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40077164925 = 3252727974561
BaseRepresentation
bin100101010100110010…
…010000000101111101
310211110001020220212200
4211110302100011331
51124034223234200
630224452422113
72616102165300
oct452462200575
9124401226780
1040077164925
1115aa6573206
127925917939
133a1905c395
141d22936b37
15109867a800
hex954c9017d

40077164925 has 108 divisors (see below), whose sum is σ = 83625374196. Its totient is φ = 18293990400.

The previous prime is 40077164923. The next prime is 40077164927. The reversal of 40077164925 is 52946177004.

It is an interprime number because it is at equal distance from previous prime (40077164923) and next prime (40077164927).

It can be written as a sum of positive squares in 6 ways, for example, as 2148044409 + 37929120516 = 46347^2 + 194754^2 .

It is not a de Polignac number, because 40077164925 - 21 = 40077164923 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40077164921) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8784645 + ... + 8789205.

Almost surely, 240077164925 is an apocalyptic number.

40077164925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40077164925 is an abundant number, since it is smaller than the sum of its proper divisors (43548209271).

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

40077164925 is a wasteful number, since it uses less digits than its factorization.

40077164925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40077164925 in words is "forty billion, seventy-seven million, one hundred sixty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 797 1225 1575 2205 2391 3675 3985 4561 5579 7173 11025 11955 13683 16737 19925 22805 27895 31927 35865 39053 41049 50211 59775 68415 83685 95781 114025 117159 139475 159635 179325 195265 205245 223489 251055 287343 342075 351477 418425 478905 585795 670467 798175 976325 1026225 1117445 1255275 1436715 1757385 2011401 2394525 2928975 3352335 3635117 5587225 7183575 8786925 10057005 10905351 16761675 18175585 25445819 32716053 50285025 54526755 76337457 90877925 127229095 163580265 178120733 229012371 272633775 381687285 534362199 636145475 817901325 890603665 1145061855 1603086597 1908436425 2671810995 4453018325 5725309275 8015432985 13359054975 40077164925