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102466434106056 = 2336169990733679
BaseRepresentation
bin10111010011000101010011…
…011010000000001011001000
3111102210200202222020000020010
4113103011103122000023020
5101412302224112343211
61001532232513231520
730403645521135606
oct2723052332001310
9442720688200203
10102466434106056
112a715852838539
12b5aa8215625a0
13452370a764a77
141b4358aa48876
15bca5c16d04a6
hex5d31536802c8

102466434106056 has 32 divisors (see below), whose sum is σ = 260365529289600. Its totient is φ = 33595552165440.

The previous prime is 102466434106013. The next prime is 102466434106067. The reversal of 102466434106056 is 650601434664201.

It is a junction number, because it is equal to n+sod(n) for n = 102466434105996 and 102466434106014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34995365376 + ... + 34995368303.

It is an arithmetic number, because the mean of its divisors is an integer number (8136422790300).

Almost surely, 2102466434106056 is an apocalyptic number.

It is an amenable number.

102466434106056 is an abundant number, since it is smaller than the sum of its proper divisors (157899095183544).

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

102466434106056 is a wasteful number, since it uses less digits than its factorization.

102466434106056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69990733749 (or 69990733745 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 102466434106056 in words is "one hundred two trillion, four hundred sixty-six billion, four hundred thirty-four million, one hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 69990733679 139981467358 209972201037 279962934716 419944402074 559925869432 839888804148 1679777608296 4269434754419 8538869508838 12808304263257 17077739017676 25616608526514 34155478035352 51233217053028 102466434106056