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10557994080 = 253522739677
BaseRepresentation
bin10011101010100111…
…00011010001100000
31000020210201200002210
421311103203101200
5133110321302310
64503354242120
7522431316564
oct116523432140
930223650083
1010557994080
114528792247
122067a26340
13cc349949a
147222d36a4
1541bd7e820
hex2754e3460

10557994080 has 96 divisors (see below), whose sum is σ = 33275751264. Its totient is φ = 2813935616.

The previous prime is 10557994063. The next prime is 10557994087. The reversal of 10557994080 is 8049975501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105579940802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557994087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086202 + ... + 1095878.

It is an arithmetic number, because the mean of its divisors is an integer number (346622409).

Almost surely, 210557994080 is an apocalyptic number.

10557994080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557994080 is an abundant number, since it is smaller than the sum of its proper divisors (22717757184).

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

10557994080 is a wasteful number, since it uses less digits than its factorization.

10557994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 10557994080 in words is "ten billion, five hundred fifty-seven million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2273 4546 6819 9092 9677 11365 13638 18184 19354 22730 27276 29031 34095 36368 38708 45460 48385 54552 58062 68190 72736 77416 90920 96770 109104 116124 136380 145155 154832 181840 193540 218208 232248 272760 290310 309664 363680 387080 464496 545520 580620 774160 928992 1091040 1161240 1548320 2322480 4644960 21995821 43991642 65987463 87983284 109979105 131974926 175966568 219958210 263949852 329937315 351933136 439916420 527899704 659874630 703866272 879832840 1055799408 1319749260 1759665680 2111598816 2639498520 3519331360 5278997040 10557994080