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1338955992 = 2332112198089
BaseRepresentation
bin100111111001110…
…1101100011011000
310110022111000022200
41033303231203120
510220233042432
6340510250200
745115636533
oct11763554330
93408430280
101338955992
11627895500
123144b6960
1318452756a
14c9b81a1a
157c837a7c
hex4fced8d8

1338955992 has 144 divisors (see below), whose sum is σ = 4196283000. Its totient is φ = 384341760.

The previous prime is 1338955991. The next prime is 1338955997. The reversal of 1338955992 is 2995598331.

1338955992 is a `hidden beast` number, since 1 + 3 + 3 + 89 + 559 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338955991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161484 + ... + 169572.

Almost surely, 21338955992 is an apocalyptic number.

1338955992 is a gapful number since it is divisible by the number (12) 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 1338955992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098141500).

1338955992 is an abundant number, since it is smaller than the sum of its proper divisors (2857327008).

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

1338955992 is a wasteful number, since it uses less digits than its factorization.

1338955992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142 (or 8124 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 1338955992 is about 36591.7475942322. The cubic root of 1338955992 is about 1102.1873807823.

The spelling of 1338955992 in words is "one billion, three hundred thirty-eight million, nine hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 836 968 1089 1254 1368 1452 1672 1881 2178 2299 2508 2904 3762 4356 4598 5016 6897 7524 8089 8712 9196 13794 15048 16178 18392 20691 24267 27588 32356 41382 48534 55176 64712 72801 82764 88979 97068 145602 153691 165528 177958 194136 266937 291204 307382 355916 461073 533874 582408 614764 711832 800811 922146 978769 1067748 1229528 1383219 1601622 1690601 1844292 1957538 2135496 2766438 2936307 3203244 3381202 3688584 3915076 5071803 5532876 5872614 6406488 6762404 7830152 8808921 10143606 11065752 11745228 13524808 15215409 17617842 18596611 20287212 23490456 30430818 35235684 37193222 40574424 55789833 60861636 70471368 74386444 111579666 121723272 148772888 167369499 223159332 334738998 446318664 669477996 1338955992