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238138734208 = 278335716277
BaseRepresentation
bin1101110111001000101…
…1001011011010000000
3211202200022001010022211
43131302023023122000
512400202003443313
6301222135311504
723130204561634
oct3356213133200
9752608033284
10238138734208
1191aa311a751
123a1a021b594
13195c18b051b
14b7513c8dc4
1562db84ee3d
hex37722cb680

238138734208 has 64 divisors (see below), whose sum is σ = 480343842720. Its totient is φ = 117583119360.

The previous prime is 238138734187. The next prime is 238138734217. The reversal of 238138734208 is 802437831832.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37935166 + ... + 37941442.

Almost surely, 2238138734208 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 238138734208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240171921360).

238138734208 is an abundant number, since it is smaller than the sum of its proper divisors (242205108512).

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

238138734208 is an equidigital number, since it uses as much as digits as its factorization.

238138734208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 238138734208 in words is "two hundred thirty-eight billion, one hundred thirty-eight million, seven hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 3571 5312 6277 7142 10624 12554 14284 25108 28568 50216 57136 100432 114272 200864 228544 296393 401728 457088 520991 592786 803456 1041982 1185572 2083964 2371144 4167928 4742288 8335856 9484576 16671712 18969152 22415167 33343424 37938304 44830334 66686848 89660668 179321336 358642672 717285344 1434570688 1860458861 2869141376 3720917722 7441835444 14883670888 29767341776 59534683552 119069367104 238138734208