Search a number
-
+
37146135147 = 3114729098233
BaseRepresentation
bin100010100110000101…
…010000101001101011
310112212210000011220020
4202212011100221223
51102033402311042
625021550331523
72453341640052
oct424605205153
9115783004806
1037146135147
1114832030150
1272481b9ba3
13366ca45a34
141b25565399
15e761ac3ec
hex8a6150a6b

37146135147 has 32 divisors (see below), whose sum is σ = 55206005760. Its totient is φ = 22023563520.

The previous prime is 37146135137. The next prime is 37146135223. The reversal of 37146135147 is 74153164173.

It is not a de Polignac number, because 37146135147 - 220 = 37145086571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37146135099 and 37146135108.

It is not an unprimeable number, because it can be changed into a prime (37146135137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4507743 + ... + 4515975.

It is an arithmetic number, because the mean of its divisors is an integer number (1725187680).

Almost surely, 237146135147 is an apocalyptic number.

37146135147 is a deficient number, since it is larger than the sum of its proper divisors (18059870613).

37146135147 is a wasteful number, since it uses less digits than its factorization.

37146135147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203.

The product of its digits is 211680, while the sum is 42.

The spelling of 37146135147 in words is "thirty-seven billion, one hundred forty-six million, one hundred thirty-five thousand, one hundred forty-seven".

Divisors: 1 3 11 33 47 141 517 1551 2909 8233 8727 24699 31999 90563 95997 136723 271689 386951 410169 1160853 1503953 4256461 4511859 12769383 23949797 71849391 263447767 790343301 1125640459 3376921377 12382045049 37146135147