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59000895801 = 3413721972
BaseRepresentation
bin110110111100101110…
…100011100100111001
312122021212121001110000
4312330232203210321
51431313212131201
643034333543213
74156045224321
oct667456434471
9178255531400
1059000895801
1123027516311
12b527344b09
135743774983
142bd9cda281
151804b9bd86
hexdbcba3939

59000895801 has 45 divisors (see below), whose sum is σ = 89238147229. Its totient is φ = 38848614336.

The previous prime is 59000895791. The next prime is 59000895809. The reversal of 59000895801 is 10859800095.

The square root of 59000895801 is 242901.

It is a perfect power (a square), and thus also a powerful number.

59000895801 is a `hidden beast` number, since 590 + 0 + 0 + 8 + 9 + 58 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26276085801 + 32724810000 = 162099^2 + 180900^2 .

It is not a de Polignac number, because 59000895801 - 25 = 59000895769 is a prime.

It is a super-2 number, since 2×590008958012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59000895809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299496835 + ... + 299497031.

Almost surely, 259000895801 is an apocalyptic number.

59000895801 is the 242901-st square number.

59000895801 is the 121451-st centered octagonal number.

It is an amenable number.

59000895801 is a deficient number, since it is larger than the sum of its proper divisors (30237251428).

59000895801 is an frugal number, since it uses more digits than its factorization.

59000895801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 59000895801 in words is "fifty-nine billion, eight hundred ninety-five thousand, eight hundred one".

Divisors: 1 3 9 27 81 137 197 411 591 1233 1773 3699 5319 11097 15957 18769 26989 38809 56307 80967 116427 168921 242901 349281 506763 728703 1047843 1520289 2186109 3143529 3697493 5316833 11092479 15950499 33277437 47851497 99832311 143554491 299496933 430663473 728406121 2185218363 6555655089 19666965267 59000895801