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627380374656 = 27371147120347
BaseRepresentation
bin10010010000100101100…
…10001100110010000000
32012222101012212012110110
421020102302030302000
540234333333442111
61200114202431320
763220033124130
oct11102262146200
92188335765413
10627380374656
11222085958302
12a1710502540
134721439a929
142251881cac0
15114bd9db5a6
hex9212c8cc80

627380374656 has 128 divisors (see below), whose sum is σ = 1904807208960. Its totient is φ = 179227100160.

The previous prime is 627380374651. The next prime is 627380374669. The reversal of 627380374656 is 656473083726.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6273803746562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 627380374596 and 627380374605.

It is not an unprimeable number, because it can be changed into a prime (627380374651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30823875 + ... + 30844221.

It is an arithmetic number, because the mean of its divisors is an integer number (14881306320).

Almost surely, 2627380374656 is an apocalyptic number.

It is an amenable number.

627380374656 is an abundant number, since it is smaller than the sum of its proper divisors (1277426834304).

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

627380374656 is a wasteful number, since it uses less digits than its factorization.

627380374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842 (or 31830 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 627380374656 in words is "six hundred twenty-seven billion, three hundred eighty million, three hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 11471 20347 22942 34413 40694 45884 61041 68826 80297 81388 91768 122082 137652 142429 160594 162776 183536 240891 244164 275304 284858 321188 325552 367072 427287 481782 488328 550608 569716 642376 651104 734144 854574 963564 976656 1101216 1139432 1284752 1302208 1468288 1709148 1927128 1953312 2202432 2278864 2569504 2604416 3418296 3854256 3906624 4404864 4557728 5139008 6836592 7708512 7813248 9115456 10278016 13673184 15417024 18230912 27346368 30834048 54692736 233400437 466800874 700201311 933601748 1400402622 1633803059 1867203496 2800805244 3267606118 3734406992 4901409177 5601610488 6535212236 7468813984 9802818354 11203220976 13070424472 14937627968 19605636708 22406441952 26140848944 29875255936 39211273416 44812883904 52281697888 78422546832 89625767808 104563395776 156845093664 209126791552 313690187328 627380374656