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239531658368 = 2718122392
BaseRepresentation
bin1101111100010100110…
…0110000110010000000
3211220021101002000001112
43133011030300302000
512411030101031433
6302012254422452
723206550334212
oct3370514606200
9756241060045
10239531658368
1192648416242
123a50a801a28
13197843523c2
14b8443b85b2
15636dc98348
hex37c5330c80

239531658368 has 72 divisors (see below), whose sum is σ = 481859072865. Its totient is φ = 118605795840.

The previous prime is 239531658349. The next prime is 239531658389. The reversal of 239531658368 is 863856135932.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 144771118144 + 94760540224 = 380488^2 + 307832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=346072.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1002224393 + ... + 1002224631.

Almost surely, 2239531658368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239531658368

239531658368 is an abundant number, since it is smaller than the sum of its proper divisors (242327414497).

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

239531658368 is an frugal number, since it uses more digits than its factorization.

239531658368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 422 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 59.

The spelling of 239531658368 in words is "two hundred thirty-nine billion, five hundred thirty-one million, six hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 239 362 478 724 956 1448 1912 2896 3824 5792 7648 11584 15296 23168 30592 32761 43259 57121 65522 86518 114242 131044 173036 228484 262088 346072 456968 524176 692144 913936 1048352 1384288 1827872 2096704 2768576 3655744 4193408 5537152 7311488 7829879 10338901 15659758 20677802 31319516 41355604 62639032 82711208 125278064 165422416 250556128 330844832 501112256 661689664 1002224512 1323379328 1871341081 3742682162 7485364324 14970728648 29941457296 59882914592 119765829184 239531658368