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157285258992 = 2432311011312663
BaseRepresentation
bin1001001001111011101…
…1101001011011110000
3120000222110222000102200
42102132323221123300
510034110011241432
6200131132543200
714235450433251
oct2223673513360
9500873860380
10157285258992
1160782479054
1226596621b00
1311aa79c16b4
147881164b28
154158494a7c
hex249eee96f0

157285258992 has 240 divisors, whose sum is σ = 462554966016. Its totient is φ = 49832640000.

The previous prime is 157285258987. The next prime is 157285259017. The reversal of 157285258992 is 299852582751.

157285258992 is a `hidden beast` number, since 1 + 5 + 7 + 28 + 525 + 89 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59061853 + ... + 59064515.

Almost surely, 2157285258992 is an apocalyptic number.

157285258992 is a gapful number since it is divisible by the number (12) 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 157285258992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231277483008).

157285258992 is an abundant number, since it is smaller than the sum of its proper divisors (305269707024).

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

157285258992 is a wasteful number, since it uses less digits than its factorization.

157285258992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2931 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 157285258992 in words is "one hundred fifty-seven billion, two hundred eighty-five million, two hundred fifty-eight thousand, nine hundred ninety-two".