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63640552416 = 2537298313763
BaseRepresentation
bin111011010001010001…
…011100001111100000
320002021012221000210220
4323101101130033200
52020313440134131
645122553523040
74412033525100
oct732121341740
9202235830726
1063640552416
1124a98483a71
1210401113480
136002a6840c
14311a19b200
1519c7174e96
hexed145c3e0

63640552416 has 144 divisors (see below), whose sum is σ = 194542798464. Its totient is φ = 18163197696.

The previous prime is 63640552387. The next prime is 63640552433. The reversal of 63640552416 is 61425504636.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4617151 + ... + 4630913.

It is an arithmetic number, because the mean of its divisors is an integer number (1350991656).

Almost surely, 263640552416 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 63640552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97271399232).

63640552416 is an abundant number, since it is smaller than the sum of its proper divisors (130902246048).

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

63640552416 is a wasteful number, since it uses less digits than its factorization.

63640552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 63640552416 in words is "sixty-three billion, six hundred forty million, five hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 983 1176 1568 1966 2352 2949 3932 4704 5898 6881 7864 11796 13762 13763 15728 20643 23592 27524 27526 31456 41286 41289 47184 48167 55048 55052 82572 82578 94368 96334 96341 110096 110104 144501 165144 165156 192668 192682 220192 220208 289002 289023 330288 330312 385336 385364 440416 578004 578046 660576 660624 674387 770672 770728 1156008 1156092 1321248 1348774 1541344 1541456 2023161 2312016 2312184 2697548 3082912 4046322 4624032 4624368 5395096 8092644 9248736 10790192 13529029 16185288 21580384 27058058 32370576 40587087 54116116 64741152 81174174 94703203 108232232 162348348 189406406 216464464 284109609 324696696 378812812 432928928 568219218 649393392 662922421 757625624 1136438436 1298786784 1325844842 1515251248 1988767263 2272876872 2651689684 3030502496 3977534526 4545753744 5303379368 7955069052 9091507488 10606758736 15910138104 21213517472 31820276208 63640552416