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54151787052 = 2232112349112109
BaseRepresentation
bin110010011011101100…
…101011001000101100
312011202221010210202200
4302123230223020230
51341400324141202
640513232421500
73624634411116
oct623354531054
9164687123680
1054151787052
1120a692aa120
12a5b33a7890
13514cc6785c
142899cb63b6
15161e0ede1c
hexc9bb2b22c

54151787052 has 144 divisors (see below), whose sum is σ = 156150408960. Its totient is φ = 15662908800.

The previous prime is 54151787051. The next prime is 54151787059. The reversal of 54151787052 is 25078715145.

54151787052 is a `hidden beast` number, since 5 + 4 + 1 + 517 + 87 + 0 + 52 = 666.

54151787052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54151786989 and 54151787007.

It is not an unprimeable number, because it can be changed into a prime (54151787051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4465974 + ... + 4478082.

It is an arithmetic number, because the mean of its divisors is an integer number (1084377840).

Almost surely, 254151787052 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 54151787052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78075204480).

54151787052 is an abundant number, since it is smaller than the sum of its proper divisors (101998621908).

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

54151787052 is a wasteful number, since it uses less digits than its factorization.

54151787052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 54151787052 in words is "fifty-four billion, one hundred fifty-one million, seven hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 491 506 759 828 982 1012 1473 1518 1964 2277 2946 3036 4419 4554 5401 5892 8838 9108 10802 11293 12109 16203 17676 21604 22586 24218 32406 33879 36327 45172 48436 48609 64812 67758 72654 97218 101637 108981 124223 133199 135516 145308 194436 203274 217962 248446 266398 278507 372669 399597 406548 435924 496892 532796 557014 745338 799194 835521 1114028 1118007 1198791 1490676 1598388 1671042 2236014 2397582 2506563 3063577 3342084 4472028 4795164 5013126 5945519 6127154 9190731 10026252 11891038 12254308 17836557 18381462 23782076 27572193 35673114 36762924 53509671 55144386 65400709 71346228 107019342 110288772 130801418 136746937 196202127 214038684 261602836 273493874 392404254 410240811 546987748 588606381 784808508 820481622 1177212762 1230722433 1504216307 1640963244 2354425524 2461444866 3008432614 4512648921 4922889732 6016865228 9025297842 13537946763 18050595684 27075893526 54151787052