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5656133680 = 245414314001
BaseRepresentation
bin1010100010010000…
…11100000000110000
3112121012000100202121
411101020130000300
543040432234210
62333130324024
7260110225441
oct52110340060
915535010677
105656133680
112442815a4a
12111a289614
136c1a7c682
143b929b2c8
152318616da
hex15121c030

5656133680 has 80 divisors (see below), whose sum is σ = 13505885568. Its totient is φ = 2201600000.

The previous prime is 5656133677. The next prime is 5656133719. The reversal of 5656133680 is 863316565.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1411680 + ... + 1415680.

Almost surely, 25656133680 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 5656133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752942784).

5656133680 is an abundant number, since it is smaller than the sum of its proper divisors (7849751888).

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

5656133680 is a wasteful number, since it uses less digits than its factorization.

5656133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 5656133680 is about 75207.2714569542. The cubic root of 5656133680 is about 1781.7217780122.

The spelling of 5656133680 in words is "five billion, six hundred fifty-six million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 431 656 820 862 1640 1724 2155 3280 3448 4001 4310 6896 8002 8620 16004 17240 17671 20005 32008 34480 35342 40010 64016 70684 80020 88355 141368 160040 164041 176710 282736 320080 328082 353420 656164 706840 820205 1312328 1413680 1640410 1724431 2624656 3280820 3448862 6561640 6897724 8622155 13123280 13795448 17244310 27590896 34488620 68977240 70701671 137954480 141403342 282806684 353508355 565613368 707016710 1131226736 1414033420 2828066840 5656133680