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13992043464 = 2333712377481
BaseRepresentation
bin11010000011111110…
…11010001111001000
31100010010111110021000
431001333122033020
5212123430342324
610232230015000
71003510256430
oct150177321710
940103443230
1013992043464
115a30164393
122865aa7460
13141ca84479
1496a4052c0
1556d5b09c9
hex341fda3c8

13992043464 has 128 divisors (see below), whose sum is σ = 44461036800. Its totient is φ = 3993960960.

The previous prime is 13992043459. The next prime is 13992043489. The reversal of 13992043464 is 46434029931.

13992043464 is a `hidden beast` number, since 13 + 99 + 204 + 346 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866604 + ... + 1874084.

It is an arithmetic number, because the mean of its divisors is an integer number (347351850).

Almost surely, 213992043464 is an apocalyptic number.

13992043464 is a gapful number since it is divisible by the number (14) 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 13992043464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230518400).

13992043464 is an abundant number, since it is smaller than the sum of its proper divisors (30468993336).

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

13992043464 is a wasteful number, since it uses less digits than its factorization.

13992043464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13992043464 in words is "thirteen billion, nine hundred ninety-two million, forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1237 1512 2474 3711 4948 7422 7481 8659 9896 11133 14844 14962 17318 22266 22443 25977 29688 29924 33399 34636 44532 44886 51954 52367 59848 66798 67329 69272 77931 89064 89772 103908 104734 133596 134658 155862 157101 179544 201987 207816 209468 233793 267192 269316 311724 314202 403974 418936 467586 471303 538632 623448 628404 807948 935172 942606 1256808 1413909 1615896 1870344 1885212 2827818 3770424 5655636 9253997 11311272 18507994 27761991 37015988 55523982 64777979 74031976 83285973 111047964 129555958 166571946 194333937 222095928 249857919 259111916 333143892 388667874 499715838 518223832 583001811 666287784 777335748 999431676 1166003622 1554671496 1749005433 1998863352 2332007244 3498010866 4664014488 6996021732 13992043464