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2142662652 = 2233134335491
BaseRepresentation
bin111111110110110…
…0110111111111100
312112022210112121000
41333231212333330
513342010201102
6552340410300
7104045221614
oct17755467774
95468715530
102142662652
119aa528189
124b96a6990
13281ba7630
141647d3a44
15c819301c
hex7fb66ffc

2142662652 has 96 divisors (see below), whose sum is σ = 6121660160. Its totient is φ = 643930560.

The previous prime is 2142662633. The next prime is 2142662659. The reversal of 2142662652 is 2562662412.

2142662652 is a `hidden beast` number, since 2 + 1 + 4 + 26 + 626 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142662659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42627 + ... + 78117.

Almost surely, 22142662652 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 2142662652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060830080).

2142662652 is an abundant number, since it is smaller than the sum of its proper divisors (3978997508).

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

2142662652 is a wasteful number, since it uses less digits than its factorization.

2142662652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35552 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2142662652 is about 46288.9041996027. The cubic root of 2142662652 is about 1289.1929836127.

The spelling of 2142662652 in words is "two billion, one hundred forty-two million, six hundred sixty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 86 108 117 129 156 172 234 258 351 387 468 516 559 702 774 1118 1161 1404 1548 1677 2236 2322 3354 4644 5031 6708 10062 15093 20124 30186 35491 60372 70982 106473 141964 212946 319419 425892 461383 638838 922766 958257 1277676 1384149 1526113 1845532 1916514 2768298 3052226 3833028 4152447 4578339 5536596 6104452 8304894 9156678 12457341 13735017 16609788 18313356 19839469 24914682 27470034 39678938 41205051 49829364 54940068 59518407 79357876 82410102 119036814 164820204 178555221 238073628 357110442 535665663 714220884 1071331326 2142662652