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2900891136 = 293111347281
BaseRepresentation
bin1010110011101000…
…0001011000000000
321111011112112112110
42230322001120000
521420112004021
61155504055320
7131613111363
oct25472013000
97434475473
102900891136
1112595284a0
1268b604540
13372cc3540
141d73a80da
1511ea18476
hexace81600

2900891136 has 320 divisors, whose sum is σ = 9305404416. Its totient is φ = 791347200.

The previous prime is 2900891113. The next prime is 2900891143. The reversal of 2900891136 is 6311980092.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2900891094 and 2900891103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10323316 + ... + 10323596.

Almost surely, 22900891136 is an apocalyptic number.

2900891136 is a gapful number since it is divisible by the number (26) 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 2900891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652702208).

2900891136 is an abundant number, since it is smaller than the sum of its proper divisors (6404513280).

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

2900891136 is a wasteful number, since it uses less digits than its factorization.

2900891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2900891136 is about 53859.9214258617. The cubic root of 2900891136 is about 1426.1892009632.

The spelling of 2900891136 in words is "two billion, nine hundred million, eight hundred ninety-one thousand, one hundred thirty-six".