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83745737664 = 2632391825003
BaseRepresentation
bin100110111111110100…
…0101000101111000000
322000011101101021002120
41031333220220233000
52333002402101124
6102250001444240
76023204011401
oct1157750505700
9260141337076
1083745737664
1132575316246
1214292340680
137b88180a34
1440a64239a8
1522a226bd79
hex137fa28bc0

83745737664 has 56 divisors (see below), whose sum is σ = 222504487680. Its totient is φ = 27798430464.

The previous prime is 83745737651. The next prime is 83745737681. The reversal of 83745737664 is 46673754738.

It is a junction number, because it is equal to n+sod(n) for n = 83745737598 and 83745737607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866614 + ... + 958389.

Almost surely, 283745737664 is an apocalyptic number.

It is an amenable number.

83745737664 is an abundant number, since it is smaller than the sum of its proper divisors (138758750016).

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

83745737664 is a wasteful number, since it uses less digits than its factorization.

83745737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825257 (or 1825247 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 60.

The spelling of 83745737664 in words is "eighty-three billion, seven hundred forty-five million, seven hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 45888 1825003 3650006 5475009 7300012 10950018 14600024 21900036 29200048 43800072 58400096 87600144 116800192 175200288 350400576 436175717 872351434 1308527151 1744702868 2617054302 3489405736 5234108604 6978811472 10468217208 13957622944 20936434416 27915245888 41872868832 83745737664