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1966031244 = 2233471572467
BaseRepresentation
bin111010100101111…
…0100000110001100
312002000102201212000
41311023310012030
513011300444434
6523030512300
766501663342
oct16513640614
95060381760
101966031244
11919856411
1246a505690
13254412ac8
14149175992
15b7902b99
hex752f418c

1966031244 has 96 divisors (see below), whose sum is σ = 5240847360. Its totient is φ = 637056576.

The previous prime is 1966031233. The next prime is 1966031257. The reversal of 1966031244 is 4421306691.

1966031244 is a `hidden beast` number, since 1 + 9 + 6 + 603 + 1 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1966031199 and 1966031208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795699 + ... + 798165.

It is an arithmetic number, because the mean of its divisors is an integer number (54592160).

Almost surely, 21966031244 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 1966031244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620423680).

1966031244 is an abundant number, since it is smaller than the sum of its proper divisors (3274816116).

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

1966031244 is a wasteful number, since it uses less digits than its factorization.

1966031244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1966031244 is about 44339.9508795398. The cubic root of 1966031244 is about 1252.7472895499.

It can be divided in two parts, 19660312 and 44, that added together give a square (19660356 = 44342).

The spelling of 1966031244 in words is "one billion, nine hundred sixty-six million, thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 157 188 282 314 423 471 564 628 846 942 1269 1413 1692 1884 2467 2538 2826 4239 4934 5076 5652 7379 7401 8478 9868 14758 14802 16956 22137 22203 29516 29604 44274 44406 66411 66609 88548 88812 115949 132822 133218 199233 231898 265644 266436 347847 387319 398466 463796 695694 774638 796932 1043541 1161957 1391388 1549276 2087082 2323914 3130623 3485871 4174164 4647828 6261246 6971742 10457613 12522492 13943484 18203993 20915226 36407986 41830452 54611979 72815972 109223958 163835937 218447916 327671874 491507811 655343748 983015622 1966031244