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2660666900 = 2252193533967
BaseRepresentation
bin1001111010010110…
…1000111000010100
320212102111212211112
42132211220320110
520422112320100
61120003154152
7122635203233
oct23645507024
96772455745
102660666900
111145971471
12623075958
133352c4618
141b3514b1a
151088b5b35
hex9e968e14

2660666900 has 72 divisors (see below), whose sum is σ = 6096276480. Its totient is φ = 1005143040.

The previous prime is 2660666893. The next prime is 2660666903. The reversal of 2660666900 is 96660662.

It is a super-2 number, since 2×26606669002 = 14158296705511220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660666903) 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, 668717 + ... + 672683.

Almost surely, 22660666900 is an apocalyptic number.

2660666900 is a gapful number since it is divisible by the number (20) 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 2660666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048138240).

2660666900 is an abundant number, since it is smaller than the sum of its proper divisors (3435609580).

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

2660666900 is a wasteful number, since it uses less digits than its factorization.

2660666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 2660666900 is about 51581.6527459134. The cubic root of 2660666900 is about 1385.6817662887.

The spelling of 2660666900 in words is "two billion, six hundred sixty million, six hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 353 380 475 706 950 1412 1765 1900 3530 3967 6707 7060 7934 8825 13414 15868 17650 19835 26828 33535 35300 39670 67070 75373 79340 99175 134140 150746 167675 198350 301492 335350 376865 396700 670700 753730 1400351 1507460 1884325 2800702 3768650 5601404 7001755 7537300 14003510 26606669 28007020 35008775 53213338 70017550 106426676 133033345 140035100 266066690 532133380 665166725 1330333450 2660666900