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920340910336 = 2817235272
BaseRepresentation
bin11010110010010001001…
…01111101000100000000
310020222120010210101112211
431121020211331010000
5110034324233112321
61542444311431504
7123330622443061
oct15311045750400
93228503711484
10920340910336
113253504a58a1
1212a450385594
1368a31986823
143278aa90568
1518e181880e1
hexd64897d100

920340910336 has 81 divisors (see below), whose sum is σ = 1952060828389. Its totient is φ = 432978808832.

The previous prime is 920340910283. The next prime is 920340910351. The reversal of 920340910336 is 633019043029.

The square root of 920340910336 is 959344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 716528390400 + 203812519936 = 846480^2 + 451456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260939805 + ... + 260943331.

Almost surely, 2920340910336 is an apocalyptic number.

920340910336 is the 959344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920340910336

920340910336 is an abundant number, since it is smaller than the sum of its proper divisors (1031719918053).

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

920340910336 is an frugal number, since it uses more digits than its factorization.

920340910336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 920340910336 in words is "nine hundred twenty billion, three hundred forty million, nine hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 3527 4352 4624 7054 9248 14108 18496 28216 36992 56432 59959 73984 112864 119918 225728 239836 451456 479672 902912 959344 1019303 1918688 2038606 3837376 4077212 7674752 8154424 12439729 15349504 16308848 24879458 32617696 49758916 65235392 99517832 130470784 199035664 211475393 260941568 398071328 422950786 796142656 845901572 1592285312 1691803144 3184570624 3383606288 3595081681 6767212576 7190163362 13534425152 14380326724 27068850304 28760653448 54137700608 57521306896 115042613792 230085227584 460170455168 920340910336