Search a number
-
+
42525943265520 = 243351113137677879
BaseRepresentation
bin10011010101101010101111…
…01111011111100011110000
312120120102220002211000101000
421222311113233133203300
521033221112433444040
6230240052034442000
711646253342406661
oct1152652757374360
9176512802730330
1042525943265520
1112606173362760
124929990433300
131a96243a47790
14a703a3915368
154db2e6226130
hex26ad57bdf8f0

42525943265520 has 320 divisors, whose sum is σ = 172086335769600. Its totient is φ = 9516294927360.

The previous prime is 42525943265479. The next prime is 42525943265521. The reversal of 42525943265520 is 2556234952524.

42525943265520 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 5 + 94 + 3 + 26 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42525943265521) 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, 68530060 + ... + 69147819.

It is an arithmetic number, because the mean of its divisors is an integer number (537769799280).

Almost surely, 242525943265520 is an apocalyptic number.

42525943265520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42525943265520 is an abundant number, since it is smaller than the sum of its proper divisors (129560392504080).

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

42525943265520 is a wasteful number, since it uses less digits than its factorization.

42525943265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137677925 (or 137677913 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 42525943265520 in words is "forty-two trillion, five hundred twenty-five billion, nine hundred forty-three million, two hundred sixty-five thousand, five hundred twenty".