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10453000264 = 2372591373299
BaseRepresentation
bin10011011110000110…
…00010000001001000
3222222111011102122221
421233003002001020
5132401432002024
64445124023424
7520015015300
oct115703020110
928874142587
1010453000264
11448449a8a3
122038831b74
13ca77c7975
147123a2600
15412a403e4
hex26f0c2048

10453000264 has 96 divisors (see below), whose sum is σ = 23362020000. Its totient is φ = 4370456832.

The previous prime is 10453000231. The next prime is 10453000297. The reversal of 10453000264 is 46200035401.

It is an interprime number because it is at equal distance from previous prime (10453000231) and next prime (10453000297).

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, 3166887 + ... + 3170185.

It is an arithmetic number, because the mean of its divisors is an integer number (243354375).

Almost surely, 210453000264 is an apocalyptic number.

10453000264 is a gapful number since it is divisible by the number (14) 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 10453000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681010000).

10453000264 is an abundant number, since it is smaller than the sum of its proper divisors (12909019736).

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

10453000264 is a wasteful number, since it uses less digits than its factorization.

10453000264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10453000264 its reverse (46200035401), we get a palindrome (56653035665).

The spelling of 10453000264 in words is "ten billion, four hundred fifty-three million, two hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 137 196 236 274 392 413 472 548 826 959 1096 1652 1918 2891 3299 3304 3836 5782 6598 6713 7672 8083 11564 13196 13426 16166 23093 23128 26392 26852 32332 46186 53704 56581 64664 92372 113162 161651 184744 194641 226324 323302 389282 396067 451963 452648 646604 778564 792134 903926 1293208 1362487 1557128 1584268 1807852 2724974 3163741 3168536 3615704 5449948 6327482 9537409 10899896 12654964 19074818 22146187 25309928 26665817 38149636 44292374 53331634 76299272 88584748 106663268 177169496 186660719 213326536 373321438 746642876 1306625033 1493285752 2613250066 5226500132 10453000264