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102206195808 = 2531318127083
BaseRepresentation
bin101111100101111110…
…1101100100001100000
3100202210220222200221120
41133023331230201200
53133304241231213
6114541453252240
710245523221153
oct1371375544140
9322726880846
10102206195808
113a388807722
1217984794080
13983a900252
144d38071c9a
1529d2c7c423
hex17cbf6c860

102206195808 has 48 divisors (see below), whose sum is σ = 270339322176. Its totient is φ = 33808661120.

The previous prime is 102206195801. The next prime is 102206195831. The reversal of 102206195808 is 808591602201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1022061958082 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102206195808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102206195801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4050966 + ... + 4076117.

It is an arithmetic number, because the mean of its divisors is an integer number (5632069212).

Almost surely, 2102206195808 is an apocalyptic number.

It is an amenable number.

102206195808 is an abundant number, since it is smaller than the sum of its proper divisors (168133126368).

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

102206195808 is a wasteful number, since it uses less digits than its factorization.

102206195808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127227 (or 8127219 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 102206195808 in words is "one hundred two billion, two hundred six million, one hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 8127083 16254166 24381249 32508332 48762498 65016664 97524996 130033328 195049992 260066656 390099984 780199968 1064647873 2129295746 3193943619 4258591492 6387887238 8517182984 12775774476 17034365968 25551548952 34068731936 51103097904 102206195808