Search a number
-
+
42597336000 = 263538292141
BaseRepresentation
bin100111101010111111…
…111100001111000000
311001221200101212200010
4213222333330033000
51144214404223000
631322520424520
73035413244652
oct475277741700
9131850355603
1042597336000
111707a0a401a
128309918140
13402b201a7b
1420c15186d2
151194a3cd50
hex9eaffc3c0

42597336000 has 224 divisors, whose sum is σ = 140891849280. Its totient is φ = 11340288000.

The previous prime is 42597335951. The next prime is 42597336029. The reversal of 42597336000 is 63379524.

It is a self number, because there is not a number n which added to its sum of digits gives 42597336000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19894930 + ... + 19897070.

It is an arithmetic number, because the mean of its divisors is an integer number (628981470).

Almost surely, 242597336000 is an apocalyptic number.

42597336000 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 42597336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70445924640).

42597336000 is an abundant number, since it is smaller than the sum of its proper divisors (98294513280).

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

42597336000 is a wasteful number, since it uses less digits than its factorization.

42597336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 42597336000 in words is "forty-two billion, five hundred ninety-seven million, three hundred thirty-six thousand".