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1252470939552 = 253472911172131
BaseRepresentation
bin10010001110011101000…
…101011101111110100000
311102201211212001000110000
4102032131011131332200
5131010030030031202
62355213250540000
7156326253221130
oct22163505357640
94381755030400
101252470939552
11443196214648
121828a1b97600
1391152250731
14448970a2ac0
15228a646a91c
hex1239d15dfa0

1252470939552 has 480 divisors, whose sum is σ = 4360799963520. Its totient is φ = 345037916160.

The previous prime is 1252470939541. The next prime is 1252470939553. The reversal of 1252470939552 is 2559390742521.

1252470939552 is a `hidden beast` number, since 1 + 2 + 5 + 247 + 0 + 9 + 395 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1252470939553) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587737527 + ... + 587739657.

It is an arithmetic number, because the mean of its divisors is an integer number (9084999924).

Almost surely, 21252470939552 is an apocalyptic number.

1252470939552 is a gapful number since it is divisible by the number (12) 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 1252470939552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180399981760).

1252470939552 is an abundant number, since it is smaller than the sum of its proper divisors (3108329023968).

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

1252470939552 is a wasteful number, since it uses less digits than its factorization.

1252470939552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1252470939552 in words is "one trillion, two hundred fifty-two billion, four hundred seventy million, nine hundred thirty-nine thousand, five hundred fifty-two".