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77732640832 = 2671136374337
BaseRepresentation
bin100100001100100111…
…0011111100001000000
321102122022200021221111
41020121032133201000
52233144024001312
655413200133104
75421200355010
oct1103116374100
9242568607844
1077732640832
112aa6a05a630
1213094607194
13743a47a982
143a959a5c40
15204e3e88a7
hex121939f840

77732640832 has 112 divisors (see below), whose sum is σ = 192409803648. Its totient is φ = 30270136320.

The previous prime is 77732640827. The next prime is 77732640857. The reversal of 77732640832 is 23804623777.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17920968 + ... + 17925304.

Almost surely, 277732640832 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 77732640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96204901824).

77732640832 is an abundant number, since it is smaller than the sum of its proper divisors (114677162816).

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

77732640832 is a wasteful number, since it uses less digits than its factorization.

77732640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 77732640832 in words is "seventy-seven billion, seven hundred thirty-two million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 3637 4337 4928 7274 8674 14548 17348 25459 29096 30359 34696 40007 47707 50918 58192 60718 69392 80014 95414 101836 116384 121436 138784 160028 190828 203672 232768 242872 277568 280049 320056 333949 381656 407344 485744 560098 640112 667898 763312 814688 971488 1120196 1280224 1335796 1526624 1629376 1942976 2240392 2560448 2671592 3053248 4480784 5343184 8961568 10686368 15773669 17923136 21372736 31547338 63094676 110415683 126189352 173510359 220831366 252378704 347020718 441662732 504757408 694041436 883325464 1009514816 1214572513 1388082872 1766650928 2429145026 2776165744 3533301856 4858290052 5552331488 7066603712 9716580104 11104662976 19433160208 38866320416 77732640832