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4640125008 = 243374755589
BaseRepresentation
bin1000101001001001…
…01011000001010000
3102222101012202212210
410110210223001100
534000333000013
62044233552120
7222662261151
oct42444530120
912871182783
104640125008
111a71258662
12a95b75640
1358c4289cc
14320383928
151c256bcc3
hex11492b050

4640125008 has 80 divisors (see below), whose sum is σ = 12573123840. Its totient is φ = 1472859648.

The previous prime is 4640124997. The next prime is 4640125051. The reversal of 4640125008 is 8005210464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55678 + ... + 111266.

It is an arithmetic number, because the mean of its divisors is an integer number (157164048).

Almost surely, 24640125008 is an apocalyptic number.

4640125008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640125008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286561920).

4640125008 is an abundant number, since it is smaller than the sum of its proper divisors (7932998832).

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

4640125008 is a wasteful number, since it uses less digits than its factorization.

4640125008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55684 (or 55678 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4640125008 is about 68118.4630478404. The cubic root of 4640125008 is about 1667.9251615463.

The spelling of 4640125008 in words is "four billion, six hundred forty million, one hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1739 1776 2256 3478 5217 6956 10434 13912 20868 27824 41736 55589 83472 111178 166767 222356 333534 444712 667068 889424 1334136 2056793 2612683 2668272 4113586 5225366 6170379 7838049 8227172 10450732 12340758 15676098 16454344 20901464 24681516 31352196 32908688 41802928 49363032 62704392 96669271 98726064 125408784 193338542 290007813 386677084 580015626 773354168 1160031252 1546708336 2320062504 4640125008