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10516011506 = 2711213477523
BaseRepresentation
bin10011100101100110…
…11001100111110010
31000010212201201211122
421302303121213302
5133014044332011
64455254342242
7521411423450
oct116263314762
930125651748
1010516011506
114507018100
12205595a982
13cb788a420
1471a8c59d0
1541833a3db
hex272cd99f2

10516011506 has 48 divisors (see below), whose sum is σ = 21339592512. Its totient is φ = 3781974240.

The previous prime is 10516011481. The next prime is 10516011511. The reversal of 10516011506 is 60511061501.

It is a super-2 number, since 2×105160115062 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216740 + ... + 260783.

It is an arithmetic number, because the mean of its divisors is an integer number (444574844).

Almost surely, 210516011506 is an apocalyptic number.

10516011506 is an abundant number, since it is smaller than the sum of its proper divisors (10823581006).

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

10516011506 is a wasteful number, since it uses less digits than its factorization.

10516011506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477567 (or 477556 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 10516011506 in words is "ten billion, five hundred sixteen million, eleven thousand, five hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 477523 955046 3342661 5252753 6207799 6685322 10505506 12415598 36769271 43454593 57780283 68285789 73538542 86909186 115560566 136571578 404461981 478000523 751143679 808923962 956001046 1502287358 5258005753 10516011506