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2096856672 = 253735472
BaseRepresentation
bin111110011111011…
…0111111001100000
312102010121100121020
41330332313321200
513243243403142
6544022525440
7102650662521
oct17476677140
95363540536
102096856672
119866914a9
124a6296880
1327555a1c1
1415c6ac848
15c4145cec
hex7cfb7e60

2096856672 has 72 divisors (see below), whose sum is σ = 5589868536. Its totient is φ = 688117248.

The previous prime is 2096856667. The next prime is 2096856673. The reversal of 2096856672 is 2766586902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096856673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833103 + ... + 3833649.

It is an arithmetic number, because the mean of its divisors is an integer number (77637063).

Almost surely, 22096856672 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 2096856672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794934268).

2096856672 is an abundant number, since it is smaller than the sum of its proper divisors (3493011864).

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

2096856672 is an frugal number, since it uses more digits than its factorization.

2096856672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 2096856672 is about 45791.4475857665. The cubic root of 2096856672 is about 1279.9399125439.

The spelling of 2096856672 in words is "two billion, ninety-six million, eight hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 547 584 876 1094 1168 1641 1752 2188 2336 3282 3504 4376 6564 7008 8752 13128 17504 26256 39931 52512 79862 119793 159724 239586 299209 319448 479172 598418 638896 897627 958344 1196836 1277792 1795254 1916688 2393672 3590508 3833376 4787344 7181016 9574688 14362032 21842257 28724064 43684514 65526771 87369028 131053542 174738056 262107084 349476112 524214168 698952224 1048428336 2096856672