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2920152144 = 243713668533
BaseRepresentation
bin1010111000001101…
…1111110001010000
321112111210002200010
42232003133301100
521440024332034
61201432554520
7132235612050
oct25603376120
97474702603
102920152144
111269393588
12695b52a40
13376ca84a0
141d9b7d560
151215703e9
hexae0dfc50

2920152144 has 80 divisors (see below), whose sum is σ = 9284600192. Its totient is φ = 770148864.

The previous prime is 2920152133. The next prime is 2920152149. The reversal of 2920152144 is 4412510292.

2920152144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920152149) 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, 329899 + ... + 338634.

Almost surely, 22920152144 is an apocalyptic number.

2920152144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2920152144 is an abundant number, since it is smaller than the sum of its proper divisors (6364448048).

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

2920152144 is a wasteful number, since it uses less digits than its factorization.

2920152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668564 (or 668558 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2920152144 is about 54038.4321016071. The cubic root of 2920152144 is about 1429.3387237079.

The spelling of 2920152144 in words is "two billion, nine hundred twenty million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 668533 1337066 2005599 2674132 4011198 4679731 5348264 8022396 8690929 9359462 10696528 14039193 16044792 17381858 18718924 26072787 28078386 32089584 34763716 37437848 52145574 56156772 60836503 69527432 74875696 104291148 112313544 121673006 139054864 182509509 208582296 224627088 243346012 365019018 417164592 486692024 730038036 973384048 1460076072 2920152144