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1298837088252 = 22321124122373251
BaseRepresentation
bin10010111001101000101…
…110010010011111111100
311121011112012010102012200
4102321220232102133330
5132240004243311002
62432402202231500
7162560252043204
oct22715056223774
94534465112180
101298837088252
11460919748400
1218b881ab5590
13956311ba392
1446c14d51404
1523bbbcb3b1c
hex12e68b927fc

1298837088252 has 216 divisors, whose sum is σ = 3699584428176. Its totient is φ = 383697600000.

The previous prime is 1298837088247. The next prime is 1298837088257. The reversal of 1298837088252 is 2528807388921.

1298837088252 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 8 + 370 + 8 + 8 + 252 = 666.

It is an interprime number because it is at equal distance from previous prime (1298837088247) and next prime (1298837088257).

It is a self number, because there is not a number n which added to its sum of digits gives 1298837088252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298837088257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399517627 + ... + 399520877.

It is an arithmetic number, because the mean of its divisors is an integer number (17127705686).

Almost surely, 21298837088252 is an apocalyptic number.

1298837088252 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 1298837088252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849792214088).

1298837088252 is an abundant number, since it is smaller than the sum of its proper divisors (2400747339924).

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

1298837088252 is a wasteful number, since it uses less digits than its factorization.

1298837088252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1298837088252 in words is "one trillion, two hundred ninety-eight billion, eight hundred thirty-seven million, eighty-eight thousand, two hundred fifty-two".