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157868248608 = 253272234111863
BaseRepresentation
bin1001001100000110101…
…1100100111000100000
3120002111002221221211200
42103001223210320200
510041303232423413
6200305040241200
714256056654400
oct2230153447040
9502432857750
10157868248608
1160a51568854
1226719910200
1311b6b712875
1478d8760800
15418e752573
hex24c1ae4e20

157868248608 has 432 divisors, whose sum is σ = 558277888896. Its totient is φ = 42088273920.

The previous prime is 157868248607. The next prime is 157868248663. The reversal of 157868248608 is 806842868751.

157868248608 is a `hidden beast` number, since 1 + 5 + 78 + 6 + 82 + 486 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (157868248607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13301685 + ... + 13313547.

It is an arithmetic number, because the mean of its divisors is an integer number (1292309928).

Almost surely, 2157868248608 is an apocalyptic number.

157868248608 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 157868248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279138944448).

157868248608 is an abundant number, since it is smaller than the sum of its proper divisors (400409640288).

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

157868248608 is a wasteful number, since it uses less digits than its factorization.

157868248608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 157868248608 in words is "one hundred fifty-seven billion, eight hundred sixty-eight million, two hundred forty-eight thousand, six hundred eight".