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151501380012 = 223253201739367
BaseRepresentation
bin1000110100011000101…
…1111001100110101100
3112111001101120112001200
42031012023321212230
54440233323130022
6153333200205500
713642226324313
oct2150613714654
9474041515050
10151501380012
1159284641184
1225441609890
13113956358b8
147492d3327a
153e1a7ecbac
hex23462f99ac

151501380012 has 72 divisors (see below), whose sum is σ = 390390882336. Its totient is φ = 49521798144.

The previous prime is 151501379989. The next prime is 151501380047. The reversal of 151501380012 is 210083105151.

151501380012 is a `hidden beast` number, since 1 + 515 + 0 + 138 + 0 + 0 + 12 = 666.

151501380012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3828753 + ... + 3868119.

It is an arithmetic number, because the mean of its divisors is an integer number (5422095588).

Almost surely, 2151501380012 is an apocalyptic number.

151501380012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151501380012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195195441168).

151501380012 is an abundant number, since it is smaller than the sum of its proper divisors (238889502324).

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

151501380012 is a wasteful number, since it uses less digits than its factorization.

151501380012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41447 (or 41442 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 151501380012 its reverse (210083105151), we get a palindrome (361584485163).

The spelling of 151501380012 in words is "one hundred fifty-one billion, five hundred one million, three hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2017 4034 6051 8068 12102 18153 24204 36306 39367 72612 78734 106901 118101 157468 213802 236202 320703 354303 427604 472404 641406 708606 962109 1282812 1417212 1924218 2086451 3848436 4172902 6259353 8345804 12518706 18778059 25037412 37556118 75112236 79403239 158806478 238209717 317612956 476419434 714629151 952838868 1429258302 2858516604 4208371667 8416743334 12625115001 16833486668 25250230002 37875345003 50500460004 75750690006 151501380012