Search a number
-
+
42000625700 = 22521146781761
BaseRepresentation
bin100111000111011011…
…101011000000100100
311000102002120212000122
4213013123223000210
51142004130010300
631143403101112
73014546266535
oct470733530044
9130362525018
1042000625700
11168a3292810
128181b11798
133c646b8657
14206618a68c
15115c46ec85
hex9c76eb024

42000625700 has 72 divisors (see below), whose sum is σ = 99641060064. Its totient is φ = 15240064000.

The previous prime is 42000625687. The next prime is 42000625717. The reversal of 42000625700 is 752600024.

It is a self number, because there is not a number n which added to its sum of digits gives 42000625700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472820 + ... + 554580.

It is an arithmetic number, because the mean of its divisors is an integer number (1383903612).

Almost surely, 242000625700 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 42000625700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49820530032).

42000625700 is an abundant number, since it is smaller than the sum of its proper divisors (57640434364).

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

42000625700 is a wasteful number, since it uses less digits than its factorization.

42000625700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82253 (or 82246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 42000625700 in words is "forty-two billion, six hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 467 550 934 1100 1868 2335 4670 5137 9340 10274 11675 20548 23350 25685 46700 51370 81761 102740 128425 163522 256850 327044 408805 513700 817610 899371 1635220 1798742 2044025 3597484 4088050 4496855 8176100 8993710 17987420 22484275 38182387 44968550 76364774 89937100 152729548 190911935 381823870 420006257 763647740 840012514 954559675 1680025028 1909119350 2100031285 3818238700 4200062570 8400125140 10500156425 21000312850 42000625700