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10490660784 = 2433123119727
BaseRepresentation
bin10011100010100101…
…01100011110110000
31000002010000210012000
421301102230132300
5132441102121114
64452551134000
7520653100602
oct116122543660
930063023160
1010490660784
1144a378279a
122049374300
13cb25526b6
147173a7172
15415ecde09
hex2714ac7b0

10490660784 has 80 divisors (see below), whose sum is σ = 30138071040. Its totient is φ = 3493869120.

The previous prime is 10490660773. The next prime is 10490660819. The reversal of 10490660784 is 48706609401.

It is a super-2 number, since 2×104906607842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521929 + ... + 541655.

It is an arithmetic number, because the mean of its divisors is an integer number (376725888).

Almost surely, 210490660784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490660784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069035520).

10490660784 is an abundant number, since it is smaller than the sum of its proper divisors (19647410256).

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

10490660784 is a wasteful number, since it uses less digits than its factorization.

10490660784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20975 (or 20963 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10490660784 in words is "ten billion, four hundred ninety million, six hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1231 2462 3693 4924 7386 9848 11079 14772 19696 19727 22158 29544 33237 39454 44316 59088 59181 66474 78908 88632 118362 132948 157816 177264 177543 236724 265896 315632 355086 473448 531792 532629 710172 946896 1065258 1420344 2130516 2840688 4261032 8522064 24283937 48567874 72851811 97135748 145703622 194271496 218555433 291407244 388542992 437110866 582814488 655666299 874221732 1165628976 1311332598 1748443464 2622665196 3496886928 5245330392 10490660784