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64348468900 = 2252253672
BaseRepresentation
bin111011111011011101…
…111011011010100100
320011002112222220122221
4323323131323122210
52023241202001100
645321123002124
74435420650412
oct737335733244
9204075886587
1064348468900
1125321040111
121057a209344
1360b6619c01
1431861d62b2
151a193ad01a
hexefb77b6a4

64348468900 has 27 divisors (see below), whose sum is σ = 139641682369. Its totient is φ = 25738372880.

The previous prime is 64348468889. The next prime is 64348468927. The reversal of 64348468900 is 986484346.

It is a happy number.

The square root of 64348468900 is 253670.

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., 23165448804 + 41183020096 = 152202^2 + 202936^2 .

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, 2524017 + ... + 2549383.

Almost surely, 264348468900 is an apocalyptic number.

64348468900 is the 253670-th square number.

It is an amenable number.

64348468900 is an abundant number, since it is smaller than the sum of its proper divisors (75293213469).

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

64348468900 is an frugal number, since it uses more digits than its factorization.

64348468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50748 (or 25374 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 64348468900 in words is "sixty-four billion, three hundred forty-eight million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25367 50734 101468 126835 253670 507340 634175 1268350 2536700 643484689 1286969378 2573938756 3217423445 6434846890 12869693780 16087117225 32174234450 64348468900