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238023042177756 = 2231123412417934441
BaseRepresentation
bin110110000111101100001110…
…111000001001101011011100
31011012202210002001122010111210
4312013230032320021223130
5222144232142244142011
62202122135342344420
7101064411606221133
oct6607541670115334
91135683061563453
10238023042177756
1169929007074850
122284256328b110
13a2a762702b294
1442ac53b99a91a
151c7b7d3b706a6
hexd87b0ee09adc

238023042177756 has 192 divisors, whose sum is σ = 650326670687232. Its totient is φ = 67030149120000.

The previous prime is 238023042177727. The next prime is 238023042177763. The reversal of 238023042177756 is 657771240320832.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 238023042177696 and 238023042177705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26031496 + ... + 33965936.

It is an arithmetic number, because the mean of its divisors is an integer number (3387118076496).

Almost surely, 2238023042177756 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 238023042177756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325163335343616).

238023042177756 is an abundant number, since it is smaller than the sum of its proper divisors (412303628509476).

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

238023042177756 is a wasteful number, since it uses less digits than its factorization.

238023042177756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934764 (or 7934762 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 238023042177756 in words is "two hundred thirty-eight trillion, twenty-three billion, forty-two million, one hundred seventy-seven thousand, seven hundred fifty-six".