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6061066656 = 253713672423
BaseRepresentation
bin1011010010100010…
…01000100110100000
3120122101222002101020
411221101020212200
544403113113111
62441233405440
7303125134161
oct55121104640
916571862336
106061066656
1126303500a7
121211a09880
1375792a398
14416d87768
1525719b906
hex1694489a0

6061066656 has 96 divisors (see below), whose sum is σ = 16185028608. Its totient is φ = 1985652480.

The previous prime is 6061066619. The next prime is 6061066663. The reversal of 6061066656 is 6566601606.

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

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, 2500261 + ... + 2502683.

It is an arithmetic number, because the mean of its divisors is an integer number (168594048).

Almost surely, 26061066656 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 6061066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092514304).

6061066656 is an abundant number, since it is smaller than the sum of its proper divisors (10123961952).

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

6061066656 is a wasteful number, since it uses less digits than its factorization.

6061066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6061066656 is about 77852.8525874293. The cubic root of 6061066656 is about 1823.2645446017.

The spelling of 6061066656 in words is "six billion, sixty-one million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 367 426 568 734 852 1101 1136 1468 1704 2202 2272 2423 2936 3408 4404 4846 5872 6816 7269 8808 9692 11744 14538 17616 19384 26057 29076 35232 38768 52114 58152 77536 78171 104228 116304 156342 172033 208456 232608 312684 344066 416912 516099 625368 688132 833824 889241 1032198 1250736 1376264 1778482 2064396 2501472 2667723 2752528 3556964 4128792 5335446 5505056 7113928 8257584 10670892 14227856 16515168 21341784 28455712 42683568 63136111 85367136 126272222 189408333 252544444 378816666 505088888 757633332 1010177776 1515266664 2020355552 3030533328 6061066656