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238370485824 = 263467812
BaseRepresentation
bin1101110111111111111…
…1001111011001000000
3211210021110010022210000
43131333333033121000
512401140321021244
6301301134440000
723136020461422
oct3357777173100
9753243108700
10238370485824
1192101a1a109
123a245963000
131962a903b63
14b7740b4812
156301d7c169
hex377ffcf640

238370485824 has 105 divisors (see below), whose sum is σ = 706709013681. Its totient is φ = 79445111040.

The previous prime is 238370485813. The next prime is 238370485943. The reversal of 238370485824 is 428584073832.

The square root of 238370485824 is 488232.

It is a perfect power (a square), and thus also a powerful number.

238370485824 is a `hidden beast` number, since 2 + 3 + 83 + 7 + 0 + 485 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103534645824 + 134835840000 = 321768^2 + 367200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35149314 + ... + 35156094.

Almost surely, 2238370485824 is an apocalyptic number.

238370485824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

238370485824 is the 488232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238370485824

238370485824 is an abundant number, since it is smaller than the sum of its proper divisors (468338527857).

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

238370485824 is an frugal number, since it uses more digits than its factorization.

238370485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 238370485824 in words is "two hundred thirty-eight billion, three hundred seventy million, four hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 6781 13562 20343 27124 40686 54248 61029 81372 108496 122058 162744 183087 216992 244116 325488 366174 433984 488232 549261 650976 732348 976464 1098522 1301952 1464696 1952928 2197044 2929392 3905856 4394088 5858784 8788176 11717568 17576352 35152704 45981961 91963922 137945883 183927844 275891766 367855688 413837649 551783532 735711376 827675298 1103567064 1241512947 1471422752 1655350596 2207134128 2483025894 2942845504 3310701192 3724538841 4414268256 4966051788 6621402384 7449077682 8828536512 9932103576 13242804768 14898155364 19864207152 26485609536 29796310728 39728414304 59592621456 79456828608 119185242912 238370485824