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122553256056 = 23371166316697
BaseRepresentation
bin111001000100010111…
…1100100100001111000
3102201022221120110100120
41302020233210201320
54001442113143211
6132144501333240
711565661326420
oct1621057444170
9381287513316
10122553256056
1147a7a1331a0
121b902a07220
13b731171c7a
145d0849b480
1532c4200d06
hex1c88be4878

122553256056 has 64 divisors (see below), whose sum is σ = 381984180480. Its totient is φ = 31832014080.

The previous prime is 122553255991. The next prime is 122553256061. The reversal of 122553256056 is 650652355221.

122553256056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 122553255999 and 122553256017.

It is a congruent number.

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, 33156501 + ... + 33160196.

It is an arithmetic number, because the mean of its divisors is an integer number (5968502820).

Almost surely, 2122553256056 is an apocalyptic number.

It is an amenable number.

122553256056 is an abundant number, since it is smaller than the sum of its proper divisors (259430924424).

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

122553256056 is a wasteful number, since it uses less digits than its factorization.

122553256056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66316724 (or 66316720 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 122553256056 in words is "one hundred twenty-two billion, five hundred fifty-three million, two hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 66316697 132633394 198950091 265266788 397900182 464216879 530533576 729483667 795800364 928433758 1392650637 1458967334 1591600728 1856867516 2188451001 2785301274 2917934668 3713735032 4376902002 5106385669 5570602548 5835869336 8753804004 10212771338 11141205096 15319157007 17507608008 20425542676 30638314014 40851085352 61276628028 122553256056