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42366503088 = 24347213193773
BaseRepresentation
bin100111011101001111…
…011000100010110000
311001100121001100110000
4213131033120202300
51143231311044323
631243553110000
73026611222500
oct473517304260
9131317040400
1042366503088
1116a70871918
128264558300
133cc2440650
14209c9cba00
15117e642e43
hex9dd3d88b0

42366503088 has 1200 divisors, whose sum is σ = 168343079520. Its totient is φ = 10158317568.

The previous prime is 42366503041. The next prime is 42366503117. The reversal of 42366503088 is 88030566324.

It is a happy number.

42366503088 is a `hidden beast` number, since 4 + 2 + 3 + 66 + 503 + 0 + 88 = 666.

42366503088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 580363020 + ... + 580363092.

Almost surely, 242366503088 is an apocalyptic number.

42366503088 is a gapful number since it is divisible by the number (48) 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 42366503088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84171539760).

42366503088 is an abundant number, since it is smaller than the sum of its proper divisors (125976576432).

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

42366503088 is a wasteful number, since it uses less digits than its factorization.

42366503088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42366503088 in words is "forty-two billion, three hundred sixty-six million, five hundred three thousand, eighty-eight".