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45026715456 = 26348685709
BaseRepresentation
bin101001111011110011…
…010010011101000000
311022012222201010210000
4221323303102131000
51214203314343311
632403542440000
73152542523622
oct517363223500
9138188633700
1045026715456
1118106452838
128887433000
1343276060c8
142272024c12
151287e69056
hexa7bcd2740

45026715456 has 70 divisors (see below), whose sum is σ = 133473305570. Its totient is φ = 15008903424.

The previous prime is 45026715449. The next prime is 45026715511. The reversal of 45026715456 is 65451762054.

45026715456 is a `hidden beast` number, since 45 + 0 + 2 + 67 + 1 + 545 + 6 = 666.

45026715456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45022049856 + 4665600 = 212184^2 + 2160^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4337671 + ... + 4348038.

Almost surely, 245026715456 is an apocalyptic number.

It is an amenable number.

45026715456 is an abundant number, since it is smaller than the sum of its proper divisors (88446590114).

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

45026715456 is an equidigital number, since it uses as much as digits as its factorization.

45026715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685733 (or 8685714 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 45026715456 in words is "forty-five billion, twenty-six million, seven hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8685709 17371418 26057127 34742836 52114254 69485672 78171381 104228508 138971344 156342762 208457016 234514143 277942688 312685524 416914032 469028286 555885376 625371048 703542429 833828064 938056572 1250742096 1407084858 1667656128 1876113144 2501484192 2814169716 3752226288 5002968384 5628339432 7504452576 11256678864 15008905152 22513357728 45026715456