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190812528225 = 34521117334943
BaseRepresentation
bin1011000110110101010…
…0000001111001100001
3200020112001102202120000
42301231110001321201
511111241001400400
6223354050410213
716533340505004
oct2615524017141
9606461382500
10190812528225
1173a17774720
1230b92890969
1314cbba80147
149341c2953b
154e6bab5600
hex2c6d501e61

190812528225 has 120 divisors (see below), whose sum is σ = 385883194752. Its totient is φ = 92443075200.

The previous prime is 190812528197. The next prime is 190812528271. The reversal of 190812528225 is 522825218091.

190812528225 is a `hidden beast` number, since 1 + 90 + 8 + 12 + 528 + 2 + 25 = 666.

It is not a de Polignac number, because 190812528225 - 26 = 190812528161 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 an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 38600104 + ... + 38605046.

Almost surely, 2190812528225 is an apocalyptic number.

190812528225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

190812528225 is an abundant number, since it is smaller than the sum of its proper divisors (195070666527).

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

190812528225 is a wasteful number, since it uses less digits than its factorization.

190812528225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 190812528225 in words is "one hundred ninety billion, eight hundred twelve million, five hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 1733 2025 2475 4455 4943 5199 7425 8665 14829 15597 19063 22275 24715 25995 43325 44487 46791 54373 57189 74145 77985 95315 123575 129975 133461 140373 163119 171567 222435 233955 271865 285945 370725 389925 400383 476575 489357 514701 667305 701865 815595 857835 1112175 1169775 1359325 1429725 1468071 1544103 2001915 2446785 2573505 3336525 3509325 4077975 4289175 4404213 7340355 7720515 8566219 10009575 12233925 12867525 22021065 25698657 36701775 38602575 42831095 77095971 94228409 110105325 128493285 214155475 231287913 282685227 385479855 471142045 642466425 693863739 848055681 1156439565 1413426135 1927399275 2355710225 2544167043 3469318695 4240278405 5782197825 7067130675 7632501129 12720835215 17346593475 21201392025 38162505645 63604176075 190812528225