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2059691088 = 2437213314153
BaseRepresentation
bin111101011000100…
…0110010001010000
312022112200011000010
41322301012101100
513204240103323
6540214154520
7102020041200
oct17261062120
95275604003
102059691088
11967707444
12495952a40
1326a946830
14157796400
15c0c53c93
hex7ac46450

2059691088 has 480 divisors, whose sum is σ = 7181540352. Its totient is φ = 503193600.

The previous prime is 2059691087. The next prime is 2059691089. The reversal of 2059691088 is 8801969502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2059691087) and next prime (2059691089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059691087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38862070 + ... + 38862122.

Almost surely, 22059691088 is an apocalyptic number.

2059691088 is a gapful number since it is divisible by the number (28) 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 2059691088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590770176).

2059691088 is an abundant number, since it is smaller than the sum of its proper divisors (5121849264).

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

2059691088 is a wasteful number, since it uses less digits than its factorization.

2059691088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 2059691088 is about 45383.8196717729. The cubic root of 2059691088 is about 1272.3327221852.

The spelling of 2059691088 in words is "two billion, fifty-nine million, six hundred ninety-one thousand, eighty-eight".