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11938984460 = 22513431106541
BaseRepresentation
bin10110001111001111…
…00111001000001100
31010211001022020202122
423013213213020030
5143422340000320
65252405512112
7601600456604
oct130747471014
933731266678
1011938984460
115077277807
122392412638
131183620560
14813897c04
1549d21bd25
hex2c79e720c

11938984460 has 48 divisors (see below), whose sum is σ = 27063372672. Its totient is φ = 4397971200.

The previous prime is 11938984429. The next prime is 11938984489. The reversal of 11938984460 is 6448983911.

11938984460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119389844602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58790 + ... + 165330.

It is an arithmetic number, because the mean of its divisors is an integer number (563820264).

Almost surely, 211938984460 is an apocalyptic number.

11938984460 is a gapful number since it is divisible by the number (10) 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 11938984460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531686336).

11938984460 is an abundant number, since it is smaller than the sum of its proper divisors (15124388212).

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

11938984460 is a wasteful number, since it uses less digits than its factorization.

11938984460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106994 (or 106992 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 11938984460 in words is "eleven billion, nine hundred thirty-eight million, nine hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 431 862 1724 2155 4310 5603 8620 11206 22412 28015 56030 106541 112060 213082 426164 532705 1065410 1385033 2130820 2770066 5540132 6925165 13850330 27700660 45919171 91838342 183676684 229595855 459191710 596949223 918383420 1193898446 2387796892 2984746115 5969492230 11938984460