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106875457656 = 23311715701849
BaseRepresentation
bin110001110001001000…
…1100001000001111000
3101012212100000210001120
41203202101201001320
53222340104121111
6121033051545240
710502321254362
oct1434221410170
9335770023046
10106875457656
1141364456210
121886845b220
13a10308b096
14525c23bd32
152ba7b52406
hex18e2461078

106875457656 has 64 divisors (see below), whose sum is σ = 295583904000. Its totient is φ = 31930348800.

The previous prime is 106875457651. The next prime is 106875457673. The reversal of 106875457656 is 656754578601.

It is a happy number.

It is a super-2 number, since 2×1068754576562 (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 106875457656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106875457651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832181 + ... + 2869668.

It is an arithmetic number, because the mean of its divisors is an integer number (4618498500).

Almost surely, 2106875457656 is an apocalyptic number.

It is an amenable number.

106875457656 is an abundant number, since it is smaller than the sum of its proper divisors (188708446344).

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

106875457656 is a wasteful number, since it uses less digits than its factorization.

106875457656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701940 (or 5701936 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 106875457656 in words is "one hundred six billion, eight hundred seventy-five million, four hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 18744 5701849 11403698 17105547 22807396 34211094 45614792 62720339 68422188 125440678 136844376 188161017 250881356 376322034 404831279 501762712 752644068 809662558 1214493837 1505288136 1619325116 2428987674 3238650232 4453144069 4857975348 8906288138 9715950696 13359432207 17812576276 26718864414 35625152552 53437728828 106875457656