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13781974509522 = 232719212172
BaseRepresentation
bin1100100010001101110110…
…1100011110011111010010
31210210112200111111110212200
43020203131230132133102
53301300440433301042
645151203544104030
72621500114304142
oct310433554363722
953715614443780
1013781974509522
1144339a235171a
121667057465016
1378c83334ac9b
143590a0406922
1518d77a237c4c
hexc88ddb1e7d2

13781974509522 has 54 divisors (see below), whose sum is σ = 29927124632613. Its totient is φ = 4583832486144.

The previous prime is 13781974509517. The next prime is 13781974509577. The reversal of 13781974509522 is 22590547918731.

It is a happy number.

13781974509522 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 1 + 9 + 74 + 509 + 52 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13398740464041 + 383234045481 = 3660429^2 + 619059^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2625069.

It is a super-2 number, since 2×137819745095222 (a number of 27 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 13781974509522.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11324547058 + ... + 11324548274.

Almost surely, 213781974509522 is an apocalyptic number.

13781974509522 is an abundant number, since it is smaller than the sum of its proper divisors (16145150123091).

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

13781974509522 is an frugal number, since it uses more digits than its factorization.

13781974509522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 13781974509522 in words is "thirteen trillion, seven hundred eighty-one billion, nine hundred seventy-four million, five hundred nine thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 719 1217 1438 2157 2434 3651 4314 6471 7302 10953 12942 21906 516961 875023 1033922 1481089 1550883 1750046 2625069 2962178 3101766 4443267 4652649 5250138 7875207 8886534 9305298 13329801 15750414 26659602 629141537 1064902991 1258283074 1887424611 2129805982 3194708973 3774849222 5662273833 6389417946 9584126919 11324547666 19168253838 765665250529 1531330501058 2296995751587 4593991503174 6890987254761 13781974509522