Search a number
-
+
151236356064 = 25310115597809
BaseRepresentation
bin1000110011011001100…
…0111010011111100000
3112110100220212220112220
42030312120322133200
54434213001343224
6153251011551040
713632530546613
oct2146630723740
9473326786486
10151236356064
1159158a86822
12253888bb480
13113527629b1
147469a6617a
153e023ec279
hex233663a7e0

151236356064 has 48 divisors (see below), whose sum is σ = 400926108240. Its totient is φ = 49912985600.

The previous prime is 151236356057. The next prime is 151236356087. The reversal of 151236356064 is 460653632151.

151236356064 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 (48).

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, 7789209 + ... + 7808600.

It is an arithmetic number, because the mean of its divisors is an integer number (8352627255).

Almost surely, 2151236356064 is an apocalyptic number.

It is an amenable number.

151236356064 is an abundant number, since it is smaller than the sum of its proper divisors (249689752176).

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

151236356064 is a wasteful number, since it uses less digits than its factorization.

151236356064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15597923 (or 15597915 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 151236356064 in words is "one hundred fifty-one billion, two hundred thirty-six million, three hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 15597809 31195618 46793427 62391236 93586854 124782472 187173708 249564944 374347416 499129888 748694832 1497389664 1575378709 3150757418 4726136127 6301514836 9452272254 12603029672 18904544508 25206059344 37809089016 50412118688 75618178032 151236356064