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10857998460 = 22352933718517
BaseRepresentation
bin10100001110010111…
…11110100001111100
31001000201020110202010
422013023332201330
5134214121422320
64553232331220
7533033315121
oct120713764174
931021213663
1010857998460
114672069a51
1221303a3b10
13104069927a
147500a8748
1543838eae0
hex2872fe87c

10857998460 has 96 divisors (see below), whose sum is σ = 31545783360. Its totient is φ = 2787176448.

The previous prime is 10857998453. The next prime is 10857998461. The reversal of 10857998460 is 6489975801.

It is a super-2 number, since 2×108579984602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10857998460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857998461) 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 31 ways as a sum of consecutive naturals, for example, 577122 + ... + 595638.

It is an arithmetic number, because the mean of its divisors is an integer number (328601910).

Almost surely, 210857998460 is an apocalyptic number.

10857998460 is a gapful number since it is divisible by the number (10) 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 10857998460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772891680).

10857998460 is an abundant number, since it is smaller than the sum of its proper divisors (20687784900).

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

10857998460 is a wasteful number, since it uses less digits than its factorization.

10857998460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18895 (or 18893 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 10857998460 in words is "ten billion, eight hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 337 348 435 580 674 870 1011 1348 1685 1740 2022 3370 4044 5055 6740 9773 10110 18517 19546 20220 29319 37034 39092 48865 55551 58638 74068 92585 97730 111102 117276 146595 185170 195460 222204 277755 293190 370340 536993 555510 586380 1073986 1111020 1610979 2147972 2684965 3221958 5369930 6240229 6443916 8054895 10739860 12480458 16109790 18720687 24960916 31201145 32219580 37441374 62402290 74882748 93603435 124804580 180966641 187206870 361933282 374413740 542899923 723866564 904833205 1085799846 1809666410 2171599692 2714499615 3619332820 5428999230 10857998460