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4991632360 = 2351121379333
BaseRepresentation
bin1001010011000011…
…00100001111101000
3110212212122012022121
410221201210033220
540210324213420
62143152001024
7234461114011
oct45141441750
913785565277
104991632360
112131712300
12b73830174
136171bc020
14354d24008
151e33522aa
hex1298643e8

4991632360 has 96 divisors (see below), whose sum is σ = 13294791720. Its totient is φ = 1675491840.

The previous prime is 4991632357. The next prime is 4991632397. The reversal of 4991632360 is 632361994.

It can be written as a sum of positive squares in 4 ways, for example, as 3022580484 + 1969051876 = 54978^2 + 44374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23254 + ... + 102586.

Almost surely, 24991632360 is an apocalyptic number.

4991632360 is a gapful number since it is divisible by the number (40) 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 4991632360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647395860).

4991632360 is an abundant number, since it is smaller than the sum of its proper divisors (8303159360).

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

4991632360 is a wasteful number, since it uses less digits than its factorization.

4991632360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79379 (or 79364 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The square root of 4991632360 is about 70651.4851931649. The cubic root of 4991632360 is about 1709.0215165146.

The spelling of 4991632360 in words is "four billion, nine hundred ninety-one million, six hundred thirty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 31460 62920 79333 158666 317332 396665 634664 793330 872663 1031329 1586660 1745326 2062658 3173320 3490652 4125316 4363315 5156645 6981304 8250632 8726630 9599293 10313290 11344619 17453260 19198586 20626580 22689238 34906520 38397172 41253160 45378476 47996465 56723095 76794344 90756952 95992930 113446190 124790809 191985860 226892380 249581618 383971720 453784760 499163236 623954045 998326472 1247908090 2495816180 4991632360