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80664577632 = 25322339911213
BaseRepresentation
bin100101100011111111…
…0111100011001100000
321201012122122010010100
41023013332330121200
52310200112441012
6101020133502400
75553641411502
oct1130776743140
9251178563110
1080664577632
11312340620a1
12137724a1a00
1377b6a21112
143c93131d72
1521719e58dc
hex12c7fbc660

80664577632 has 144 divisors (see below), whose sum is σ = 230796978048. Its totient is φ = 26723727360.

The previous prime is 80664577583. The next prime is 80664577633. The reversal of 80664577632 is 23677546608.

80664577632 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 4 + 577 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80664577633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66499458 + ... + 66500670.

It is an arithmetic number, because the mean of its divisors is an integer number (1602756792).

Almost surely, 280664577632 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 80664577632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115398489024).

80664577632 is an abundant number, since it is smaller than the sum of its proper divisors (150132400416).

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

80664577632 is a wasteful number, since it uses less digits than its factorization.

80664577632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 80664577632 in words is "eighty billion, six hundred sixty-four million, five hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 991 1213 1398 1864 1982 2097 2426 2796 2973 3639 3728 3964 4194 4852 5592 5946 7278 7456 7928 8388 8919 9704 10917 11184 11892 14556 15856 16776 17838 19408 21834 22368 23784 29112 31712 33552 35676 38816 43668 47568 58224 67104 71352 87336 95136 116448 142704 174672 230903 282629 285408 349344 461806 565258 692709 847887 923612 1130516 1202083 1385418 1695774 1847224 2078127 2261032 2404166 2543661 2770836 3391548 3606249 3694448 4156254 4522064 4808332 5087322 5541672 6783096 7212498 7388896 8312508 9044128 9616664 10174644 10818747 11083344 13566192 14424996 16625016 19233328 20349288 21637494 22166688 27132384 28849992 33250032 38466656 40698576 43274988 57699984 66500064 81397152 86549976 115399968 173099952 280085339 346199904 560170678 840256017 1120341356 1680512034 2240682712 2520768051 3361024068 4481365424 5041536102 6722048136 8962730848 10083072204 13444096272 20166144408 26888192544 40332288816 80664577632