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2142329464 = 231191126723
BaseRepresentation
bin111111110110001…
…0101101001111000
312112022011121112201
41333230111221320
513341414020324
6552325315544
7104042333332
oct17754255170
95468147481
102142329464
119aa31a920
124b9565bb4
13281abba92
14164748452
15c8129444
hex7fb15a78

2142329464 has 32 divisors (see below), whose sum is σ = 4387011840. Its totient is φ = 972680800.

The previous prime is 2142329447. The next prime is 2142329479. The reversal of 2142329464 is 4649232412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66807 + ... + 93529.

It is an arithmetic number, because the mean of its divisors is an integer number (137094120).

Almost surely, 22142329464 is an apocalyptic number.

It is an amenable number.

2142329464 is an abundant number, since it is smaller than the sum of its proper divisors (2244682376).

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

2142329464 is a wasteful number, since it uses less digits than its factorization.

2142329464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27651 (or 27647 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 2142329464 is about 46285.3050546283. The cubic root of 2142329464 is about 1289.1261561852.

The spelling of 2142329464 in words is "two billion, one hundred forty-two million, three hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 911 1822 3644 7288 10021 20042 26723 40084 53446 80168 106892 213784 293953 587906 1175812 2351624 24344653 48689306 97378612 194757224 267791183 535582366 1071164732 2142329464