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158164131840 = 2133511139001
BaseRepresentation
bin1001001101001101010…
…0010010000000000000
3120010020201201101022220
42103103110102000000
510042410004204330
6200354250131040
714266311636621
oct2232324220000
9503221641286
10158164131840
1161093590250
12267a0a20a80
1311bb7acb8c0
147925b81a48
1541aa6eb710
hex24d3512000

158164131840 has 448 divisors, whose sum is σ = 594638416512. Its totient is φ = 35389440000.

The previous prime is 158164131781. The next prime is 158164131863. The reversal of 158164131840 is 48131461851.

It is a junction number, because it is equal to n+sod(n) for n = 158164131792 and 158164131801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17567340 + ... + 17576340.

It is an arithmetic number, because the mean of its divisors is an integer number (1327317894).

Almost surely, 2158164131840 is an apocalyptic number.

158164131840 is a gapful number since it is divisible by the number (10) 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 158164131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297319208256).

158164131840 is an abundant number, since it is smaller than the sum of its proper divisors (436474284672).

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

158164131840 is a wasteful number, since it uses less digits than its factorization.

158164131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 158164131840 in words is "one hundred fifty-eight billion, one hundred sixty-four million, one hundred thirty-one thousand, eight hundred forty".