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639764343467936 = 251917356511076329
BaseRepresentation
bin1001000101110111001011111…
…0011011101010111110100000
310002220012212121002110222220122
42101131302332123222332200
51132323344333411433221
610144355403151255412
7251520306556003001
oct22135627633527640
93086185532428818
10639764343467936
111759375972a15a5
125b90674821a568
13215c969883132b
14b3daa8bc991a8
154de6b1344beab
hex245dcbe6eafa0

639764343467936 has 96 divisors (see below), whose sum is σ = 1333728378158400. Its totient is φ = 301240958515200.

The previous prime is 639764343467923. The next prime is 639764343467957.

639764343467936 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593856620 + ... + 594932948.

It is an arithmetic number, because the mean of its divisors is an integer number (13893003939150).

Almost surely, 2639764343467936 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 639764343467936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666864189079200).

639764343467936 is an abundant number, since it is smaller than the sum of its proper divisors (693964034690464).

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

639764343467936 is a wasteful number, since it uses less digits than its factorization.

639764343467936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082182 (or 1082174 counting only the distinct ones).

The product of its digits is 26665583616, while the sum is 80.

The spelling of 639764343467936 in words is "six hundred thirty-nine trillion, seven hundred sixty-four billion, three hundred forty-three million, four hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 173 304 346 608 692 1384 2768 3287 5536 5651 6574 11302 13148 22604 26296 45208 52592 90416 105184 107369 180832 214738 429476 858952 977623 1076329 1717904 1955246 2152658 3435808 3910492 4305316 7820984 8610632 15641968 17221264 18574837 20450251 31283936 34442528 37149674 40900502 74299348 81801004 148598696 163602008 186204917 297197392 327204016 372409834 594394784 654408032 744819668 1489639336 2979278672 3537893423 5958557344 6082335179 7075786846 12164670358 14151573692 24329340716 28303147384 48658681432 56606294768 97317362864 113212589536 115564368401 194634725728 231128736802 462257473604 924514947208 1052243985967 1849029894416 2104487971934 3698059788832 4208975943868 8417951887736 16835903775472 19992635733373 33671807550944 39985271466746 79970542933492 159941085866984 319882171733968 639764343467936