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66408787392 = 2631134337069
BaseRepresentation
bin111101110110010001…
…011010110111000000
320100102010211221022020
4331312101122313000
52042001122144032
650301402441440
74540446244023
oct756621326700
9210363757266
1066408787392
1126189035972
1210a54203280
13635442318c
1432ddab31ba
151ada1d7b2c
hexf7645adc0

66408787392 has 112 divisors (see below), whose sum is σ = 177696022560. Its totient is φ = 21886599168.

The previous prime is 66408787373. The next prime is 66408787421. The reversal of 66408787392 is 29378780466.

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 15 ways as a sum of consecutive naturals, for example, 9390834 + ... + 9397902.

It is an arithmetic number, because the mean of its divisors is an integer number (1586571630).

Almost surely, 266408787392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66408787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88848011280).

66408787392 is an abundant number, since it is smaller than the sum of its proper divisors (111287235168).

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

66408787392 is a wasteful number, since it uses less digits than its factorization.

66408787392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 66408787392 in words is "sixty-six billion, four hundred eight million, seven hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 433 452 678 866 904 1299 1356 1732 1808 2598 2712 3464 3616 5196 5424 6928 7069 7232 10392 10848 13856 14138 20784 21207 21696 27712 28276 41568 42414 48929 56552 83136 84828 97858 113104 146787 169656 195716 226208 293574 339312 391432 452416 587148 678624 782864 798797 1174296 1357248 1565728 1597594 2348592 2396391 3060877 3131456 3195188 4697184 4792782 6121754 6390376 9182631 9394368 9585564 12243508 12780752 18365262 19171128 24487016 25561504 36730524 38342256 48974032 51123008 73461048 76684512 97948064 146922096 153369024 195896128 293844192 345879101 587688384 691758202 1037637303 1383516404 2075274606 2767032808 4150549212 5534065616 8301098424 11068131232 16602196848 22136262464 33204393696 66408787392