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4953692064 = 253532274289
BaseRepresentation
bin1001001110100001…
…10101011110100000
3110210020020122000110
410213100311132200
540121121121224
62135314451320
7233520454626
oct44720653640
913706218013
104953692064
112112259192
12b62b93b40
1360c396b49
1434dc89516
151ded5a929
hex1274357a0

4953692064 has 96 divisors (see below), whose sum is σ = 13310256960. Its totient is φ = 1612562432.

The previous prime is 4953692059. The next prime is 4953692069. The reversal of 4953692064 is 4602963594.

It is an interprime number because it is at equal distance from previous prime (4953692059) and next prime (4953692069).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4953692069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152832 + ... + 1157120.

It is an arithmetic number, because the mean of its divisors is an integer number (138648510).

Almost surely, 24953692064 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 4953692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655128480).

4953692064 is an abundant number, since it is smaller than the sum of its proper divisors (8356564896).

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

4953692064 is a wasteful number, since it uses less digits than its factorization.

4953692064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 4953692064 is about 70382.4698628856. The cubic root of 4953692064 is about 1704.6805344530.

The spelling of 4953692064 in words is "four billion, nine hundred fifty-three million, six hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 227 318 424 454 636 681 848 908 1272 1362 1696 1816 2544 2724 3632 4289 5088 5448 7264 8578 10896 12031 12867 17156 21792 24062 25734 34312 36093 48124 51468 68624 72186 96248 102936 137248 144372 192496 205872 227317 288744 384992 411744 454634 577488 681951 909268 973603 1154976 1363902 1818536 1947206 2727804 2920809 3637072 3894412 5455608 5841618 7274144 7788824 10911216 11683236 15577648 21822432 23366472 31155296 46732944 51600959 93465888 103201918 154802877 206403836 309605754 412807672 619211508 825615344 1238423016 1651230688 2476846032 4953692064