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2097033016 = 231337593919
BaseRepresentation
bin111110011111110…
…0010111100111000
312102010221022111111
41330333202330320
513243320024031
6544030410104
7102652325611
oct17477427470
95363838444
102097033016
119867a1a41
124a6360934
132755bc550
1415c716c08
15c417d1b1
hex7cfe2f38

2097033016 has 64 divisors (see below), whose sum is σ = 4360910400. Its totient is φ = 939091968.

The previous prime is 2097032939. The next prime is 2097033023. The reversal of 2097033016 is 6103307902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281405 + ... + 2282323.

It is an arithmetic number, because the mean of its divisors is an integer number (68139225).

Almost surely, 22097033016 is an apocalyptic number.

2097033016 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 2097033016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180455200).

2097033016 is an abundant number, since it is smaller than the sum of its proper divisors (2263877384).

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

2097033016 is a wasteful number, since it uses less digits than its factorization.

2097033016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 2097033016 is about 45793.3730576816. The cubic root of 2097033016 is about 1279.9757921854.

The spelling of 2097033016 in words is "two billion, ninety-seven million, thirty-three thousand, sixteen".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 593 919 962 1186 1838 1924 2372 3676 3848 4744 7352 7709 11947 15418 21941 23894 30836 34003 43882 47788 61672 68006 87764 95576 136012 175528 272024 285233 442039 544967 570466 884078 1089934 1140932 1768156 2179868 2281864 3536312 4359736 7084571 14169142 20163779 28338284 40327558 56676568 80655116 161310232 262129127 524258254 1048516508 2097033016