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10990005408 = 253238159741
BaseRepresentation
bin10100011110000111…
…00010110010100000
31001100220122010020100
422033003202302200
5140001420133113
65014305542400
7536225335044
oct121703426240
931326563210
1010990005408
11472a6317a8
122168644a00
131061b383a5
1476382c024
15444c67d73
hex28f0e2ca0

10990005408 has 36 divisors (see below), whose sum is σ = 31252828698. Its totient is φ = 3663335040.

The previous prime is 10990005407. The next prime is 10990005413. The reversal of 10990005408 is 80450009901.

10990005408 is a `hidden beast` number, since 109 + 9 + 0 + 0 + 0 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9727482384 + 1262523024 = 98628^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10990005407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19079583 + ... + 19080158.

Almost surely, 210990005408 is an apocalyptic number.

10990005408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10990005408 is an abundant number, since it is smaller than the sum of its proper divisors (20262823290).

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

10990005408 is a wasteful number, since it uses less digits than its factorization.

10990005408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38159757 (or 38159746 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10990005408 in words is "ten billion, nine hundred ninety million, five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38159741 76319482 114479223 152638964 228958446 305277928 343437669 457916892 610555856 686875338 915833784 1221111712 1373750676 1831667568 2747501352 3663335136 5495002704 10990005408