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55195444440 = 2334553321427
BaseRepresentation
bin110011011001111001…
…111010010011011000
312021110122222002120000
4303121321322103120
51401020013210230
641204553533000
73662536352043
oct633171722330
9167418862500
1055195444440
1121454431394
12a844a14160
13528824c1c6
142958749c5a
151680a55b60
hexcd9e7a4d8

55195444440 has 160 divisors (see below), whose sum is σ = 189018949680. Its totient is φ = 14441027328.

The previous prime is 55195444439. The next prime is 55195444471. The reversal of 55195444440 is 4444459155.

55195444440 is a `hidden beast` number, since 5 + 519 + 54 + 4 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11007 + ... + 332433.

Almost surely, 255195444440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55195444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94509474840).

55195444440 is an abundant number, since it is smaller than the sum of its proper divisors (133823505240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55195444440 is a wasteful number, since it uses less digits than its factorization.

55195444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321503 (or 321490 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 55195444440 in words is "fifty-five billion, one hundred ninety-five million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3816 4293 4770 5724 6360 7155 8586 9540 11448 14310 17172 19080 21465 28620 34344 42930 57240 85860 171720 321427 642854 964281 1285708 1607135 1928562 2571416 2892843 3214270 3857124 4821405 5785686 6428540 7714248 8678529 9642810 11571372 12857080 14464215 17035631 17357058 19285620 23142744 26035587 28928430 34071262 34714116 38571240 43392645 51106893 52071174 57856860 68142524 69428232 85178155 86785290 102213786 104142348 115713720 130177935 136285048 153320679 170356310 173570580 204427572 208284696 255534465 260355870 306641358 340712620 347141160 408855144 459962037 511068930 520711740 613282716 681425240 766603395 919924074 1022137860 1041423480 1226565432 1379886111 1533206790 1839848148 2044275720 2299810185 2759772222 3066413580 3679696296 4599620370 5519544444 6132827160 6899430555 9199240740 11039088888 13798861110 18398481480 27597722220 55195444440