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238996829568 = 273788912511
BaseRepresentation
bin1101111010010101010…
…0100011010110000000
3211211220002200212212110
43132211110203112000
512403431142021233
6301443231255320
723160364350450
oct3364524432600
9754802625773
10238996829568
11923a3530472
123a39b67a540
13196ca5c4463
14b7d3357d60
15633bd50663
hex37a5523580

238996829568 has 64 divisors (see below), whose sum is σ = 725526097920. Its totient is φ = 68284807680.

The previous prime is 238996829567. The next prime is 238996829581. The reversal of 238996829568 is 865928699832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 238996829568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238996829567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44453568 + ... + 44458943.

It is an arithmetic number, because the mean of its divisors is an integer number (11336345280).

Almost surely, 2238996829568 is an apocalyptic number.

238996829568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

238996829568 is an abundant number, since it is smaller than the sum of its proper divisors (486529268352).

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

238996829568 is an equidigital number, since it uses as much as digits as its factorization.

238996829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88912535 (or 88912523 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 75.

The spelling of 238996829568 in words is "two hundred thirty-eight billion, nine hundred ninety-six million, eight hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 88912511 177825022 266737533 355650044 533475066 622387577 711300088 1066950132 1244775154 1422600176 1867162731 2133900264 2489550308 2845200352 3734325462 4267800528 4979100616 5690400704 7468650924 8535601056 9958201232 11380801408 14937301848 17071202112 19916402464 29874603696 34142404224 39832804928 59749207392 79665609856 119498414784 238996829568