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134815415376 = 2437382946411
BaseRepresentation
bin111110110001110011…
…1111111110001010000
3110212222111222200200110
41331203213333301100
54202100221243001
6141533334121320
712511565060145
oct1754347776120
9425874880613
10134815415376
11521a1872a64
12221654b0240
13c936715845
14674cc3c3cc
1537909a83d6
hex1f639ffc50

134815415376 has 80 divisors (see below), whose sum is σ = 353477504960. Its totient is φ = 44268456960.

The previous prime is 134815415347. The next prime is 134815415387. The reversal of 134815415376 is 673514518431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881611 + ... + 2928021.

It is an arithmetic number, because the mean of its divisors is an integer number (4418468812).

Almost surely, 2134815415376 is an apocalyptic number.

134815415376 is a gapful number since it is divisible by the number (16) 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 134815415376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176738752480).

134815415376 is an abundant number, since it is smaller than the sum of its proper divisors (218662089584).

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

134815415376 is a wasteful number, since it uses less digits than its factorization.

134815415376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47324 (or 47318 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 134815415376 in words is "one hundred thirty-four billion, eight hundred fifteen million, four hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 829 876 1168 1658 1752 2487 3316 3504 4974 6632 9948 13264 19896 39792 46411 60517 92822 121034 139233 181551 185644 242068 278466 363102 371288 484136 556932 726204 742576 968272 1113864 1452408 2227728 2904816 3388003 6776006 10164009 13552012 20328018 27104024 38474719 40656036 54208048 76949438 81312072 115424157 153898876 162624144 230848314 307797752 461696628 615595504 923393256 1846786512 2808654487 5617308974 8425963461 11234617948 16851926922 22469235896 33703853844 44938471792 67407707688 134815415376