Search a number
-
+
9993632700 = 22352197169097
BaseRepresentation
bin10010100111010101…
…01011101110111100
3221210110210010211110
421103222223232330
5130431332221300
64331354122020
7502436322252
oct112352535674
927713703743
109993632700
114269166187
121b2aa20310
13c3359b23c
146ab3865d2
153d7551550
hex253aabbbc

9993632700 has 72 divisors (see below), whose sum is σ = 29061858672. Its totient is φ = 2651425280.

The previous prime is 9993632689. The next prime is 9993632741. The reversal of 9993632700 is 72363999.

It is a self number, because there is not a number n which added to its sum of digits gives 9993632700.

It is a congruent number.

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, 25449 + ... + 143648.

It is an arithmetic number, because the mean of its divisors is an integer number (403636926).

Almost surely, 29993632700 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 9993632700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530929336).

9993632700 is an abundant number, since it is smaller than the sum of its proper divisors (19068225972).

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

9993632700 is a wasteful number, since it uses less digits than its factorization.

9993632700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169311 (or 169304 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The square root of 9993632700 is about 99968.1584305723. The cubic root of 9993632700 is about 2153.9773285462.

The spelling of 9993632700 in words is "nine billion, nine hundred ninety-three million, six hundred thirty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 169097 338194 507291 676388 845485 1014582 1690970 2029164 2536455 3381940 4227425 5072910 8454850 10145820 12682275 16909700 25364550 33312109 50729100 66624218 99936327 133248436 166560545 199872654 333121090 399745308 499681635 666242180 832802725 999363270 1665605450 1998726540 2498408175 3331210900 4996816350 9993632700