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2097976536 = 2332431733917
BaseRepresentation
bin111110100001100…
…1001010011011000
312102012201020202200
41331003021103120
513244040222121
6544102530200
7102663335445
oct17503112330
95365636680
102097976536
11987286907
124a6736960
1327585cb46
1415c8c09cc
15c42b7a26
hex7d0c94d8

2097976536 has 96 divisors (see below), whose sum is σ = 5849260560. Its totient is φ = 678940416.

The previous prime is 2097976513. The next prime is 2097976537. The reversal of 2097976536 is 6356797902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097976537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533650 + ... + 537566.

Almost surely, 22097976536 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 2097976536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924630280).

2097976536 is an abundant number, since it is smaller than the sum of its proper divisors (3751284024).

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

2097976536 is a wasteful number, since it uses less digits than its factorization.

2097976536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2097976536 is about 45803.6738264520. The cubic root of 2097976536 is about 1280.1677302984.

The spelling of 2097976536 in words is "two billion, ninety-seven million, nine hundred seventy-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 173 258 344 346 387 516 519 692 774 1032 1038 1384 1548 1557 2076 3096 3114 3917 4152 6228 7439 7834 11751 12456 14878 15668 22317 23502 29756 31336 35253 44634 47004 59512 66951 70506 89268 94008 133902 141012 168431 178536 267804 282024 336862 505293 535608 673724 677641 1010586 1347448 1355282 1515879 2021172 2032923 2710564 3031758 4042344 4065846 5421128 6063516 6098769 8131692 12127032 12197538 16263384 24395076 29138563 48790152 58277126 87415689 116554252 174831378 233108504 262247067 349662756 524494134 699325512 1048988268 2097976536