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10406981360 = 245671941601
BaseRepresentation
bin10011011000100110…
…11110111011110000
3222212021120102121002
421230103132323300
5132303141400420
64440401421132
7515615611346
oct115423367360
928767512532
1010406981360
114460519146
12202533a7a8
13c9b104649
1470a223996
1540d9a0075
hex26c4deef0

10406981360 has 40 divisors (see below), whose sum is σ = 24557382096. Its totient is φ = 4100659200.

The previous prime is 10406981357. The next prime is 10406981399. The reversal of 10406981360 is 6318960401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×104069813602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965441 + ... + 976160.

Almost surely, 210406981360 is an apocalyptic number.

10406981360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406981360 is an abundant number, since it is smaller than the sum of its proper divisors (14150400736).

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

10406981360 is a wasteful number, since it uses less digits than its factorization.

10406981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941681 (or 1941675 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 10406981360 in words is "ten billion, four hundred six million, nine hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 1941601 3883202 7766404 9708005 15532808 19416010 31065616 38832020 77664040 130087267 155328080 260174534 520349068 650436335 1040698136 1300872670 2081396272 2601745340 5203490680 10406981360