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4964683332 = 22372173111597
BaseRepresentation
bin1001001111110101…
…10000111001000100
3110210222221001012110
410213322300321010
540131424331312
62140350221020
7234013053300
oct44772607104
913728831173
104964683332
112118486084
12b667b4770
1361174495b
1435150ad00
151e0ccc43c
hex127eb0e44

4964683332 has 144 divisors (see below), whose sum is σ = 14323091328. Its totient is φ = 1329914880.

The previous prime is 4964683313. The next prime is 4964683357. The reversal of 4964683332 is 2333864694.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3107958 + ... + 3109554.

It is an arithmetic number, because the mean of its divisors is an integer number (99465912).

Almost surely, 24964683332 is an apocalyptic number.

4964683332 is a gapful number since it is divisible by the number (42) 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 4964683332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161545664).

4964683332 is an abundant number, since it is smaller than the sum of its proper divisors (9358407996).

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

4964683332 is a wasteful number, since it uses less digits than its factorization.

4964683332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1937 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 48.

The square root of 4964683332 is about 70460.5090245593. The cubic root of 4964683332 is about 1705.9403866880.

The spelling of 4964683332 in words is "four billion, nine hundred sixty-four million, six hundred eighty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 311 357 476 588 622 714 833 933 1244 1428 1597 1666 1866 2177 2499 3194 3332 3732 4354 4791 4998 5287 6388 6531 8708 9582 9996 10574 11179 13062 15239 15861 19164 21148 22358 26124 27149 30478 31722 33537 37009 44716 45717 54298 60956 63444 67074 74018 78253 81447 91434 108596 111027 134148 148036 156506 162894 182868 190043 222054 234759 259063 313012 325788 380086 444108 469518 496667 518126 570129 760172 777189 939036 993334 1036252 1140258 1330301 1490001 1554378 1986668 2280516 2660602 2980002 3108756 3476669 3990903 5321204 5960004 6953338 7981806 8443339 10430007 13906676 15963612 16886678 20860014 24336683 25330017 33773356 41720028 48673366 50660034 59103373 73010049 97346732 101320068 118206746 146020098 177310119 236413492 292040196 354620238 413723611 709240476 827447222 1241170833 1654894444 2482341666 4964683332