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10503755392 = 271353119101
BaseRepresentation
bin10011100100001001…
…01001011010000000
31000010000200001121111
421302010221122000
5133002430133032
64454135533104
7521202306364
oct116204513200
930100601544
1010503755392
114500106989
12205182a194
13cb51889a0
147190152a4
15417218c47
hex272129680

10503755392 has 64 divisors (see below), whose sum is σ = 22960483560. Its totient is φ = 4756377600.

The previous prime is 10503755329. The next prime is 10503755401. The reversal of 10503755392 is 29355730501.

It can be written as a sum of positive squares in 4 ways, for example, as 9073705536 + 1430049856 = 95256^2 + 37816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105037553922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28642 + ... + 147742.

Almost surely, 210503755392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480241780).

10503755392 is an abundant number, since it is smaller than the sum of its proper divisors (12456728168).

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

10503755392 is a wasteful number, since it uses less digits than its factorization.

10503755392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119181 (or 119169 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 40.

The spelling of 10503755392 in words is "ten billion, five hundred three million, seven hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 22048 44096 88192 119101 238202 476404 952808 1548313 1905616 3096626 3811232 6193252 6312353 7622464 12386504 12624706 15244928 24773008 25249412 49546016 50498824 82060589 99092032 100997648 164121178 198184064 201995296 328242356 403990592 656484712 807981184 1312969424 2625938848 5251877696 10503755392