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4690417968 = 243323472063
BaseRepresentation
bin1000101111001001…
…00001100100110000
3110002212211220212000
410113210201210300
534101221333333
62053231534000
7224142615645
oct42744414460
913085756760
104690417968
111a97689495
12aaa98a300
13599987562
14326d15dcc
151c6ba3713
hex117921930

4690417968 has 80 divisors (see below), whose sum is σ = 14048624640. Its totient is φ = 1495492416.

The previous prime is 4690417951. The next prime is 4690417987. The reversal of 4690417968 is 8697140964.

4690417968 is a `hidden beast` number, since 469 + 0 + 4 + 179 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226096 + ... + 245967.

It is an arithmetic number, because the mean of its divisors is an integer number (175607808).

Almost surely, 24690417968 is an apocalyptic number.

4690417968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4690417968 is an abundant number, since it is smaller than the sum of its proper divisors (9358206672).

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

4690417968 is a wasteful number, since it uses less digits than its factorization.

4690417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472103 (or 472091 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4690417968 is about 68486.6261981126. The cubic root of 4690417968 is about 1673.9295714258.

The spelling of 4690417968 in words is "four billion, six hundred ninety million, four hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 472063 944126 1416189 1888252 2832378 3776504 4248567 5664756 7553008 8497134 10857449 11329512 12745701 16994268 21714898 22659024 25491402 32572347 33988536 43429796 50982804 65144694 67977072 86859592 97717041 101965608 130289388 173719184 195434082 203931216 260578776 293151123 390868164 521157552 586302246 781736328 1172604492 1563472656 2345208984 4690417968