Search a number
-
+
42201889152 = 273109900753
BaseRepresentation
bin100111010011011011…
…011011100110000000
311000221010022002120120
4213103123123212000
51142412140423102
631215352540240
73022542065463
oct472333334600
9130833262516
1042201889152
1116996958a45
1282193b1680
133c972c5a57
142084bbb2da
15116ee786bc
hex9d36db980

42201889152 has 32 divisors (see below), whose sum is σ = 112098769080. Its totient is φ = 14067296256.

The previous prime is 42201889151. The next prime is 42201889193. The reversal of 42201889152 is 25198810224.

42201889152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201889151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54949993 + ... + 54950760.

Almost surely, 242201889152 is an apocalyptic number.

It is an amenable number.

42201889152 is an abundant number, since it is smaller than the sum of its proper divisors (69896879928).

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

42201889152 is a wasteful number, since it uses less digits than its factorization.

42201889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109900770 (or 109900758 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 42201889152 in words is "forty-two billion, two hundred one million, eight hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 109900753 219801506 329702259 439603012 659404518 879206024 1318809036 1758412048 2637618072 3516824096 5275236144 7033648192 10550472288 14067296384 21100944576 42201889152