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561106060064 = 251113719759063
BaseRepresentation
bin10000010101001001000…
…01110000001100100000
31222122022110001012011022
420022210201300030200
533143121122410224
61105434002105012
755352505550064
oct10124441601440
91878273035138
10561106060064
111a6a66819890
12908b534b168
1340bb1a9b074
141d22c951aa4
15e8e051765e
hex82a4870320

561106060064 has 96 divisors (see below), whose sum is σ = 1220081740416. Its totient is φ = 251897067520.

The previous prime is 561106060027. The next prime is 561106060147. The reversal of 561106060064 is 460060601165.

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, 9470597 + ... + 9529659.

It is an arithmetic number, because the mean of its divisors is an integer number (12709184796).

Almost surely, 2561106060064 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 561106060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610040870208).

561106060064 is an abundant number, since it is smaller than the sum of its proper divisors (658975680352).

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

561106060064 is a wasteful number, since it uses less digits than its factorization.

561106060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59418 (or 59410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 561106060064 in words is "five hundred sixty-one billion, one hundred six million, sixty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 197 274 352 394 548 788 1096 1507 1576 2167 2192 3014 3152 4334 4384 6028 6304 8668 12056 17336 24112 26989 34672 48224 53978 59063 69344 107956 118126 215912 236252 296879 431824 472504 593758 649693 863648 945008 1187516 1299386 1890016 2375032 2598772 4750064 5197544 8091631 9500128 10395088 11635411 16183262 20790176 23270822 32366524 46541644 64733048 89007941 93083288 127989521 129466096 178015882 186166576 255979042 258932192 356031764 372333152 511958084 712063528 1023916168 1424127056 1594051307 2047832336 2848254112 3188102614 4095664672 6376205228 12752410456 17534564377 25504820912 35069128754 51009641824 70138257508 140276515016 280553030032 561106060064