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639476638880 = 25553433174157
BaseRepresentation
bin10010100111000111100…
…01110010010010100000
32021010121020010002111112
421103203301302102200
540434122004421010
61205434351402452
764125553513442
oct11234361622240
92233536102445
10639476638880
11227222989692
12a3b27523428
13483c1468721
1422d45138492
151197a924a05
hex94e3c724a0

639476638880 has 96 divisors (see below), whose sum is σ = 1542832283664. Its totient is φ = 250383384576.

The previous prime is 639476638817. The next prime is 639476638897. The reversal of 639476638880 is 88836674936.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116753422864 + 522723216016 = 341692^2 + 722996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 639476638880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3584762 + ... + 3758918.

Almost surely, 2639476638880 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 639476638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771416141832).

639476638880 is an abundant number, since it is smaller than the sum of its proper divisors (903355644784).

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

639476638880 is a wasteful number, since it uses less digits than its factorization.

639476638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174658 (or 174650 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 68.

The spelling of 639476638880 in words is "six hundred thirty-nine billion, four hundred seventy-six million, six hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 433 530 848 866 1060 1696 1732 2120 2165 3464 4240 4330 6928 8480 8660 13856 17320 22949 34640 45898 69280 91796 114745 174157 183592 229490 348314 367184 458980 696628 734368 870785 917960 1393256 1741570 1835920 2786512 3483140 3671840 5573024 6966280 9230321 13932560 18460642 27865120 36921284 46151605 73842568 75409981 92303210 147685136 150819962 184606420 295370272 301639924 369212840 377049905 603279848 738425680 754099810 1206559696 1476851360 1508199620 2413119392 3016399240 3996728993 6032798480 7993457986 12065596960 15986915972 19983644965 31973831944 39967289930 63947663888 79934579860 127895327776 159869159720 319738319440 639476638880