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54907940160 = 2632519065257
BaseRepresentation
bin110011001000110001…
…001010110101000000
312020201121222100211100
4303020301022311000
51344422413041120
641120243414400
73652445535123
oct631061126500
9166647870740
1054907940160
1121317112147
12a784684400
135240807c28
14292c4aa3ba
1516656b4490
hexcc8c4ad40

54907940160 has 84 divisors (see below), whose sum is σ = 188860445748. Its totient is φ = 14642116608.

The previous prime is 54907940149. The next prime is 54907940167. The reversal of 54907940160 is 6104970945.

54907940160 is a `hidden beast` number, since 549 + 0 + 7 + 9 + 40 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28006691904 + 26901248256 = 167352^2 + 164016^2 .

It is a super-2 number, since 2×549079401602 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54907940167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9529749 + ... + 9535508.

Almost surely, 254907940160 is an apocalyptic number.

It is an amenable number.

54907940160 is an abundant number, since it is smaller than the sum of its proper divisors (133952505588).

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

54907940160 is a wasteful number, since it uses less digits than its factorization.

54907940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19065280 (or 19065267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 54907940 and 160, that added together give a square (54908100 = 74102).

The spelling of 54907940160 in words is "fifty-four billion, nine hundred seven million, nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 19065257 38130514 57195771 76261028 95326285 114391542 152522056 171587313 190652570 228783084 285978855 305044112 343174626 381305140 457566168 571957710 610088224 686349252 762610280 857936565 915132336 1143915420 1220176448 1372698504 1525220560 1715873130 1830264672 2287830840 2745397008 3050441120 3431746260 3660529344 4575661680 5490794016 6100882240 6863492520 9151323360 10981588032 13726985040 18302646720 27453970080 54907940160