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10780107048 = 23331710727437
BaseRepresentation
bin10100000101000101…
…10110000100101000
31000211021200011211000
422002202312010220
5134034201411143
64541411035000
7531066253344
oct120242660450
930737604730
1010780107048
1146320a8a87
12210a29ba60
13102a4c6889
147439d0624
15431605bd3
hex2828b6128

10780107048 has 128 divisors (see below), whose sum is σ = 32003683200. Its totient is φ = 3350264832.

The previous prime is 10780107043. The next prime is 10780107067. The reversal of 10780107048 is 84070108701.

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 (10780107043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379186 + ... + 406622.

It is an arithmetic number, because the mean of its divisors is an integer number (250028775).

Almost surely, 210780107048 is an apocalyptic number.

10780107048 is a gapful number since it is divisible by the number (18) 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 10780107048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001841600).

10780107048 is an abundant number, since it is smaller than the sum of its proper divisors (21223576152).

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

10780107048 is a wasteful number, since it uses less digits than its factorization.

10780107048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27576 (or 27566 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10780107048 in words is "ten billion, seven hundred eighty million, one hundred seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 107 108 136 153 204 214 216 306 321 408 428 459 612 642 856 918 963 1224 1284 1819 1836 1926 2568 2889 3638 3672 3852 5457 5778 7276 7704 10914 11556 14552 16371 21828 23112 27437 32742 43656 49113 54874 65484 82311 98226 109748 130968 164622 196452 219496 246933 329244 392904 466429 493866 658488 740799 932858 987732 1399287 1481598 1865716 1975464 2798574 2935759 2963196 3731432 4197861 5597148 5871518 5926392 8395722 8807277 11194296 11743036 12593583 16791444 17614554 23486072 25187166 26421831 33582888 35229108 49907903 50374332 52843662 70458216 79265493 99815806 100748664 105687324 149723709 158530986 199631612 211374648 299447418 317061972 399263224 449171127 598894836 634123944 898342254 1197789672 1347513381 1796684508 2695026762 3593369016 5390053524 10780107048