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10983071540 = 225778450511
BaseRepresentation
bin10100011101010010…
…00101111100110100
31001100102120211202102
422032221011330310
5134443131242130
65013501201232
7536112365510
oct121651057464
931312524672
1010983071540
114726726231
122166260218
13106057b2cc
14762945140
15444348645
hex28ea45f34

10983071540 has 24 divisors (see below), whose sum is σ = 26359372032. Its totient is φ = 3765624480.

The previous prime is 10983071537. The next prime is 10983071563. The reversal of 10983071540 is 4517038901.

10983071540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10983071494 and 10983071503.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39225116 + ... + 39225395.

It is an arithmetic number, because the mean of its divisors is an integer number (1098307168).

Almost surely, 210983071540 is an apocalyptic number.

10983071540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10983071540 is an abundant number, since it is smaller than the sum of its proper divisors (15376300492).

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

10983071540 is a wasteful number, since it uses less digits than its factorization.

10983071540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78450527 (or 78450525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 10983071540 in words is "ten billion, nine hundred eighty-three million, seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 78450511 156901022 313802044 392252555 549153577 784505110 1098307154 1569010220 2196614308 2745767885 5491535770 10983071540