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55303511112 = 23327346722531
BaseRepresentation
bin110011100000010110…
…001001110001001000
312021202012022110011100
4303200112021301020
51401230144323422
641223414101400
73665321042163
oct634026116110
9167665273140
1055303511112
11214aa432493
12a87504a860
1352a4758595
142968c3aada
15168a2a07ac
hexce0589c48

55303511112 has 96 divisors (see below), whose sum is σ = 152164003680. Its totient is φ = 18142237440.

The previous prime is 55303511057. The next prime is 55303511143. The reversal of 55303511112 is 21111530355.

55303511112 is a `hidden beast` number, since 5 + 5 + 30 + 3 + 511 + 112 = 666.

It is a super-4 number, since 4×553035111124 (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443287 + ... + 2465817.

It is an arithmetic number, because the mean of its divisors is an integer number (1585041705).

Almost surely, 255303511112 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 55303511112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76082001840).

55303511112 is an abundant number, since it is smaller than the sum of its proper divisors (96860492568).

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

55303511112 is a wasteful number, since it uses less digits than its factorization.

55303511112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23083 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 55303511112 in words is "fifty-five billion, three hundred three million, five hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 467 584 657 876 934 1314 1401 1752 1868 2628 2802 3736 4203 5256 5604 8406 11208 16812 22531 33624 34091 45062 67593 68182 90124 102273 135186 136364 180248 202779 204546 270372 272728 306819 405558 409092 540744 613638 811116 818184 1227276 1622232 1644763 2454552 3289526 4934289 6579052 9868578 10521977 13158104 14802867 19737156 21043954 29605734 31565931 39474312 42087908 59211468 63131862 84175816 94697793 118422936 126263724 189395586 252527448 378791172 757582344 768104321 1536208642 2304312963 3072417284 4608625926 6144834568 6912938889 9217251852 13825877778 18434503704 27651755556 55303511112