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10406024712 = 2332144528121
BaseRepresentation
bin10011011000011111…
…10101011000001000
3222212012202211022200
421230033311120020
5132302420242322
64440325120200
7515604515316
oct115417653010
928765684280
1010406024712
11445aa25426
122024b59060
13c9ab5b095
1470a0550b6
1540d8618ac
hex26c3f5608

10406024712 has 24 divisors (see below), whose sum is σ = 28182983790. Its totient is φ = 3468674880.

The previous prime is 10406024701. The next prime is 10406024723. The reversal of 10406024712 is 21742060401.

10406024712 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 602 + 47 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10406024701) and next prime (10406024723).

It can be written as a sum of positive squares in only one way, i.e., 10173949956 + 232074756 = 100866^2 + 15234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72263989 + ... + 72264132.

Almost surely, 210406024712 is an apocalyptic number.

10406024712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10406024712 is an abundant number, since it is smaller than the sum of its proper divisors (17776959078).

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

10406024712 is a wasteful number, since it uses less digits than its factorization.

10406024712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144528133 (or 144528126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10406024712 in words is "ten billion, four hundred six million, twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 144528121 289056242 433584363 578112484 867168726 1156224968 1300753089 1734337452 2601506178 3468674904 5203012356 10406024712