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238162929312 = 253711212723063
BaseRepresentation
bin1101110111001110011…
…1011110011010100000
3211202201222120100202210
43131303213132122200
512400224202214222
6301224402042120
723130620332410
oct3356347363240
9752658510683
10238162929312
1192005845900
123a1a8349340
13195c6902259
14b7546c6640
1562dda2dd0c
hex37739de6a0

238162929312 has 288 divisors, whose sum is σ = 791565336576. Its totient is φ = 61370749440.

The previous prime is 238162929269. The next prime is 238162929353. The reversal of 238162929312 is 213929261832.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10315093 + ... + 10338155.

It is an arithmetic number, because the mean of its divisors is an integer number (2748490752).

Almost surely, 2238162929312 is an apocalyptic number.

238162929312 is a gapful number since it is divisible by the number (22) 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 238162929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395782668288).

238162929312 is an abundant number, since it is smaller than the sum of its proper divisors (553402407264).

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

238162929312 is a wasteful number, since it uses less digits than its factorization.

238162929312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23232 (or 23213 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The spelling of 238162929312 in words is "two hundred thirty-eight billion, one hundred sixty-two million, nine hundred twenty-nine thousand, three hundred twelve".