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42553269000 = 23345311163293
BaseRepresentation
bin100111101000010111…
…110101101100001000
311001211121111001010000
4213220113311230020
51144122114102000
631314304123000
73034336550514
oct475027655410
9131747431100
1042553269000
1117057235910
1282b7006460
134022043018
1420b9727144
151190c36000
hex9e85f5b08

42553269000 has 640 divisors, whose sum is σ = 163822538880. Its totient is φ = 10217664000.

The previous prime is 42553268981. The next prime is 42553269023. The reversal of 42553269000 is 96235524.

42553269000 is a `hidden beast` number, since 42 + 553 + 2 + 69 + 0 + 0 + 0 = 666.

42553269000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425532690002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 145232854 + ... + 145233146.

It is an arithmetic number, because the mean of its divisors is an integer number (255972717).

Almost surely, 242553269000 is an apocalyptic number.

42553269000 is a gapful number since it is divisible by the number (40) 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 42553269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81911269440).

42553269000 is an abundant number, since it is smaller than the sum of its proper divisors (121269269880).

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

42553269000 is a wasteful number, since it uses less digits than its factorization.

42553269000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 42553269000 in words is "forty-two billion, five hundred fifty-three million, two hundred sixty-nine thousand".