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87239822307 = 3112737574349
BaseRepresentation
bin101000100111111100…
…1100000101111100011
322100011220010011010220
41101033321200233203
52412131343303212
6104024420054123
76205612153161
oct1211771405743
9270156104126
1087239822307
1133aa8672800
1214aa8534343
1382c4028a41
1443184c2231
152408dab38c
hex144fe60be3

87239822307 has 48 divisors (see below), whose sum is σ = 129808106400. Its totient is φ = 52067473920.

The previous prime is 87239822297. The next prime is 87239822309. The reversal of 87239822307 is 70322893278.

It is not a de Polignac number, because 87239822307 - 28 = 87239822051 is a prime.

It is a super-5 number, since 5×872398223075 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 87239822307.

It is not an unprimeable number, because it can be changed into a prime (87239822309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20057569 + ... + 20061917.

It is an arithmetic number, because the mean of its divisors is an integer number (2704335550).

Almost surely, 287239822307 is an apocalyptic number.

87239822307 is a deficient number, since it is larger than the sum of its proper divisors (42568284093).

87239822307 is a wasteful number, since it uses less digits than its factorization.

87239822307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 87239822307 in words is "eighty-seven billion, two hundred thirty-nine million, eight hundred twenty-two thousand, three hundred seven".

Divisors: 1 3 11 33 73 121 219 363 757 803 2271 2409 4349 8327 8833 13047 24981 26499 47839 55261 91597 143517 165783 274791 317477 526229 607871 952431 1578687 1823613 3292193 3492247 6686581 9876579 10476741 20059743 36214123 38414717 108642369 115244151 240330089 398355353 720990267 1195066059 2643630979 7930892937 29079940769 87239822307