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4620318464 = 28193725673
BaseRepresentation
bin1000100110110010…
…00111011100000000
3102220222221111102002
410103121013130000
533430300142324
62042245243132
7222332026136
oct42331073400
912828844362
104620318464
111a6105a713
12a8b4034a8
135882b2668
1431b8a9756
151c09583ae
hex113647700

4620318464 has 72 divisors (see below), whose sum is σ = 9970754640. Its totient is φ = 2129338368.

The previous prime is 4620318457. The next prime is 4620318467. The reversal of 4620318464 is 4648130264.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620318467) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 167132 + ... + 192804.

Almost surely, 24620318464 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 4620318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985377320).

4620318464 is an abundant number, since it is smaller than the sum of its proper divisors (5350436176).

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

4620318464 is a wasteful number, since it uses less digits than its factorization.

4620318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25745 (or 25731 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 4620318464 is about 67972.9244920358. The cubic root of 4620318464 is about 1665.5485768840.

The spelling of 4620318464 in words is "four billion, six hundred twenty million, three hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 592 608 703 1184 1216 1406 2368 2432 2812 4736 4864 5624 9472 11248 22496 25673 44992 51346 89984 102692 179968 205384 410768 487787 821536 949901 975574 1643072 1899802 1951148 3286144 3799604 3902296 6572288 7599208 7804592 15198416 15609184 18048119 30396832 31218368 36096238 60793664 62436736 72192476 121587328 124873472 144384952 243174656 288769904 577539808 1155079616 2310159232 4620318464