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238946445012 = 2231117216737507
BaseRepresentation
bin1101111010001001010…
…0010110011011010100
3211211202120220002020210
43132202110112123110
512403330242220022
6301434231325420
723156213161632
oct3364224263324
9754676802223
10238946445012
1192378047840
123a386820870
13196c0033002
14b7ca7a0352
1563376eba0c
hex37a25166d4

238946445012 has 144 divisors (see below), whose sum is σ = 649996236288. Its totient is φ = 67738836480.

The previous prime is 238946444983. The next prime is 238946445019. The reversal of 238946445012 is 210544649832.

238946445012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238946445019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6351963 + ... + 6389469.

It is an arithmetic number, because the mean of its divisors is an integer number (4513862752).

Almost surely, 2238946445012 is an apocalyptic number.

238946445012 is a gapful number since it is divisible by the number (22) 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 238946445012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324998118144).

238946445012 is an abundant number, since it is smaller than the sum of its proper divisors (411049791276).

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

238946445012 is a wasteful number, since it uses less digits than its factorization.

238946445012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37726 (or 37707 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 238946445012 in words is "two hundred thirty-eight billion, nine hundred forty-six million, four hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 167 187 204 289 334 374 501 561 578 668 748 867 1002 1122 1156 1734 1837 2004 2244 2839 3179 3468 3674 5511 5678 6358 7348 8517 9537 11022 11356 12716 17034 19074 22044 31229 34068 37507 38148 48263 62458 75014 93687 96526 112521 124916 144789 150028 187374 193052 225042 289578 374748 412577 450084 530893 579156 637619 825154 1061786 1237731 1275238 1592679 1650308 1912857 2123572 2475462 2550476 3185358 3825714 4950924 6263669 6370716 7013809 7651428 10839523 12527338 14027618 18791007 21041427 21679046 25054676 28055236 32518569 37582014 42082854 43358092 65037138 68900359 75164028 84165708 106482373 119234753 130074276 137800718 206701077 212964746 238469506 275601436 319447119 357704259 413402154 425929492 476939012 638894238 715408518 826804308 1171306103 1277788476 1430817036 1810200341 2342612206 3513918309 3620400682 4685224412 5430601023 7027836618 7240801364 10861202046 14055673236 19912203751 21722404092 39824407502 59736611253 79648815004 119473222506 238946445012