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72434946064 = 24131672085299
BaseRepresentation
bin100001101110101110…
…1011001000000010000
320220222010010111221011
41003131131121000100
52141321321233224
653135352140304
75143001611525
oct1033535310020
9226863114834
1072434946064
11287a0703098
1212056397694
136aa4a4a640
14371217114c
151d3e28b394
hex10dd759010

72434946064 has 40 divisors (see below), whose sum is σ = 152043393600. Its totient is φ = 33231308928.

The previous prime is 72434945981. The next prime is 72434946097. The reversal of 72434946064 is 46064943427.

It is a super-2 number, since 2×724349460642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72434945999 and 72434946017.

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, 1007914 + ... + 1077385.

It is an arithmetic number, because the mean of its divisors is an integer number (3801084840).

Almost surely, 272434946064 is an apocalyptic number.

It is an amenable number.

72434946064 is an abundant number, since it is smaller than the sum of its proper divisors (79608447536).

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

72434946064 is a wasteful number, since it uses less digits than its factorization.

72434946064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085487 (or 2085481 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 72434946064 in words is "seventy-two billion, four hundred thirty-four million, nine hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1336 2171 2672 4342 8684 17368 34736 2085299 4170598 8341196 16682392 27108887 33364784 54217774 108435548 216871096 348244933 433742192 696489866 1392979732 2785959464 4527184129 5571918928 9054368258 18108736516 36217473032 72434946064