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18125241065397 = 32431573496911237
BaseRepresentation
bin1000001111100000111001…
…00011100001111110110101
32101011202102012202222022100
410013300130203201332311
54333430443203043042
6102314342031452313
73550335241014144
oct407603443417665
971152365688270
1018125241065397
11585896506a384
122048962687099
13a162839ca36b
144693a2c0775b
1521672c03224c
hex107c1c8e1fb5

18125241065397 has 96 divisors (see below), whose sum is σ = 27098665193600. Its totient is φ = 11667342435840.

The previous prime is 18125241065359. The next prime is 18125241065423. The reversal of 18125241065397 is 79356014252181.

18125241065397 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 5 + 241 + 0 + 6 + 5 + 397 = 666.

It is not a de Polignac number, because 18125241065397 - 26 = 18125241065333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18125241065597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14652579063 + ... + 14652580299.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18125241065397 = 36250482130794, but 3⋅18125241065397 = 54375723196191 is not.

Almost surely, 218125241065397 is an apocalyptic number.

It is an amenable number.

18125241065397 is a deficient number, since it is larger than the sum of its proper divisors (8973424128203).

18125241065397 is a wasteful number, since it uses less digits than its factorization.

18125241065397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 18125241065397 in words is "eighteen trillion, one hundred twenty-five billion, two hundred forty-one million, sixty-five thousand, three hundred ninety-seven".

Divisors: 1 3 9 43 129 157 349 387 471 691 1047 1237 1413 2073 3141 3711 6219 6751 11133 15007 20253 29713 45021 53191 54793 60759 89139 108487 135063 159573 164379 194209 241159 267417 325461 431713 478719 493137 582627 723477 854767 976383 1295139 1747881 2170431 2356099 2564301 3885417 4664941 7068297 7692903 8350987 10369837 13994823 18563659 21204891 25052961 31109511 36754981 37861963 41984469 55690977 67778941 75158883 93328533 110264943 113585889 134198419 167072931 203336823 298313683 330794829 340757667 402595257 610010469 894941049 1207785771 1628064409 2684823147 2914494463 4884193227 5770532017 8743483389 12827488369 14652579681 17311596051 26230450167 38482465107 46835248231 51934788153 115447395321 140505744693 421517234079 2013915673933 6041747021799 18125241065397