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157321422720 = 27335731119127
BaseRepresentation
bin1001001010000100010…
…1100110011110000000
3120001002000000022202000
42102201011212132000
510034143241011340
6200134504024000
714236400013000
oct2224105463600
9501060008660
10157321422720
11607a0929430
12265a6762000
1311ab2344057
147885c9a000
15415b739d30
hex24a1166780

157321422720 has 2048 divisors, whose sum is σ = 752025600000. Its totient is φ = 30725775360.

The previous prime is 157321422673. The next prime is 157321422751. The reversal of 157321422720 is 27224123751.

157321422720 is a `hidden beast` number, since 1 + 573 + 2 + 1 + 42 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1238751297 + ... + 1238751423.

It is an arithmetic number, because the mean of its divisors is an integer number (367200000).

Almost surely, 2157321422720 is an apocalyptic number.

157321422720 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 157321422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012800000).

157321422720 is an abundant number, since it is smaller than the sum of its proper divisors (594704177280).

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

157321422720 is a wasteful number, since it uses less digits than its factorization.

157321422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 157321422720 in words is "one hundred fifty-seven billion, three hundred twenty-one million, four hundred twenty-two thousand, seven hundred twenty".