Search a number
-
+
2697264016 = 2419291631877
BaseRepresentation
bin1010000011000100…
…1111101110010000
320221222101012122021
42200301033232100
521010444422031
61123351421224
7123561236326
oct24061175620
96858335567
102697264016
111164598417
12633384814
1333ca69315
141b831dd16
1510bbe4511
hexa0c4fb90

2697264016 has 80 divisors (see below), whose sum is σ = 5728651200. Its totient is φ = 1225373184.

The previous prime is 2697263983. The next prime is 2697264029. The reversal of 2697264016 is 6104627962.

It is a happy 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, 1436070 + ... + 1437946.

It is an arithmetic number, because the mean of its divisors is an integer number (71608140).

Almost surely, 22697264016 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 2697264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864325600).

2697264016 is an abundant number, since it is smaller than the sum of its proper divisors (3031387184).

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

2697264016 is a wasteful number, since it uses less digits than its factorization.

2697264016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2697264016 is about 51935.1905358977. The cubic root of 2697264016 is about 1392.0061462053.

The spelling of 2697264016 in words is "two billion, six hundred ninety-seven million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 163 232 304 326 464 551 652 1102 1304 1877 2204 2608 3097 3754 4408 4727 6194 7508 8816 9454 12388 15016 18908 24776 30032 35663 37816 49552 54433 71326 75632 89813 108866 142652 179626 217732 285304 305951 359252 435464 570608 611902 718504 870928 1034227 1223804 1437008 2068454 2447608 4136908 4895216 5813069 8273816 8872579 11626138 16547632 17745158 23252276 35490316 46504552 70980632 93009104 141961264 168579001 337158002 674316004 1348632008 2697264016