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968434056835 = 57315341940193
BaseRepresentation
bin11100001011110110010…
…10101111111010000011
310102120200211112100220221
432011323022233322003
5111331323104304320
62020520434443511
7126652461443140
oct16057312577203
93376624470827
10968434056835
1134378a861663
12137832733597
137042766336b
1434c300513c7
151a2d04193aa
hexe17b2afe83

968434056835 has 64 divisors (see below), whose sum is σ = 1400217477120. Its totient is φ = 629001584640.

The previous prime is 968434056833. The next prime is 968434056869. The reversal of 968434056835 is 538650434869.

It is not a de Polignac number, because 968434056835 - 21 = 968434056833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968434056833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24074499 + ... + 24114691.

It is an arithmetic number, because the mean of its divisors is an integer number (21878398080).

Almost surely, 2968434056835 is an apocalyptic number.

968434056835 is a deficient number, since it is larger than the sum of its proper divisors (431783420285).

968434056835 is a wasteful number, since it uses less digits than its factorization.

968434056835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40708.

The product of its (nonzero) digits is 74649600, while the sum is 61.

The spelling of 968434056835 in words is "nine hundred sixty-eight billion, four hundred thirty-four million, fifty-six thousand, eight hundred thirty-five".

Divisors: 1 5 7 31 35 53 155 217 265 371 419 1085 1643 1855 2095 2933 8215 11501 12989 14665 22207 40193 57505 64945 90923 111035 155449 200965 281351 454615 688417 777245 1245983 1406755 2130229 3442085 4818919 6229915 8721881 10651145 14911603 16840867 24094595 43609405 66037099 74558015 84204335 117886069 330185495 462259693 522066877 589430345 892565951 2311298465 2610334385 3654468139 4462829755 6247961657 18272340695 27669544481 31239808285 138347722405 193686811367 968434056835