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10755753456 = 2437233137387
BaseRepresentation
bin10100000010001011…
…11100010111110000
31000202120211212222010
422001011330113300
5134011433102311
64535141042520
7530352252540
oct120105742760
930676755863
1010755753456
11461a384848
1221020b6440
13102544a976
14740691320
1542e3e4da6
hex28117c5f0

10755753456 has 80 divisors (see below), whose sum is σ = 31891601664. Its totient is φ = 3059860992.

The previous prime is 10755753451. The next prime is 10755753457. The reversal of 10755753456 is 65435755701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755753451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9595 + ... + 146981.

Almost surely, 210755753456 is an apocalyptic number.

10755753456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755753456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945800832).

10755753456 is an abundant number, since it is smaller than the sum of its proper divisors (21135848208).

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

10755753456 is a wasteful number, since it uses less digits than its factorization.

10755753456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137638 (or 137632 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 10755753456 in words is "ten billion, seven hundred fifty-five million, seven hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 78288 137387 274774 412161 549548 824322 961709 1099096 1648644 1923418 2198192 2885127 3297288 3846836 5770254 6594576 7693672 11540508 15387344 23081016 32011171 46162032 64022342 96033513 128044684 192067026 224078197 256089368 384134052 448156394 512178736 672234591 768268104 896312788 1344469182 1536536208 1792625576 2688938364 3585251152 5377876728 10755753456