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8252370000 = 243254713099
BaseRepresentation
bin1111010111110000…
…10010110001010000
3210022010021211110100
413223320102301100
5113400101320000
63442512532400
7411333662520
oct75370226120
923263254410
108252370000
11355527a7a6
121723851100
13a16905494
14583ddd680
1533474ba00
hex1ebe12c50

8252370000 has 300 divisors, whose sum is σ = 32985066400. Its totient is φ = 1886112000.

The previous prime is 8252369981. The next prime is 8252370011. The reversal of 8252370000 is 732528.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×82523700002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 623451 + ... + 636549.

Almost surely, 28252370000 is an apocalyptic number.

8252370000 is a gapful number since it is divisible by the number (80) 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 8252370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492533200).

8252370000 is an abundant number, since it is smaller than the sum of its proper divisors (24732696400).

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

8252370000 is a wasteful number, since it uses less digits than its factorization.

8252370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8252370000 is about 90842.5561067058. The cubic root of 8252370000 is about 2020.8134814597.

The spelling of 8252370000 in words is "eight billion, two hundred fifty-two million, three hundred seventy thousand".