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676440527456 = 25193147763601
BaseRepresentation
bin10011101011111101111…
…11110101001001100000
32101200000022012012002202
421311332333311021200
542040322233334311
61234430312032332
766604553420441
oct11657677651140
92350008165082
10676440527456
11240971052231
12ab1226926a8
134ba32501b45
1424a503bd2c8
15128e0ad2e3b
hex9d7eff5260

676440527456 has 96 divisors (see below), whose sum is σ = 1477844766720. Its totient is φ = 303485184000.

The previous prime is 676440527381. The next prime is 676440527461. The reversal of 676440527456 is 654725044676.

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, 504056 + ... + 1267656.

It is an arithmetic number, because the mean of its divisors is an integer number (15394216320).

Almost surely, 2676440527456 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 676440527456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738922383360).

676440527456 is an abundant number, since it is smaller than the sum of its proper divisors (801404239264).

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

676440527456 is a wasteful number, since it uses less digits than its factorization.

676440527456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763708 (or 763700 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 676440527456 in words is "six hundred seventy-six billion, four hundred forty million, five hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 47 62 76 94 124 152 188 248 304 376 496 589 608 752 893 992 1178 1457 1504 1786 2356 2914 3572 4712 5828 7144 9424 11656 14288 18848 23312 27683 28576 46624 55366 110732 221464 442928 763601 885856 1527202 3054404 6108808 12217616 14508419 23671631 24435232 29016838 35889247 47343262 58033676 71778494 94686524 116067352 143556988 189373048 232134704 287113976 378746096 449760989 464269408 574227952 681895693 757492192 899521978 1112566657 1148455904 1363791386 1799043956 2225133314 2727582772 3598087912 4450266628 5455165544 7196175824 8900533256 10910331088 14392351648 17801066512 21138766483 21820662176 35602133024 42277532966 84555065932 169110131864 338220263728 676440527456