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10745617536 = 27329327793
BaseRepresentation
bin10100000000111110…
…10001110010000000
31000201212202221002200
422000133101302000
5134001334230121
64534135513200
7530200146003
oct120037216200
930655687080
1010745617536
114614691555
1220ba828800
13102330c294
1473d1b353a
1542d591a26
hex2807d1c80

10745617536 has 48 divisors (see below), whose sum is σ = 30921637110. Its totient is φ = 3581872128.

The previous prime is 10745617529. The next prime is 10745617543. The reversal of 10745617536 is 63571654701.

10745617536 is a `hidden beast` number, since 10 + 7 + 4 + 561 + 75 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10745617529) and next prime (10745617543).

It can be written as a sum of positive squares in only one way, i.e., 10252777536 + 492840000 = 101256^2 + 22200^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107456175362 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10745617491 and 10745617500.

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, 4662745 + ... + 4665048.

Almost surely, 210745617536 is an apocalyptic number.

10745617536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10745617536 is an abundant number, since it is smaller than the sum of its proper divisors (20176019574).

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

10745617536 is an equidigital number, since it uses as much as digits as its factorization.

10745617536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327813 (or 9327798 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 10745617536 in words is "ten billion, seven hundred forty-five million, six hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9327793 18655586 27983379 37311172 55966758 74622344 83950137 111933516 149244688 167900274 223867032 298489376 335800548 447734064 596978752 671601096 895468128 1193957504 1343202192 1790936256 2686404384 3581872512 5372808768 10745617536