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253723312920 = 2335711174734367
BaseRepresentation
bin1110110001001100010…
…1101000001100011000
3220020220102011202020210
43230103011220030120
513124111132003140
6312320415051120
724221333401320
oct3542305501430
9806812152223
10253723312920
1198670217370
124120b510aa0
131ac06585b2c
14c3cd100280
1568eeb37d80
hex3b13168318

253723312920 has 512 divisors, whose sum is σ = 1026222981120. Its totient is φ = 48563281920.

The previous prime is 253723312897. The next prime is 253723312939. The reversal of 253723312920 is 29213327352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7365577 + ... + 7399943.

It is an arithmetic number, because the mean of its divisors is an integer number (2004341760).

Almost surely, 2253723312920 is an apocalyptic number.

253723312920 is a gapful number since it is divisible by the number (20) 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 253723312920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513111490560).

253723312920 is an abundant number, since it is smaller than the sum of its proper divisors (772499668200).

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

253723312920 is a wasteful number, since it uses less digits than its factorization.

253723312920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34463 (or 34459 counting only the distinct ones).

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

The spelling of 253723312920 in words is "two hundred fifty-three billion, seven hundred twenty-three million, three hundred twelve thousand, nine hundred twenty".