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238213685106 = 23319432199631
BaseRepresentation
bin1101110111011010100…
…1000101111101110010
3211202212112002000122000
43131312221011331302
512400330200410411
6301233413554430
723132104625445
oct3356651057562
9752775060560
10238213685106
1192031462441
123a201345a16
1319604293677
14b75b33965c
1562e3207956
hex3776a45f72

238213685106 has 192 divisors, whose sum is σ = 574260480000. Its totient is φ = 72990862560.

The previous prime is 238213685071. The next prime is 238213685147. The reversal of 238213685106 is 601586312832.

238213685106 is a `hidden beast` number, since 23 + 82 + 1 + 36 + 8 + 510 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377517411 + ... + 377518041.

It is an arithmetic number, because the mean of its divisors is an integer number (2990940000).

Almost surely, 2238213685106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238213685106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287130240000).

238213685106 is an abundant number, since it is smaller than the sum of its proper divisors (336046794894).

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

238213685106 is a wasteful number, since it uses less digits than its factorization.

238213685106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 238213685106 its reverse (601586312832), we get a palindrome (839799997938).

The spelling of 238213685106 in words is "two hundred thirty-eight billion, two hundred thirteen million, six hundred eighty-five thousand, one hundred six".