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77189474964 = 22375373237509
BaseRepresentation
bin100011111100011011…
…0011110101010010100
321101020110121121110010
41013320312132222110
52231041001144324
655243234200220
75401553466030
oct1077066365224
9241213547403
1077189474964
112a8104a0018
1212b62723070
137381a91054
143a437b51c0
15201b8a5829
hex11f8d9ea94

77189474964 has 96 divisors (see below), whose sum is σ = 212596151040. Its totient is φ = 21341518848.

The previous prime is 77189474959. The next prime is 77189474977. The reversal of 77189474964 is 46947498177.

It is a junction number, because it is equal to n+sod(n) for n = 77189474895 and 77189474904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206242 + ... + 443750.

It is an arithmetic number, because the mean of its divisors is an integer number (2214543240).

Almost surely, 277189474964 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 77189474964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106298075520).

77189474964 is an abundant number, since it is smaller than the sum of its proper divisors (135406676076).

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

77189474964 is a wasteful number, since it uses less digits than its factorization.

77189474964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237649 (or 237647 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 66.

The spelling of 77189474964 in words is "seventy-seven billion, one hundred eighty-nine million, four hundred seventy-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 73 84 106 146 159 212 219 292 318 371 438 511 636 742 876 1022 1113 1484 1533 2044 2226 3066 3869 4452 6132 7738 11607 15476 23214 27083 46428 54166 81249 108332 162498 237509 324996 475018 712527 950036 1425054 1662563 2850108 3325126 4987689 6650252 9975378 12587977 17338157 19950756 25175954 34676314 37763931 50351908 52014471 69352628 75527862 88115839 104028942 121367099 151055724 176231678 208057884 242734198 264347517 352463356 364101297 485468396 528695034 728202594 918922321 1057390068 1456405188 1837844642 2756766963 3675689284 5513533926 6432456247 11027067852 12864912494 19297368741 25729824988 38594737482 77189474964