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52146355364125 = 5311731373839901
BaseRepresentation
bin10111101101101010001001…
…11111001110000100011101
320211122010212011102221110121
423312311010333032010131
523313331213433123000
6302523412133434541
713661310204121651
oct1366650477160435
9224563764387417
1052146355364125
1115685166172160
125a22390a9ba51
1323134c3428a09
14cc3c7b79aa61
156066a678eb1a
hex2f6d44fce11d

52146355364125 has 128 divisors (see below), whose sum is σ = 72689351933952. Its totient is φ = 37031385600000.

The previous prime is 52146355364111. The next prime is 52146355364197.

52146355364125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52146355364125 - 25 = 52146355364093 is a prime.

It is a super-2 number, since 2×521463553641252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5266771675 + ... + 5266781575.

It is an arithmetic number, because the mean of its divisors is an integer number (567885561984).

Almost surely, 252146355364125 is an apocalyptic number.

52146355364125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52146355364125 is a deficient number, since it is larger than the sum of its proper divisors (20542996569827).

52146355364125 is a wasteful number, since it uses less digits than its factorization.

52146355364125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520 (or 10510 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 52146355364125 in words is "fifty-two trillion, one hundred forty-six billion, three hundred fifty-five million, three hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 73 125 137 275 365 383 685 803 1375 1507 1825 1915 3425 4015 4213 7535 9125 9575 9901 10001 17125 20075 21065 27959 37675 47875 49505 50005 52471 100375 105325 108911 110011 139795 188375 247525 250025 262355 307549 526625 544555 550055 577181 698975 722773 1237625 1250125 1311775 1356437 1537745 2722775 2750275 2885905 3494875 3613865 3792083 3830383 6558875 6782185 7688725 7950503 13613875 13751375 14429525 14920807 18069325 18960415 19151915 33910925 38443625 39752515 41712913 42134213 72147625 74604035 90346625 94802075 95759575 99019901 169554625 198762575 208564565 210671065 276822059 373020175 474010375 478797875 495099505 519515371 993812875 1042822825 1053355325 1089218911 1384110295 1865100875 2475497525 2597576855 3045042649 5214114125 5266776625 5446094555 5714669081 6920551475 12377487625 12987884275 15225213245 27230472775 28573345405 34602757375 37924622083 64939421375 76126066225 136152363875 142866727025 189623110415 380630331125 417170842913 714333635125 948115552075 2085854214565 4740577760375 10429271072825 52146355364125