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5163608064 = 21132333607
BaseRepresentation
bin1001100111100011…
…00110100000000000
3111022212020110122010
410303301212200000
541033340424224
62212214012520
7241646641626
oct46361464000
914285213563
105163608064
11220a7a418a
121001347140
13643a136b4
1436dacd516
152034c2e29
hex133c66800

5163608064 has 96 divisors (see below), whose sum is σ = 13829175360. Its totient is φ = 1713340416.

The previous prime is 5163608053. The next prime is 5163608069. The reversal of 5163608064 is 4608063615.

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

It is not an unprimeable number, because it can be changed into a prime (5163608069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429749 + ... + 1433355.

It is an arithmetic number, because the mean of its divisors is an integer number (144053910).

Almost surely, 25163608064 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 5163608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914587680).

5163608064 is an abundant number, since it is smaller than the sum of its proper divisors (8665567296).

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

5163608064 is a wasteful number, since it uses less digits than its factorization.

5163608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 5163608064 is about 71858.2497977790. The cubic root of 5163608064 is about 1728.4271920499.

The spelling of 5163608064 in words is "five billion, one hundred sixty-three million, six hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 512 699 768 932 1024 1398 1536 1864 2048 2796 3072 3607 3728 5592 6144 7214 7456 10821 11184 14428 14912 21642 22368 28856 29824 43284 44736 57712 59648 86568 89472 115424 119296 173136 178944 230848 238592 346272 357888 461696 477184 692544 715776 840431 923392 1385088 1431552 1680862 1846784 2521293 2770176 3361724 3693568 5042586 5540352 6723448 7387136 10085172 11080704 13446896 20170344 22161408 26893792 40340688 53787584 80681376 107575168 161362752 215150336 322725504 430300672 645451008 860601344 1290902016 1721202688 2581804032 5163608064