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677629961952 = 253371147116631
BaseRepresentation
bin10011101110001011110…
…01001010011011100000
32101210002012022201111020
421313011321022123200
542100241232240302
61235144321445440
766646205432466
oct11670571123340
92353065281436
10677629961952
112414214a1a49
12ab3b4aa0880
134bb91a67238
1424b2435c836
1512960232ebc
hex9dc5e4a6e0

677629961952 has 96 divisors (see below), whose sum is σ = 1827122863104. Its totient is φ = 219739507200.

The previous prime is 677629961917. The next prime is 677629961969. The reversal of 677629961952 is 259169926776.

677629961952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 40736677 + ... + 40753307.

It is an arithmetic number, because the mean of its divisors is an integer number (19032529824).

Almost surely, 2677629961952 is an apocalyptic number.

It is an amenable number.

677629961952 is an abundant number, since it is smaller than the sum of its proper divisors (1149492901152).

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

677629961952 is a wasteful number, since it uses less digits than its factorization.

677629961952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28152 (or 28144 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 69.

The spelling of 677629961952 in words is "six hundred seventy-seven billion, six hundred twenty-nine million, nine hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 11471 16631 22942 33262 34413 45884 49893 66524 68826 91768 99786 133048 137652 183536 199572 266096 275304 367072 399144 424427 532192 550608 615347 798288 848854 1101216 1230694 1273281 1596576 1697708 1846041 2461388 2546562 3395416 3692082 4922776 5093124 6790832 7384164 9845552 10186248 13581664 14768328 19691104 20372496 29536656 40744992 59073312 190774201 381548402 572322603 763096804 1144645206 1526193608 2289290412 3052387216 4578580824 6104774432 7058645437 9157161648 14117290874 18314323296 21175936311 28234581748 42351872622 56469163496 84703745244 112938326992 169407490488 225876653984 338814980976 677629961952