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2101664656 = 247132116841
BaseRepresentation
bin111110101000100…
…1101101110010000
312102110122121220201
41331101031232100
513301011232111
6544313544544
7103036566130
oct17521155620
95373577821
102101664656
11989375843
124a7a15154
13276551770
1415d1a0ac0
15c47956c1
hex7d44db90

2101664656 has 80 divisors (see below), whose sum is σ = 5036149888. Its totient is φ = 827366400.

The previous prime is 2101664641. The next prime is 2101664683. The reversal of 2101664656 is 6564661012.

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, 303796 + ... + 310636.

Almost surely, 22101664656 is an apocalyptic number.

2101664656 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 2101664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518074944).

2101664656 is an abundant number, since it is smaller than the sum of its proper divisors (2934485232).

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

2101664656 is a wasteful number, since it uses less digits than its factorization.

2101664656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2101664656 is about 45843.9162375991. The cubic root of 2101664656 is about 1280.9174444749.

The spelling of 2101664656 in words is "two billion, one hundred one million, six hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 211 364 422 728 844 1456 1477 1688 2743 2954 3376 5486 5908 6841 10972 11816 13682 19201 21944 23632 27364 38402 43888 47887 54728 76804 88933 95774 109456 153608 177866 191548 307216 355732 383096 622531 711464 766192 1245062 1422928 1443451 2490124 2886902 4980248 5773804 9960496 10104157 11547608 18764863 20208314 23095216 37529726 40416628 75059452 80833256 131354041 150118904 161666512 262708082 300237808 525416164 1050832328 2101664656