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641707965560 = 23571793318641
BaseRepresentation
bin10010101011010001100…
…01100111110001111000
32021100100201202020021102
421111220301213301320
541003204214344220
61210444020430532
764235056465154
oct11255061476170
92240321666242
10641707965560
11228168465422
12a444a848448
1348688817b7c
14230b760c064
1511a5b77d775
hex9568c67c78

641707965560 has 128 divisors (see below), whose sum is σ = 1487364249600. Its totient is φ = 249080832000.

The previous prime is 641707965557. The next prime is 641707965653. The reversal of 641707965560 is 65569707146.

641707965560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6417079655602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641707965496 and 641707965505.

It is a congruent number.

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, 74258840 + ... + 74267480.

It is an arithmetic number, because the mean of its divisors is an integer number (11620033200).

Almost surely, 2641707965560 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 641707965560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743682124800).

641707965560 is an abundant number, since it is smaller than the sum of its proper divisors (845656284040).

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

641707965560 is a wasteful number, since it uses less digits than its factorization.

641707965560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 641707965560 in words is "six hundred forty-one billion, seven hundred seven million, nine hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 79 142 158 284 316 331 355 395 568 632 662 710 790 1324 1420 1580 1655 2648 2840 3160 3310 5609 6620 8641 11218 13240 17282 22436 23501 26149 28045 34564 43205 44872 47002 52298 56090 69128 86410 94004 104596 112180 117505 130745 172820 188008 209192 224360 235010 261490 345640 470020 522980 613511 682639 940040 1045960 1227022 1365278 1856579 2454044 2730556 2860171 3067555 3413195 3713158 4908088 5461112 5720342 6135110 6826390 7426316 9282895 11440684 12270220 13652780 14300855 14852632 18565790 22881368 24540440 27305560 28601710 37131580 48467369 57203420 74263160 96934738 114406840 193869476 203072141 225953509 242336845 387738952 406144282 451907018 484673690 812288564 903814036 969347380 1015360705 1129767545 1624577128 1807628072 1938694760 2030721410 2259535090 4061442820 4519070180 8122885640 9038140360 16042699139 32085398278 64170796556 80213495695 128341593112 160426991390 320853982780 641707965560