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4663250944 = 212112972
BaseRepresentation
bin1000101011111001…
…11001000000000000
3110000222201200200221
410111330321000000
534022243012234
62050421352424
7223362656542
oct42574710000
913028650627
104663250944
111a83313500
12aa1868714
13594164bb1
14323483692
151c45d8eb4
hex115f39000

4663250944 has 117 divisors (see below), whose sum is σ = 10356954321. Its totient is φ = 2097807360.

The previous prime is 4663250941. The next prime is 4663250983. The reversal of 4663250944 is 4490523664.

It is a happy number.

The square root of 4663250944 is 68288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2093977600 + 2569273344 = 45760^2 + 50688^2 .

It is a super-2 number, since 2×46632509442 = 43491818733433782272, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4663250944.

It is not an unprimeable number, because it can be changed into a prime (4663250941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48074704 + ... + 48074800.

Almost surely, 24663250944 is an apocalyptic number.

4663250944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4663250944 is the 68288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4663250944

4663250944 is an abundant number, since it is smaller than the sum of its proper divisors (5693703377).

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

4663250944 is an frugal number, since it uses more digits than its factorization.

4663250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The cubic root of 4663250944 is about 1670.6914970116.

The spelling of 4663250944 in words is "four billion, six hundred sixty-three million, two hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 256 352 388 484 512 704 776 968 1024 1067 1408 1552 1936 2048 2134 2816 3104 3872 4096 4268 5632 6208 7744 8536 9409 11264 11737 12416 15488 17072 18818 22528 23474 24832 30976 34144 37636 45056 46948 49664 61952 68288 75272 93896 99328 103499 123904 136576 150544 187792 198656 206998 247808 273152 301088 375584 397312 413996 495616 546304 602176 751168 827992 1092608 1138489 1204352 1502336 1655984 2185216 2276978 2408704 3004672 3311968 4370432 4553956 4817408 6009344 6623936 9107912 9634816 12018688 13247872 18215824 19269632 24037376 26495744 36431648 38539264 48074752 52991488 72863296 105982976 145726592 211965952 291453184 423931904 582906368 1165812736 2331625472 4663250944