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683107726464 = 2732718351767
BaseRepresentation
bin10011111000011000110…
…01001011010010000000
32102022012221200222202100
421330030121023102000
542143001034221324
61241452041150400
7100232021604432
oct11741431132200
92368187628670
10683107726464
11243782559559
12b048348b400
134c555894107
14250c3a68652
1512b810ae4c9
hex9f0c64b480

683107726464 has 96 divisors (see below), whose sum is σ = 1993399986240. Its totient is φ = 224495470080.

The previous prime is 683107726417. The next prime is 683107726489. The reversal of 683107726464 is 464627701386.

683107726464 is a `hidden beast` number, since 6 + 8 + 3 + 107 + 72 + 6 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 683107726464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4094092 + ... + 4257675.

It is an arithmetic number, because the mean of its divisors is an integer number (20764583190).

Almost surely, 2683107726464 is an apocalyptic number.

683107726464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

683107726464 is an abundant number, since it is smaller than the sum of its proper divisors (1310292259776).

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

683107726464 is a wasteful number, since it uses less digits than its factorization.

683107726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351858 (or 8351843 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 683107726464 in words is "six hundred eighty-three billion, one hundred seven million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1136 1152 1278 1704 2272 2556 3408 4544 5112 6816 9088 10224 13632 20448 27264 40896 81792 8351767 16703534 25055301 33407068 50110602 66814136 75165903 100221204 133628272 150331806 200442408 267256544 300663612 400884816 534513088 592975457 601327224 801769632 1069026176 1185950914 1202654448 1603539264 1778926371 2371901828 2405308896 3207078528 3557852742 4743803656 4810617792 5336779113 7115705484 9487607312 9621235584 10673558226 14231410968 18975214624 21347116452 28462821936 37950429248 42694232904 56925643872 75900858496 85388465808 113851287744 170776931616 227702575488 341553863232 683107726464