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47145680076 = 223114118734651
BaseRepresentation
bin101011111010000110…
…011111110011001100
311111200122220200210010
4223322012133303030
51233023243230301
633354115313220
73256212445215
oct537206376314
9144618820703
1047145680076
1118aa3564270
129178bab810
1345a4604021
1423d360a40c
15135deca5d6
hexafa19fccc

47145680076 has 96 divisors (see below), whose sum is σ = 123026270976. Its totient is φ = 13927680000.

The previous prime is 47145680041. The next prime is 47145680093. The reversal of 47145680076 is 67008654174.

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, 10134351 + ... + 10139001.

It is an arithmetic number, because the mean of its divisors is an integer number (1281523656).

Almost surely, 247145680076 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 47145680076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513135488).

47145680076 is an abundant number, since it is smaller than the sum of its proper divisors (75880590900).

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

47145680076 is a wasteful number, since it uses less digits than its factorization.

47145680076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 47145680076 in words is "forty-seven billion, one hundred forty-five million, six hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 1873 2706 3746 4651 5412 5619 7492 9302 11238 13953 18604 20603 22476 27906 41206 51161 55812 61809 76793 82412 102322 123618 153483 153586 190691 204644 230379 247236 306966 307172 381382 460758 572073 613932 762764 844723 921516 1144146 1689446 2097601 2288292 2534169 3378892 4195202 5068338 6292803 8390404 8711323 10136676 12585606 17422646 25171212 26133969 34845292 52267938 95824553 104535876 191649106 287473659 357164243 383298212 574947318 714328486 1071492729 1149894636 1428656972 2142985458 3928806673 4285970916 7857613346 11786420019 15715226692 23572840038 47145680076