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4640088816 = 24321123127363
BaseRepresentation
bin1000101001001001…
…00010001011110000
3102222101010221020100
410110210202023300
534000330320231
62044233112400
7222662050506
oct42444421360
912871127210
104640088816
111a71233450
12a95b58700
1358c4153ac
14320374676
151c25611e6
hex1149222f0

4640088816 has 120 divisors (see below), whose sum is σ = 14782375296. Its totient is φ = 1344942720.

The previous prime is 4640088811. The next prime is 4640088833. The reversal of 4640088816 is 6188800464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640088811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27250 + ... + 100113.

Almost surely, 24640088816 is an apocalyptic number.

4640088816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4640088816 is an abundant number, since it is smaller than the sum of its proper divisors (10142286480).

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

4640088816 is a wasteful number, since it uses less digits than its factorization.

4640088816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127411 (or 127402 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4640088816 is about 68118.1973924736. The cubic root of 4640088816 is about 1667.9208250464.

The spelling of 4640088816 in words is "four billion, six hundred forty million, eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 127363 254726 382089 509452 764178 1018904 1146267 1400993 1528356 2037808 2292534 2801986 2929349 3056712 4202979 4585068 5603972 5858698 6113424 8405958 8788047 9170136 11207944 11717396 12608937 16811916 17576094 18340272 22415888 23434792 25217874 26364141 32222839 33623832 35152188 46869584 50435748 52728282 64445678 67247664 70304376 96668517 100871496 105456564 128891356 140608752 193337034 201742992 210913128 257782712 290005551 386674068 421826256 515565424 580011102 773348136 1160022204 1546696272 2320044408 4640088816