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8157903390 = 23357131719531
BaseRepresentation
bin1111001100011111…
…11011101000011110
3210001112112102122000
413212033323220132
5113201410402030
63425300103130
7406106014620
oct74617735036
923045472560
108157903390
113506a1861a
1216b8094aa6
13a0017b490
1457564cc10
1532b2db860
hex1e63fba1e

8157903390 has 256 divisors, whose sum is σ = 28351088640. Its totient is φ = 1619896320.

The previous prime is 8157903389. The next prime is 8157903401. The reversal of 8157903390 is 933097518.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407925 + ... + 427455.

It is an arithmetic number, because the mean of its divisors is an integer number (110746440).

Almost surely, 28157903390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8157903390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175544320).

8157903390 is an abundant number, since it is smaller than the sum of its proper divisors (20193185250).

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

8157903390 is a wasteful number, since it uses less digits than its factorization.

8157903390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 8157903390 is about 90321.1126481511. The cubic root of 8157903390 is about 2013.0729782689.

The spelling of 8157903390 in words is "eight billion, one hundred fifty-seven million, nine hundred three thousand, three hundred ninety".