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2097537768 = 23346475003
BaseRepresentation
bin111110100000101…
…1110001011101000
312102011212221220000
41331001132023220
513243432202033
6544045303000
7102656530314
oct17501361350
95364787800
102097537768
11987007197
124a6564a60
13275738211
1415c808b44
15c422ca13
hex7d05e2e8

2097537768 has 80 divisors (see below), whose sum is σ = 5885304480. Its totient is φ = 697959072.

The previous prime is 2097537719. The next prime is 2097537803. The reversal of 2097537768 is 8677357902.

2097537768 is a `hidden beast` number, since 209 + 7 + 5 + 377 + 68 = 666.

2097537768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 416755 + ... + 421757.

It is an arithmetic number, because the mean of its divisors is an integer number (73566306).

Almost surely, 22097537768 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 2097537768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942652240).

2097537768 is an abundant number, since it is smaller than the sum of its proper divisors (3787766712).

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

2097537768 is a wasteful number, since it uses less digits than its factorization.

2097537768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 2097537768 is about 45798.8839165323. The cubic root of 2097537768 is about 1280.0784798886.

The spelling of 2097537768 in words is "two billion, ninety-seven million, five hundred thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 647 648 1294 1941 2588 3882 5003 5176 5823 7764 10006 11646 15009 15528 17469 20012 23292 30018 34938 40024 45027 46584 52407 60036 69876 90054 104814 120072 135081 139752 180108 209628 270162 360216 405243 419256 540324 810486 1080648 1620972 3236941 3241944 6473882 9710823 12947764 19421646 25895528 29132469 38843292 58264938 77686584 87397407 116529876 174794814 233059752 262192221 349589628 524384442 699179256 1048768884 2097537768