Search a number
-
+
129356338963608 = 233217162764955921
BaseRepresentation
bin11101011010011000011110…
…101000100010010010011000
3121222000100022200012202222200
4131122120132220202102120
5113423333240233313413
61135041252020050200
736150454445156241
oct3532303650422230
9558010280182880
10129356338963608
1138242796039889
1212612160233960
135724334244703
1423d2c4742dcc8
15ee4cc6627573
hex75a61ea22498

129356338963608 has 96 divisors (see below), whose sum is σ = 371176325966160. Its totient is φ = 40557437153280.

The previous prime is 129356338963559. The next prime is 129356338963661. The reversal of 129356338963608 is 806369833653921.

It is a happy number.

129356338963608 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 5 + 6 + 3 + 3 + 8 + 9 + 6 + 3 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30486513 + ... + 34469408.

Almost surely, 2129356338963608 is an apocalyptic number.

129356338963608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129356338963608 is an abundant number, since it is smaller than the sum of its proper divisors (241819987002552).

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

129356338963608 is a wasteful number, since it uses less digits than its factorization.

129356338963608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64957577 (or 64957570 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 129356338963608 in words is "one hundred twenty-nine trillion, three hundred fifty-six billion, three hundred thirty-eight million, nine hundred sixty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1627 3254 4881 6508 9762 13016 14643 19524 27659 29286 39048 55318 58572 82977 110636 117144 165954 221272 248931 331908 497862 663816 995724 1991448 64955921 129911842 194867763 259823684 389735526 519647368 584603289 779471052 1104250657 1169206578 1558942104 2208501314 2338413156 3312751971 4417002628 4676826312 6625503942 8834005256 9938255913 13251007884 19876511826 26502015768 39753023652 79506047304 105683283467 211366566934 317049850401 422733133868 634099700802 845466267736 951149551203 1268199401604 1796615818939 1902299102406 2536398803208 3593231637878 3804598204812 5389847456817 7186463275756 7609196409624 10779694913634 14372926551512 16169542370451 21559389827268 32339084740902 43118779654536 64678169481804 129356338963608