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129845584368 = 24327985313381
BaseRepresentation
bin111100011101101100…
…1100110000111110000
3110102011011101010012100
41320323121212013300
54111410432144433
6135352241300400
712244460154003
oct1707331460760
9412134333170
10129845584368
11500814a1405
12211b9034700
13c323bbab36
1463dab9153a
15359e510b13
hex1e3b6661f0

129845584368 has 120 divisors (see below), whose sum is σ = 368446070720. Its totient is φ = 42680701440.

The previous prime is 129845584361. The next prime is 129845584369. The reversal of 129845584368 is 863485548921.

129845584368 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 45 + 584 + 3 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129845584361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9697038 + ... + 9710418.

Almost surely, 2129845584368 is an apocalyptic number.

129845584368 is a gapful number since it is divisible by the number (18) 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 129845584368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184223035360).

129845584368 is an abundant number, since it is smaller than the sum of its proper divisors (238600486352).

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

129845584368 is a wasteful number, since it uses less digits than its factorization.

129845584368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14318 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 129845584368 in words is "one hundred twenty-nine billion, eight hundred forty-five million, five hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 853 948 1264 1422 1706 1896 2559 2844 3412 3792 5118 5688 6824 7677 10236 11376 13381 13648 15354 20472 26762 30708 40143 40944 53524 61416 67387 80286 107048 120429 122832 134774 160572 202161 214096 240858 269548 321144 404322 481716 539096 606483 642288 808644 963432 1057099 1078192 1212966 1617288 1926864 2114198 2425932 3171297 3234576 4228396 4851864 6342594 8456792 9513891 9703728 11413993 12685188 16913584 19027782 22827986 25370376 34241979 38055564 45655972 50740752 68483958 76111128 91311944 102725937 136967916 152222256 182623888 205451874 273935832 410903748 547871664 821807496 901705447 1643614992 1803410894 2705116341 3606821788 5410232682 7213643576 8115349023 10820465364 14427287152 16230698046 21640930728 32461396092 43281861456 64922792184 129845584368