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77830730232 = 23353149940819
BaseRepresentation
bin100100001111100010…
…0101011000111111000
321102220011020202022020
41020133010223013320
52233344131331412
655431022354440
75423501201643
oct1103704530770
9242804222266
1077830730232
113000a466652
121310142ba20
1374548a2938
143aa4a1aa5a
152057d2218c
hex121f12b1f8

77830730232 has 64 divisors (see below), whose sum is σ = 198385200000. Its totient is φ = 25436471424.

The previous prime is 77830730209. The next prime is 77830730291. The reversal of 77830730232 is 23203703877.

It is a congruent number.

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, 1886319 + ... + 1927137.

It is an arithmetic number, because the mean of its divisors is an integer number (3099768750).

Almost surely, 277830730232 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 77830730232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99192600000).

77830730232 is an abundant number, since it is smaller than the sum of its proper divisors (120554469768).

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

77830730232 is a wasteful number, since it uses less digits than its factorization.

77830730232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42380 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 77830730232 in words is "seventy-seven billion, eight hundred thirty million, seven hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1499 2998 4497 5996 8994 11992 17988 35976 40819 79447 81638 122457 158894 163276 238341 244914 317788 326552 476682 489828 635576 953364 979656 1906728 2163407 4326814 6490221 8653628 12980442 17307256 25960884 51921768 61187681 122375362 183563043 244750724 367126086 489501448 734252172 1468504344 3242947093 6485894186 9728841279 12971788372 19457682558 25943576744 38915365116 77830730232