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238481829846 = 2321329307114473
BaseRepresentation
bin1101111000011010011…
…1111110111111010110
3211210120012122012001200
43132012213332333112
512401402322023341
6301320153133330
723141542051521
oct3360647767726
9753505565050
10238481829846
1192159859567
123a2770ba246
13196479b9bb0
14b784bb9bb8
15630ba22db6
hex37869fefd6

238481829846 has 96 divisors (see below), whose sum is σ = 577525908960. Its totient is φ = 70617318912.

The previous prime is 238481829821. The next prime is 238481829863. The reversal of 238481829846 is 648928184832.

238481829846 is a `hidden beast` number, since 2 + 38 + 481 + 82 + 9 + 8 + 46 = 666.

238481829846 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026066 + ... + 2140538.

It is an arithmetic number, because the mean of its divisors is an integer number (6015894885).

Almost surely, 2238481829846 is an apocalyptic number.

238481829846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 238481829846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288762954480).

238481829846 is an abundant number, since it is smaller than the sum of its proper divisors (339044079114).

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

238481829846 is a wasteful number, since it uses less digits than its factorization.

238481829846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114830 (or 114827 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 238481829846 in words is "two hundred thirty-eight billion, four hundred eighty-one million, eight hundred twenty-nine thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 307 377 522 614 754 921 1131 1842 2262 2763 3393 3991 5526 6786 7982 8903 11973 17806 23946 26709 35919 53418 71838 80127 114473 115739 160254 228946 231478 343419 347217 686838 694434 1030257 1041651 1488149 2060514 2083302 2976298 3319717 4464447 6639434 8928894 9959151 13393341 19918302 26786682 29877453 35143211 43156321 59754906 70286422 86312642 105429633 129468963 210859266 258937926 316288899 388406889 456861743 632577798 776813778 913723486 1019153119 1370585229 2038306238 2741170458 3057459357 4111755687 6114918714 8223511374 9172378071 13248990547 18344756142 26497981094 39746971641 79493943282 119240914923 238481829846