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13491748962 = 234103811997
BaseRepresentation
bin11001001000010101…
…11100000001100010
31021211021002212020000
430210022330001202
5210112341431322
610110435000430
7655223655036
oct144412740142
937737085200
1013491748962
1157a381675a
122746439116
131370228313
1491dbb41c6
1553e6da3ac
hex3242bc062

13491748962 has 80 divisors (see below), whose sum is σ = 30593314752. Its totient is φ = 4443634080.

The previous prime is 13491748937. The next prime is 13491748997. The reversal of 13491748962 is 26984719431.

13491748962 is a `hidden beast` number, since 1 + 3 + 491 + 74 + 89 + 6 + 2 = 666.

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 = 13491748899 and 13491748908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13531848 + ... + 13532844.

Almost surely, 213491748962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13491748962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296657376).

13491748962 is an abundant number, since it is smaller than the sum of its proper divisors (17101565790).

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

13491748962 is a wasteful number, since it uses less digits than its factorization.

13491748962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1916 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13491748962 in words is "thirteen billion, four hundred ninety-one million, seven hundred forty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 811 927 997 1622 1854 1994 2433 2781 2991 4866 5562 5982 7299 8343 8973 14598 16686 17946 21897 26919 43794 53838 65691 80757 83533 102691 131382 161514 167066 205382 250599 308073 501198 616146 751797 808567 924219 1503594 1617134 1848438 2255391 2425701 2772657 4510782 4851402 5545314 6766173 7277103 8317971 13532346 14554206 16635942 21831309 43662618 65493927 83282401 130987854 166564802 249847203 499694406 749541609 1499083218 2248624827 4497249654 6745874481 13491748962