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42522955776 = 21233731959
BaseRepresentation
bin100111100110100100…
…001101000000000000
311001202111102222012000
4213212210031000000
51144041334041101
631311302304000
73033521106000
oct474644150000
9131674388160
1042522955776
1117041111064
1282a8a28000
13401898b5c2
1420b56b6000
15118d249486
hex9e690d000

42522955776 has 832 divisors, whose sum is σ = 157267200000. Its totient is φ = 11314888704.

The previous prime is 42522955771. The next prime is 42522955799. The reversal of 42522955776 is 67755922524.

42522955776 is a `hidden beast` number, since 42 + 5 + 2 + 29 + 5 + 577 + 6 = 666.

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

Its product of digits (10584000) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522955771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720728035 + ... + 720728093.

Almost surely, 242522955776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78633600000).

42522955776 is an abundant number, since it is smaller than the sum of its proper divisors (114744244224).

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

42522955776 is an equidigital number, since it uses as much as digits as its factorization.

42522955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 42522955776 in words is "forty-two billion, five hundred twenty-two million, nine hundred fifty-five thousand, seven hundred seventy-six".