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157834348848 = 243411193118797
BaseRepresentation
bin1001001011111110101…
…0010000100100110000
3120002101202011200010000
42102333222100210300
510041221043130343
6200301425510000
714255165554311
oct2227752204460
9502352150100
10157834348848
1160a34414420
122670a4a2300
1311b646a3837
1478d4058608
15418b7a7ed3
hex24bfa90930

157834348848 has 400 divisors, whose sum is σ = 541526768640. Its totient is φ = 43847308800.

The previous prime is 157834348811. The next prime is 157834348897. The reversal of 157834348848 is 848843438751.

It is a happy number.

157834348848 is a `hidden beast` number, since 1 + 5 + 7 + 83 + 434 + 88 + 48 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8387386 + ... + 8406182.

Almost surely, 2157834348848 is an apocalyptic number.

157834348848 is a gapful number since it is divisible by the number (18) 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 157834348848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270763384320).

157834348848 is an abundant number, since it is smaller than the sum of its proper divisors (383692419792).

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

157834348848 is a wasteful number, since it uses less digits than its factorization.

157834348848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18878 (or 18863 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 157834348848 in words is "one hundred fifty-seven billion, eight hundred thirty-four million, three hundred forty-eight thousand, eight hundred forty-eight".