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8325160896 = 2631312726263
BaseRepresentation
bin1111100000011011…
…11101111111000000
3210111012020222210110
413300031331333000
5114022220122041
63454033031320
7413206462053
oct76015757700
923435228713
108325160896
113592377668
1217440b5540
13a28a10410
1458d94aa9a
1533ad29516
hex1f037dfc0

8325160896 has 112 divisors (see below), whose sum is σ = 23909064704. Its totient is φ = 2541321216.

The previous prime is 8325160853. The next prime is 8325160919. The reversal of 8325160896 is 6980615238.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303861 + ... + 330123.

It is an arithmetic number, because the mean of its divisors is an integer number (213473792).

Almost surely, 28325160896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8325160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11954532352).

8325160896 is an abundant number, since it is smaller than the sum of its proper divisors (15583903808).

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

8325160896 is a wasteful number, since it uses less digits than its factorization.

8325160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418 (or 26408 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8325160896 is about 91242.3196548619. The cubic root of 8325160896 is about 2026.7376962256.

The spelling of 8325160896 in words is "eight billion, three hundred twenty-five million, one hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 508 624 762 832 1016 1248 1524 1651 2032 2496 3048 3302 4064 4953 6096 6604 8128 9906 12192 13208 19812 24384 26263 26416 39624 52526 52832 78789 79248 105052 105664 157578 158496 210104 315156 316992 341419 420208 630312 682838 840416 1024257 1260624 1365676 1680832 2048514 2521248 2731352 3335401 4097028 5042496 5462704 6670802 8194056 10006203 10925408 13341604 16388112 20012406 21850816 26683208 32776224 40024812 43360213 53366416 65552448 80049624 86720426 106732832 130080639 160099248 173440852 213465664 260161278 320198496 346881704 520322556 640396992 693763408 1040645112 1387526816 2081290224 2775053632 4162580448 8325160896