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10981971432 = 23321271201003
BaseRepresentation
bin10100011101001001…
…11001010111101000
31001100100111221200200
422032210321113220
5134442341041212
65013421432200
7536100134265
oct121644712750
931310457620
1010981971432
114726044753
122165a0b660
131060284663
1476273a26c
154441cc6dc
hex28e9395e8

10981971432 has 48 divisors (see below), whose sum is σ = 29977059840. Its totient is φ = 3631830048.

The previous prime is 10981971397. The next prime is 10981971467. The reversal of 10981971432 is 23417918901.

10981971432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10981971397) and next prime (10981971467).

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 11 ways as a sum of consecutive naturals, for example, 591358 + ... + 609645.

It is an arithmetic number, because the mean of its divisors is an integer number (624522080).

Almost surely, 210981971432 is an apocalyptic number.

10981971432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10981971432 is an abundant number, since it is smaller than the sum of its proper divisors (18995088408).

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

10981971432 is a wasteful number, since it uses less digits than its factorization.

10981971432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201142 (or 1201135 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10981971432 in words is "ten billion, nine hundred eighty-one million, nine hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 1201003 2402006 3603009 4804012 7206018 9608024 10809027 14412036 21618054 28824072 43236108 86472216 152527381 305054762 457582143 610109524 915164286 1220219048 1372746429 1830328572 2745492858 3660657144 5490985716 10981971432