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238211077248 = 2732433477553
BaseRepresentation
bin1101110111011001111…
…1001001010010000000
3211202212100011112022200
43131312133021102000
512400324013432443
6301233242033200
723132043514404
oct3356637112200
9752770145280
10238211077248
119202aa41091
123a2004a8800
131960388c661
14b75ac5b104
1562e2d8edd3
hex37767c9480

238211077248 has 96 divisors (see below), whose sum is σ = 687061715340. Its totient is φ = 79220146176.

The previous prime is 238211077241. The next prime is 238211077267. The reversal of 238211077248 is 842770112832.

238211077248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236359324224 + 1851753024 = 486168^2 + 43032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (238211077241) 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 11 ways as a sum of consecutive naturals, for example, 260040 + ... + 737592.

Almost surely, 2238211077248 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 238211077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343530857670).

238211077248 is an abundant number, since it is smaller than the sum of its proper divisors (448850638092).

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

238211077248 is a wasteful number, since it uses less digits than its factorization.

238211077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478006 (or 477991 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 238211077248 in words is "two hundred thirty-eight billion, two hundred eleven million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 433 576 866 1152 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 27712 31176 41568 55424 62352 83136 124704 166272 249408 477553 498816 955106 1432659 1910212 2865318 3820424 4297977 5730636 7640848 8595954 11461272 15281696 17191908 22922544 30563392 34383816 45845088 61126784 68767632 91690176 137535264 183380352 206780449 275070528 413560898 550141056 620341347 827121796 1240682694 1654243592 1861024041 2481365388 3308487184 3722048082 4962730776 6616974368 7444096164 9925461552 13233948736 14888192328 19850923104 26467897472 29776384656 39701846208 59552769312 79403692416 119105538624 238211077248