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858506021136 = 2432772132
BaseRepresentation
bin11000111111000101111…
…00100100100100010000
310001001221202112120000100
430133202330210210100
5103031210020134021
61454220415252400
7116011402530141
oct14374274444420
93031852476010
10858506021136
113010aa2a4385
1211a473b1a100
1362c590420aa
142d7a2641ac8
15174e97d9626
hexc7e2f24910

858506021136 has 45 divisors (see below), whose sum is σ = 2402655606949. Its totient is φ = 286164967488.

The previous prime is 858506021119. The next prime is 858506021183. The reversal of 858506021136 is 631120605858.

The square root of 858506021136 is 926556.

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

858506021136 is a `hidden beast` number, since 8 + 5 + 8 + 5 + 0 + 602 + 1 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 837115203600 + 21390817536 = 914940^2 + 146256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 858506021091 and 858506021100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11080066 + ... + 11157278.

Almost surely, 2858506021136 is an apocalyptic number.

858506021136 is the 926556-th square number.

It is an amenable number.

858506021136 is an abundant number, since it is smaller than the sum of its proper divisors (1544149585813).

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

858506021136 is an frugal number, since it uses more digits than its factorization.

858506021136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154440 (or 77218 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 858506021136 in words is "eight hundred fifty-eight billion, five hundred six million, twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 77213 154426 231639 308852 463278 617704 694917 926556 1235408 1389834 1853112 2779668 3706224 5559336 11118672 5961847369 11923694738 17885542107 23847389476 35771084214 47694778952 53656626321 71542168428 95389557904 107313252642 143084336856 214626505284 286168673712 429253010568 858506021136