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10122552440 = 23571113219447
BaseRepresentation
bin10010110110101100…
…11110010001111000
3222010110100221110122
421123112132101320
5131212333134230
64352241232412
7505563163460
oct113326362170
928113327418
1010122552440
114324a0a520
121b66032708
13c541c9100
146c0544ba0
153e3a19be5
hex25b59e478

10122552440 has 192 divisors, whose sum is σ = 30749621760. Its totient is φ = 2912232960.

The previous prime is 10122552383. The next prime is 10122552469. The reversal of 10122552440 is 4425522101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510797 + ... + 530243.

It is an arithmetic number, because the mean of its divisors is an integer number (160154280).

Almost surely, 210122552440 is an apocalyptic number.

10122552440 is a gapful number since it is divisible by the number (10) 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 10122552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374810880).

10122552440 is an abundant number, since it is smaller than the sum of its proper divisors (20627069320).

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

10122552440 is a wasteful number, since it uses less digits than its factorization.

10122552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19502 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 10122552440 in words is "ten billion, one hundred twenty-two million, five hundred fifty-two thousand, four hundred forty".