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76411630372 = 227211191185557
BaseRepresentation
bin100011100101001111…
…1001111001100100100
321022020020222000021011
41013022133033030210
52222442334132442
655034130232004
75343360066400
oct1071237171444
9238206860234
1076411630372
112a451411950
1212986125604
13728989768c
1439ac376100
151ec3458117
hex11ca7cf324

76411630372 has 72 divisors (see below), whose sum is σ = 170582727168. Its totient is φ = 29614737600.

The previous prime is 76411630313. The next prime is 76411630381. The reversal of 76411630372 is 27303611467.

It is a super-2 number, since 2×764116303722 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 319018 + ... + 504574.

It is an arithmetic number, because the mean of its divisors is an integer number (2369204544).

Almost surely, 276411630372 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 76411630372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85291363584).

76411630372 is an abundant number, since it is smaller than the sum of its proper divisors (94171096796).

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

76411630372 is a wasteful number, since it uses less digits than its factorization.

76411630372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185777 (or 185768 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 76411630372 in words is "seventy-six billion, four hundred eleven million, six hundred thirty thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 191 196 308 382 539 764 1078 1337 2101 2156 2674 4202 5348 8404 9359 14707 18718 29414 37436 58828 102949 185557 205898 371114 411796 742228 1298899 2041127 2597798 4082254 5195596 8164508 9092293 14287889 18184586 28575778 35441387 36369172 57151556 70882774 100015223 141765548 200030446 248089709 389855257 400060892 496179418 779710514 992358836 1559421028 1736627963 2728986799 3473255926 5457973598 6946511852 10915947196 19102907593 38205815186 76411630372