Search a number
-
+
151553114136 = 233223241433877
BaseRepresentation
bin1000110100100101000…
…1010000000000011000
3112111011222220212221100
42031021101100000120
54440340044123021
6153342245111400
713643425133544
oct2151121200030
9474158825840
10151553114136
1159300866856
12254569b8560
13113a327a3c8
147499b5ca24
153e2011b626
hex2349450018

151553114136 has 192 divisors, whose sum is σ = 431564253120. Its totient is φ = 47954903040.

The previous prime is 151553114101. The next prime is 151553114203. The reversal of 151553114136 is 631411355151.

151553114136 is a `hidden beast` number, since 1 + 51 + 5 + 531 + 1 + 41 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151553114136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172808130 + ... + 172809006.

It is an arithmetic number, because the mean of its divisors is an integer number (2247730485).

Almost surely, 2151553114136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151553114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215782126560).

151553114136 is an abundant number, since it is smaller than the sum of its proper divisors (280011138984).

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

151553114136 is a wasteful number, since it uses less digits than its factorization.

151553114136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

Adding to 151553114136 its reverse (631411355151), we get a palindrome (782964469287).

The spelling of 151553114136 in words is "one hundred fifty-one billion, five hundred fifty-three million, one hundred fourteen thousand, one hundred thirty-six".