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9991938132 = 22321187728771
BaseRepresentation
bin10010100111001000…
…01110000001010100
3221210100121001022200
421103210032001110
5130430414010012
64331253524500
7502416033651
oct112344160124
927710531280
109991938132
114268209010
121b2a343730
13c33126b37
146ab064c28
153d73193dc
hex25390e054

9991938132 has 72 divisors (see below), whose sum is σ = 27585903072. Its totient is φ = 3024302400.

The previous prime is 9991938119. The next prime is 9991938179. The reversal of 9991938132 is 2318391999.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332907 + ... + 361677.

Almost surely, 29991938132 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 9991938132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792951536).

9991938132 is an abundant number, since it is smaller than the sum of its proper divisors (17593964940).

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

9991938132 is a wasteful number, since it uses less digits than its factorization.

9991938132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669 (or 29664 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 9991938132 is about 99959.6825325091. The cubic root of 9991938132 is about 2153.8555754430.

The spelling of 9991938132 in words is "nine billion, nine hundred ninety-one million, nine hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 877 1754 2631 3508 5262 7893 9647 10524 15786 19294 28771 28941 31572 38588 57542 57882 86313 86823 115084 115764 172626 173646 258939 316481 345252 347292 517878 632962 949443 1035756 1265924 1898886 2848329 3797772 5696658 11393316 25232167 50464334 75696501 100928668 151393002 227089503 277553837 302786004 454179006 555107674 832661511 908358012 1110215348 1665323022 2497984533 3330646044 4995969066 9991938132