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106215113646 = 2334345742943
BaseRepresentation
bin110001011101011101…
…0100000001110101110
3101011011022110211101000
41202322322200032232
53220012032114041
6120443342301130
710450052366235
oct1427272401656
9334138424330
10106215113646
1141055731a64
12187032877a6
13a029324a95
1451d8667b1c
152b69bb4bb6
hex18baea03ae

106215113646 has 32 divisors (see below), whose sum is σ = 241522744320. Its totient is φ = 34581664152.

The previous prime is 106215113629. The next prime is 106215113647. The reversal of 106215113646 is 646311512601.

106215113646 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 5 + 1 + 1 + 3 + 646 = 666.

It is a super-2 number, since 2×1062151136462 (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 106215113646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106215113647) 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, 22869150 + ... + 22873793.

It is an arithmetic number, because the mean of its divisors is an integer number (7547585760).

Almost surely, 2106215113646 is an apocalyptic number.

106215113646 is an abundant number, since it is smaller than the sum of its proper divisors (135307630674).

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

106215113646 is a wasteful number, since it uses less digits than its factorization.

106215113646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45742997 (or 45742991 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106215113646 in words is "one hundred six billion, two hundred fifteen million, one hundred thirteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 45742943 91485886 137228829 274457658 411686487 823372974 1235059461 1966946549 2470118922 3933893098 5900839647 11801679294 17702518941 35405037882 53107556823 106215113646