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10457980848 = 2433717203431
BaseRepresentation
bin10011011110101100…
…00001111110110000
3222222211112110202000
421233112001332300
5132404220341343
64445422454000
7520105241040
oct115726017660
928884473660
1010457980848
114487291887
12203a434300
13ca884c963
14712cdb720
154131c5ed3
hex26f581fb0

10457980848 has 160 divisors (see below), whose sum is σ = 36324817920. Its totient is φ = 2812216320.

The previous prime is 10457980811. The next prime is 10457980879. The reversal of 10457980848 is 84808975401.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10457980794 and 10457980803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50308 + ... + 153123.

It is an arithmetic number, because the mean of its divisors is an integer number (227030112).

Almost surely, 210457980848 is an apocalyptic number.

10457980848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10457980848 is an abundant number, since it is smaller than the sum of its proper divisors (25866837072).

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

10457980848 is a wasteful number, since it uses less digits than its factorization.

10457980848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203472 (or 203460 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10457980848 in words is "ten billion, four hundred fifty-seven million, nine hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 203431 406862 610293 813724 1220586 1424017 1627448 1830879 2441172 2848034 3254896 3458327 3661758 4272051 4882344 5492637 5696068 6916654 7323516 8544102 9764688 10374981 10985274 11392136 12816153 13833308 14647032 17088204 20749962 21970548 22784272 24208289 25632306 27666616 29294064 31124943 34176408 38448459 41499924 43941096 48416578 51264612 55333232 62249886 68352816 72624867 76896918 82999848 87882192 93374829 96833156 102529224 124499772 145249734 153793836 165999696 186749658 193666312 205058448 217874601 248999544 290499468 307587672 373499316 387332624 435749202 497999088 580998936 615175344 653623803 746998632 871498404 1161997872 1307247606 1493997264 1742996808 2614495212 3485993616 5228990424 10457980848