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105050611656 = 23322237652229
BaseRepresentation
bin110000111010110000…
…0010001111111001000
3101001011011020222221200
41201311200101333020
53210120424033111
6120132023104200
710406152315554
oct1416540217710
9331134228850
10105050611656
1140608371421
12184392a2060
139ba1cabc53
145127b38864
152aec83c256
hex1875811fc8

105050611656 has 48 divisors (see below), whose sum is σ = 284639694300. Its totient is φ = 35001163392.

The previous prime is 105050611579. The next prime is 105050611657. The reversal of 105050611656 is 656116050501.

It can be written as a sum of positive squares in 2 ways, for example, as 86573646756 + 18476964900 = 294234^2 + 135930^2 .

It is a super-2 number, since 2×1050506116562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105050611656.

It is not an unprimeable number, because it can be changed into a prime (105050611657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 165051 + ... + 487178.

Almost surely, 2105050611656 is an apocalyptic number.

It is an amenable number.

105050611656 is an abundant number, since it is smaller than the sum of its proper divisors (179589082644).

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

105050611656 is a wasteful number, since it uses less digits than its factorization.

105050611656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654478 (or 654471 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105050611656 in words is "one hundred five billion, fifty million, six hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2237 4474 6711 8948 13422 17896 20133 26844 40266 53688 80532 161064 652229 1304458 1956687 2608916 3913374 5217832 5870061 7826748 11740122 15653496 23480244 46960488 1459036273 2918072546 4377108819 5836145092 8754217638 11672290184 13131326457 17508435276 26262652914 35016870552 52525305828 105050611656