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2425023936972 = 2232721319293141151
BaseRepresentation
bin100011010010011110101…
…100001011100111001100
322120211102002100221010100
4203102132230023213030
5304212422111440342
65054012435011100
7340126232234400
oct43223654134714
98524362327110
102425023936972
118554a087942a
12331b9b739a90
131478a936a2c0
148552c26b100
1543131725e4c
hex2349eb0b9cc

2425023936972 has 1728 divisors, whose sum is σ = 8900991590400. Its totient is φ = 548674560000.

The previous prime is 2425023936971. The next prime is 2425023936983. The reversal of 2425023936972 is 2796393205242.

2425023936972 is a `hidden beast` number, since 2 + 4 + 2 + 502 + 3 + 9 + 3 + 69 + 72 = 666.

2425023936972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2425023936971) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16059761097 + ... + 16059761247.

It is an arithmetic number, because the mean of its divisors is an integer number (5151036800).

Almost surely, 22425023936972 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 2425023936972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450495795200).

2425023936972 is an abundant number, since it is smaller than the sum of its proper divisors (6475967653428).

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

2425023936972 is a wasteful number, since it uses less digits than its factorization.

2425023936972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2425023936972 in words is "two trillion, four hundred twenty-five billion, twenty-three million, nine hundred thirty-six thousand, nine hundred seventy-two".