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5061607424 = 21723273
BaseRepresentation
bin1001011011011001…
…00000000000000000
3111001202022022001122
410231230200000000
540331232414144
62154131451412
7236300644646
oct45554400000
914052268048
105061607424
112168166635
12b93156b68
1362884c3a3
1436033b196
151e95757ee
hex12db20000

5061607424 has 108 divisors (see below), whose sum is σ = 10727415846. Its totient is φ = 2387607552.

The previous prime is 5061607417. The next prime is 5061607433. The reversal of 5061607424 is 4247061605.

It can be written as a sum of positive squares in only one way, i.e., 4194893824 + 866713600 = 64768^2 + 29440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69337052 + ... + 69337124.

Almost surely, 25061607424 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 5061607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363707923).

5061607424 is an abundant number, since it is smaller than the sum of its proper divisors (5665808422).

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

5061607424 is an frugal number, since it uses more digits than its factorization.

5061607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5061607424 is about 71144.9746925248. The cubic root of 5061607424 is about 1716.9704448657.

The spelling of 5061607424 in words is "five billion, sixty-one million, six hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 529 584 736 1024 1058 1168 1472 1679 2048 2116 2336 2944 3358 4096 4232 4672 5888 6716 8192 8464 9344 11776 13432 16384 16928 18688 23552 26864 32768 33856 37376 38617 47104 53728 65536 67712 74752 77234 94208 107456 131072 135424 149504 154468 188416 214912 270848 299008 308936 376832 429824 541696 598016 617872 753664 859648 1083392 1196032 1235744 1507328 1719296 2166784 2392064 2471488 3014656 3438592 4333568 4784128 4942976 6877184 8667136 9568256 9885952 13754368 17334272 19771904 27508736 34668544 39543808 55017472 69337088 79087616 110034944 158175232 220069888 316350464 632700928 1265401856 2530803712 5061607424