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13387242417984 = 263229801439321
BaseRepresentation
bin1100001011001111010111…
…0101000010111101000000
31202101210210221102120202200
43002303311311002331000
53223314033024333414
644250003025313200
72551124230010631
oct302636565027500
952353727376680
1013387242417984
1142a1552381986
121602654495800
13761547211356
14343d35b23888
15183376066109
hexc2cf5d42f40

13387242417984 has 84 divisors (see below), whose sum is σ = 39695289618660. Its totient is φ = 4308537784320.

The previous prime is 13387242417973. The next prime is 13387242418027. The reversal of 13387242417984 is 48971424278331.

It is a happy number.

13387242417984 is a `hidden beast` number, since 1 + 3 + 38 + 7 + 2 + 424 + 179 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7520538369600 + 5866704048384 = 2742360^2 + 2422128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400702957 + ... + 400736364.

Almost surely, 213387242417984 is an apocalyptic number.

It is an amenable number.

13387242417984 is an abundant number, since it is smaller than the sum of its proper divisors (26308047200676).

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

13387242417984 is a wasteful number, since it uses less digits than its factorization.

13387242417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801439368 (or 801439355 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 13387242417984 in words is "thirteen trillion, three hundred eighty-seven billion, two hundred forty-two million, four hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 801439321 1602878642 2404317963 3205757284 4808635926 6411514568 7212953889 9617271852 12823029136 14425907778 19234543704 23241740309 25646058272 28851815556 38469087408 46483480618 51292116544 57703631112 69725220927 76938174816 92966961236 115407262224 139450441854 153876349632 185933922472 209175662781 230814524448 278900883708 371867844944 418351325562 461629048896 557801767416 743735689888 836702651124 1115603534832 1487471379776 1673405302248 2231207069664 3346810604496 4462414139328 6693621208992 13387242417984