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10745353224 = 23323738910369
BaseRepresentation
bin10100000000111100…
…10001010000001000
31000201212021111112100
422000132101100020
5134001302300344
64534130113400
7530164665264
oct120036212010
930655244470
1010745353224
114614520a11
1220ba71b860
131023248b98
1473d1450a4
1542d53d569
hex280791408

10745353224 has 96 divisors (see below), whose sum is σ = 29968263000. Its totient is φ = 3475685376.

The previous prime is 10745353193. The next prime is 10745353231. The reversal of 10745353224 is 42235354701.

10745353224 is a `hidden beast` number, since 1 + 0 + 74 + 53 + 532 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7532504100 + 3212849124 = 86790^2 + 56682^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031112 + ... + 1041480.

Almost surely, 210745353224 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 10745353224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984131500).

10745353224 is an abundant number, since it is smaller than the sum of its proper divisors (19222909776).

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

10745353224 is a wasteful number, since it uses less digits than its factorization.

10745353224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 10745353224 in words is "ten billion, seven hundred forty-five million, three hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 389 444 666 778 888 1167 1332 1556 2334 2664 3112 3501 4668 7002 9336 10369 14004 14393 20738 28008 28786 31107 41476 43179 57572 62214 82952 86358 93321 115144 124428 129537 172716 186642 248856 259074 345432 373284 383653 518148 746568 767306 1036296 1150959 1534612 2301918 3069224 3452877 4033541 4603836 6905754 8067082 9207672 12100623 13811508 16134164 24201246 27623016 32268328 36301869 48402492 72603738 96804984 145207476 149241017 290414952 298482034 447723051 596964068 895446102 1193928136 1343169153 1790892204 2686338306 3581784408 5372676612 10745353224