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10453514472 = 23321779108107
BaseRepresentation
bin10011011110001001…
…11111100011101000
3222222112010120000200
421233010333203220
5132402044430342
64445143032200
7520022256402
oct115704774350
928875116020
1010453514472
114484811165
122038a3b660
13ca7947a2b
14712497b72
15412ae294c
hex26f13f8e8

10453514472 has 96 divisors (see below), whose sum is σ = 30356726400. Its totient is φ = 3237990912.

The previous prime is 10453514453. The next prime is 10453514473. The reversal of 10453514472 is 27441535401.

10453514472 is a `hidden beast` number, since 10 + 4 + 535 + 1 + 44 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10453514473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42643 + ... + 150749.

It is an arithmetic number, because the mean of its divisors is an integer number (316215900).

Almost surely, 210453514472 is an apocalyptic number.

10453514472 is a gapful number since it is divisible by the number (12) 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 10453514472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178363200).

10453514472 is an abundant number, since it is smaller than the sum of its proper divisors (19903211928).

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

10453514472 is a wasteful number, since it uses less digits than its factorization.

10453514472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108215 (or 108208 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10453514472 in words is "ten billion, four hundred fifty-three million, five hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1224 1343 1422 1896 2686 2844 4029 5372 5688 8058 10744 12087 16116 24174 32232 48348 96696 108107 216214 324321 432428 648642 864856 972963 1297284 1837819 1945926 2594568 3675638 3891852 5513457 7351276 7783704 8540453 11026914 14702552 16540371 17080906 22053828 25621359 33080742 34161812 44107656 51242718 66161484 68323624 76864077 102485436 132322968 145187701 153728154 204970872 290375402 307456308 435563103 580750804 614912616 871126206 1161501608 1306689309 1742252412 2613378618 3484504824 5226757236 10453514472