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106275016516 = 22234334497789
BaseRepresentation
bin110001011111001111…
…1000000111101000100
3101011022111012012122211
41202332133000331010
53220122401012031
6120453322233204
710451410510204
oct1427637007504
9334274165584
10106275016516
1141086526969
121871b355804
13a038869776
1452025bc404
152b70098bb1
hex18be7c0f44

106275016516 has 48 divisors (see below), whose sum is σ = 198663696000. Its totient is φ = 49624388352.

The previous prime is 106275016513. The next prime is 106275016567. The reversal of 106275016516 is 615610572601.

It is a super-2 number, since 2×1062750165162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106275016513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13640350 + ... + 13648138.

It is an arithmetic number, because the mean of its divisors is an integer number (4138827000).

Almost surely, 2106275016516 is an apocalyptic number.

It is an amenable number.

106275016516 is a deficient number, since it is larger than the sum of its proper divisors (92388679484).

106275016516 is a wasteful number, since it uses less digits than its factorization.

106275016516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 106275016516 in words is "one hundred six billion, two hundred seventy-five million, sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 23 43 46 86 92 172 989 1978 3449 3956 6898 7789 13796 15578 31156 79327 148307 158654 179147 296614 317308 334927 358294 593228 669854 716588 1339708 3411061 6822122 7703321 13644244 15406642 26864261 30813284 53728522 107457044 617878003 1155163223 1235756006 2310326446 2471512012 4620652892 26568754129 53137508258 106275016516