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2690961372 = 22331113671657
BaseRepresentation
bin1010000001100100…
…1100111111011100
320221112112000001000
42200121030333130
521002341230442
61123004350300
7123453536301
oct24031147734
96845460030
102690961372
111160a83120
12631245390
1333b670648
141b755d0a8
1510b39bd4c
hexa064cfdc

2690961372 has 96 divisors (see below), whose sum is σ = 7620963840. Its totient is φ = 814354560.

The previous prime is 2690961341. The next prime is 2690961391. The reversal of 2690961372 is 2731690962.

It is a happy number.

2690961372 is a `hidden beast` number, since 26 + 9 + 0 + 9 + 613 + 7 + 2 = 666.

2690961372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26909613722 = 14482546211192244768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623168 + ... + 1624824.

It is an arithmetic number, because the mean of its divisors is an integer number (79385040).

Almost surely, 22690961372 is an apocalyptic number.

2690961372 is a gapful number since it is divisible by the number (22) 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 2690961372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810481920).

2690961372 is an abundant number, since it is smaller than the sum of its proper divisors (4930002468).

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

2690961372 is a wasteful number, since it uses less digits than its factorization.

2690961372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2690961372 is about 51874.4770768824. The cubic root of 2690961372 is about 1390.9210761122.

The spelling of 2690961372 in words is "two billion, six hundred ninety million, nine hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1367 1657 2734 3314 4101 4971 5468 6628 8202 9942 12303 14913 15037 16404 18227 19884 24606 29826 30074 36454 36909 44739 45111 49212 54681 59652 60148 72908 73818 89478 90222 109362 135333 147636 164043 178956 180444 218724 270666 328086 405999 492129 541332 656172 811998 984258 1623996 1968516 2265119 4530238 6795357 9060476 13590714 20386071 24916309 27181428 40772142 49832618 61158213 74748927 81544284 99665236 122316426 149497854 224246781 244632852 298995708 448493562 672740343 896987124 1345480686 2690961372