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10515150252 = 22322910071983
BaseRepresentation
bin10011100101100000…
…00111010110101100
31000010211002222102100
421302300013112230
5133013334302002
64455224055100
7521401205505
oct116260072654
930124088370
1010515150252
11450658a022
122055604490
13cb76483c9
1471a73dbac
1541821a11c
hex272c075ac

10515150252 has 36 divisors (see below), whose sum is σ = 27496516320. Its totient is φ = 3384185952.

The previous prime is 10515150241. The next prime is 10515150277. The reversal of 10515150252 is 25205151501.

10515150252 is a `hidden beast` number, since 1 + 0 + 5 + 151 + 502 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105151502522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5034948 + ... + 5037035.

It is an arithmetic number, because the mean of its divisors is an integer number (763792120).

Almost surely, 210515150252 is an apocalyptic number.

10515150252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10515150252 is an abundant number, since it is smaller than the sum of its proper divisors (16981366068).

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

10515150252 is a wasteful number, since it uses less digits than its factorization.

10515150252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072022 (or 10072017 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

It can be divided in two parts, 105151 and 50252, that added together give a triangular number (155403 = T557).

The spelling of 10515150252 in words is "ten billion, five hundred fifteen million, one hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10071983 20143966 30215949 40287932 60431898 90647847 120863796 181295694 292087507 362591388 584175014 876262521 1168350028 1752525042 2628787563 3505050084 5257575126 10515150252