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25214253372 = 223371131472081
BaseRepresentation
bin10111011110111000…
…101111100100111100
32102002020001210012000
4113132320233210330
5403114322101442
615325552542300
71551555421530
oct273670574474
972066053160
1025214253372
11a769874830
124a78251990
1324baa41369
1413129d9bc0
159c88e4d4c
hex5dee2f93c

25214253372 has 384 divisors, whose sum is σ = 85960949760. Its totient is φ = 6200064000.

The previous prime is 25214253371. The next prime is 25214253413. The reversal of 25214253372 is 27335241252.

25214253372 is a `hidden beast` number, since 2 + 52 + 1 + 4 + 2 + 533 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25214253371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12115372 + ... + 12117452.

It is an arithmetic number, because the mean of its divisors is an integer number (223856640).

Almost surely, 225214253372 is an apocalyptic number.

25214253372 is a gapful number since it is divisible by the number (22) 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 25214253372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42980474880).

25214253372 is an abundant number, since it is smaller than the sum of its proper divisors (60746696388).

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

25214253372 is a wasteful number, since it uses less digits than its factorization.

25214253372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The spelling of 25214253372 in words is "twenty-five billion, two hundred fourteen million, two hundred fifty-three thousand, three hundred seventy-two".