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54407278692 = 22331350377041
BaseRepresentation
bin110010101010111011…
…010011000001100100
312012102201220010102000
4302222323103001210
51342411230404232
640554440445300
73634156144524
oct625273230144
9165381803360
1054407278692
112108a543838
12a664a79830
135190b80a40
1428c1bc1684
15163676a27c
hexcaaed3064

54407278692 has 96 divisors (see below), whose sum is σ = 152210338560. Its totient is φ = 16707202560.

The previous prime is 54407278657. The next prime is 54407278697. The reversal of 54407278692 is 29687270445.

54407278692 is a `hidden beast` number, since 5 + 440 + 72 + 78 + 69 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54407278697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667692 + ... + 744732.

It is an arithmetic number, because the mean of its divisors is an integer number (1585524360).

Almost surely, 254407278692 is an apocalyptic number.

54407278692 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54407278692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76105169280).

54407278692 is an abundant number, since it is smaller than the sum of its proper divisors (97803059868).

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

54407278692 is a wasteful number, since it uses less digits than its factorization.

54407278692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77570 (or 77562 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 54407278692 in words is "fifty-four billion, four hundred seven million, two hundred seventy-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 503 702 1006 1404 1509 2012 3018 4527 6036 6539 9054 13078 13581 18108 19617 26156 27162 39234 54324 58851 77041 78468 117702 154082 176553 231123 235404 308164 353106 462246 693369 706212 924492 1001533 1386738 2003066 2080107 2773476 3004599 4006132 4160214 6009198 8320428 9013797 12018396 18027594 27041391 36055188 38751623 54082782 77503246 108165564 116254869 155006492 232509738 348764607 465019476 503771099 697529214 1007542198 1046293821 1395058428 1511313297 2015084396 2092587642 3022626594 4185175284 4533939891 6045253188 9067879782 13601819673 18135759564 27203639346 54407278692