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34464421682096 = 2471492065221817
BaseRepresentation
bin1111101011000010111111…
…00111001001101110110000
311112000202200210201100200212
413311201133213021232300
514004131113422311341
6201144423045403252
710154654332512440
oct765413747115660
9145022623640625
1034464421682096
11aa883086102aa
123a47529109528
13162cc9a3b8123
148721306a2120
153eb77319d5eb
hex1f585f9c9bb0

34464421682096 has 40 divisors (see below), whose sum is σ = 76826251629600. Its totient is φ = 14671335780864.

The previous prime is 34464421682081. The next prime is 34464421682107. The reversal of 34464421682096 is 69028612446443.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032594221 + ... + 1032627596.

It is an arithmetic number, because the mean of its divisors is an integer number (1920656290740).

Almost surely, 234464421682096 is an apocalyptic number.

It is an amenable number.

34464421682096 is an abundant number, since it is smaller than the sum of its proper divisors (42361829947504).

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

34464421682096 is a wasteful number, since it uses less digits than its factorization.

34464421682096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065221981 (or 2065221975 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 59.

The spelling of 34464421682096 in words is "thirty-four trillion, four hundred sixty-four billion, four hundred twenty-one million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 8344 16688 2065221817 4130443634 8260887268 14456552719 16521774536 28913105438 33043549072 57826210876 115652421752 231304843504 307718050733 615436101466 1230872202932 2154026355131 2461744405864 4308052710262 4923488811728 8616105420524 17232210841048 34464421682096