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157993887744 = 2113572111931
BaseRepresentation
bin1001001100100100101…
…0110110100000000000
3120002210212101002100000
42103021022312200000
510042032413401434
6200325325200000
714262143613300
oct2231112664000
9502725332300
10157993887744
1161006481350
1226753a00000
1311b8b762454
14790b307600
15419a7bdb99
hex24c92b6800

157993887744 has 1728 divisors, whose sum is σ = 652516300800. Its totient is φ = 37623398400.

The previous prime is 157993887731. The next prime is 157993887749. The reversal of 157993887744 is 447788399751.

157993887744 is a `hidden beast` number, since 1 + 57 + 99 + 388 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (426746880) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (157993887749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5096577009 + ... + 5096577039.

It is an arithmetic number, because the mean of its divisors is an integer number (377613600).

Almost surely, 2157993887744 is an apocalyptic number.

157993887744 is a gapful number since it is divisible by the number (14) 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 157993887744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326258150400).

157993887744 is an abundant number, since it is smaller than the sum of its proper divisors (494522413056).

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

157993887744 is a wasteful number, since it uses less digits than its factorization.

157993887744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 157993887744 in words is "one hundred fifty-seven billion, nine hundred ninety-three million, eight hundred eighty-seven thousand, seven hundred forty-four".