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20155468842432 = 2639711316703
BaseRepresentation
bin1001001010100110011111…
…00011111000010111000000
32122100211210021112000000000
410211103033203320113000
510120211400010424212
6110511143343000000
74150120210255110
oct445231743702700
978324707460000
1020155468842432
116470982789480
122316321899000
13b32863888021
144d975c075040
1524e453b2d1dc
hex1254cf8f85c0

20155468842432 has 1120 divisors, whose sum is σ = 77220771201024. Its totient is φ = 5065553894400.

The previous prime is 20155468842367. The next prime is 20155468842451. The reversal of 20155468842432 is 23424886455102.

20155468842432 is a `hidden beast` number, since 2 + 0 + 1 + 55 + 46 + 88 + 42 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3006929193 + ... + 3006935895.

Almost surely, 220155468842432 is an apocalyptic number.

20155468842432 is a gapful number since it is divisible by the number (22) 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 20155468842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610385600512).

20155468842432 is an abundant number, since it is smaller than the sum of its proper divisors (57065302358592).

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

20155468842432 is an frugal number, since it uses more digits than its factorization.

20155468842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 20155468842432 in words is "twenty trillion, one hundred fifty-five billion, four hundred sixty-eight million, eight hundred forty-two thousand, four hundred thirty-two".