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122663666632 = 231329311311967
BaseRepresentation
bin111001000111101010…
…0110000001111001000
3102201121122022220012011
41302033110300033020
54002203344313012
6132203444025304
711601501651223
oct1621724601710
9381548286164
10122663666632
1148026495301
121b933992234
13b74acbc180
145d18ddc5ba
1532cdc601a7
hex1c8f5303c8

122663666632 has 64 divisors (see below), whose sum is σ = 264492748800. Its totient is φ = 52898469120.

The previous prime is 122663666591. The next prime is 122663666687. The reversal of 122663666632 is 236666366221.

It is a super-2 number, since 2×1226636666322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562488 + ... + 749479.

It is an arithmetic number, because the mean of its divisors is an integer number (4132699200).

Almost surely, 2122663666632 is an apocalyptic number.

It is an amenable number.

122663666632 is an abundant number, since it is smaller than the sum of its proper divisors (141829082168).

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

122663666632 is a wasteful number, since it uses less digits than its factorization.

122663666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312046 (or 1312042 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 49.

The spelling of 122663666632 in words is "one hundred twenty-two billion, six hundred sixty-three million, six hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 3016 3224 3596 7192 11687 23374 46748 93496 1311967 2623934 5247868 10495736 17055571 34111142 38047043 40670977 68222284 76094086 81341954 136444568 152188172 162683908 304376344 325367816 494611559 528722701 989223118 1057445402 1179458333 1978446236 2114890804 2358916666 3956892472 4229781608 4717833332 9435666664 15332958329 30665916658 61331833316 122663666632