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2159995632 = 243293893989
BaseRepresentation
bin1000000010111110…
…1110101011110000
312120112102010222020
42000233232223300
513410424330012
6554200111440
7104345442234
oct20057565360
95515363866
102159995632
11a09296763
12503465580
13285665b32
14166c265c4
15c9968a8c
hex80beeaf0

2159995632 has 80 divisors (see below), whose sum is σ = 5788692000. Its totient is φ = 693210112.

The previous prime is 2159995627. The next prime is 2159995633. The reversal of 2159995632 is 2365999512.

2159995632 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 2×21599956322 = 9331162260518158848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159995633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539494 + ... + 543482.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 22159995632 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 2159995632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346000).

2159995632 is an abundant number, since it is smaller than the sum of its proper divisors (3628696368).

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

2159995632 is a wasteful number, since it uses less digits than its factorization.

2159995632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4412 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 51.

The square root of 2159995632 is about 46475.7531622673. The cubic root of 2159995632 is about 1292.6599426694.

The spelling of 2159995632 in words is "two billion, one hundred fifty-nine million, nine hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 389 464 696 778 1167 1392 1556 2334 3112 3989 4668 6224 7978 9336 11281 11967 15956 18672 22562 23934 31912 33843 45124 47868 63824 67686 90248 95736 115681 135372 180496 191472 231362 270744 347043 462724 541488 694086 925448 1388172 1551721 1850896 2776344 3103442 4655163 5552688 6206884 9310326 12413768 18620652 24827536 37241304 44999909 74482608 89999818 134999727 179999636 269999454 359999272 539998908 719998544 1079997816 2159995632