Search a number
-
+
2695961712 = 243431399397
BaseRepresentation
bin1010000010110001…
…0001110001110000
320221212221001012210
42200230101301300
521010131233322
61123303452120
7123544203453
oct24054216160
96855831183
102695961712
111163888a34
12632a57040
1333c701622
141b80a149a
1510ba3870c
hexa0b11c70

2695961712 has 80 divisors (see below), whose sum is σ = 7178568320. Its totient is φ = 871347456.

The previous prime is 2695961659. The next prime is 2695961729. The reversal of 2695961712 is 2171695962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 282198 + ... + 291594.

It is an arithmetic number, because the mean of its divisors is an integer number (89732104).

Almost surely, 22695961712 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 2695961712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589284160).

2695961712 is an abundant number, since it is smaller than the sum of its proper divisors (4482606608).

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

2695961712 is a wasteful number, since it uses less digits than its factorization.

2695961712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9584 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 2695961712 is about 51922.6512420158. The cubic root of 2695961712 is about 1391.7820787803.

The spelling of 2695961712 in words is "two billion, six hundred ninety-five million, nine hundred sixty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 139 172 258 278 344 417 516 556 688 834 1032 1112 1668 2064 2224 3336 5977 6672 9397 11954 17931 18794 23908 28191 35862 37588 47816 56382 71724 75176 95632 112764 143448 150352 225528 286896 404071 451056 808142 1212213 1306183 1616284 2424426 2612366 3232568 3918549 4848852 5224732 6465136 7837098 9697704 10449464 15674196 19395408 20898928 31348392 56165869 62696784 112331738 168497607 224663476 336995214 449326952 673990428 898653904 1347980856 2695961712