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238902191640 = 233357192396959
BaseRepresentation
bin1101111001111110101…
…1100010011000011000
3211211122111121210001000
43132133223202120120
512403232430113030
6301430011025000
723155135060230
oct3363753423030
9754574553030
10238902191640
1192355071602
123a373a3b160
13196b3b0a498
14b7c4960cc0
1563338a9860
hex379fae2618

238902191640 has 512 divisors, whose sum is σ = 962150400000. Its totient is φ = 51508348416.

The previous prime is 238902191639. The next prime is 238902191663. The reversal of 238902191640 is 46191209832.

238902191640 is a `hidden beast` number, since 2 + 389 + 0 + 219 + 16 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34326481 + ... + 34333439.

It is an arithmetic number, because the mean of its divisors is an integer number (1879200000).

Almost surely, 2238902191640 is an apocalyptic number.

238902191640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238902191640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481075200000).

238902191640 is an abundant number, since it is smaller than the sum of its proper divisors (723248208360).

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

238902191640 is a wasteful number, since it uses less digits than its factorization.

238902191640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 238902191640 in words is "two hundred thirty-eight billion, nine hundred two million, one hundred ninety-one thousand, six hundred forty".