Search a number
-
+
11932726293780 = 2235198878771563
BaseRepresentation
bin1010110110100100110111…
…1010010111010100010100
31120020202110012201201220120
42231221031322113110110
53031001210412400110
641213452505031540
72341053036650145
oct255511572272424
946222405651816
1011932726293780
1138907059a8696
121408785a855b0
13687336036a26
142d37930c1acc
1515a5e6d3a870
hexada4de97514

11932726293780 has 24 divisors (see below), whose sum is σ = 33411633622752. Its totient is φ = 3182060344992.

The previous prime is 11932726293749. The next prime is 11932726293781. The reversal of 11932726293780 is 8739262723911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 198878771563 = 11932726293780 / (1 + 1 + 9 + 3 + 2 + 7 + 2 + 6 + 2 + 9 + 3 + 7 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11932726293781) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 99439385722 + ... + 99439385841.

It is an arithmetic number, because the mean of its divisors is an integer number (1392151400948).

Almost surely, 211932726293780 is an apocalyptic number.

11932726293780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11932726293780 is an abundant number, since it is smaller than the sum of its proper divisors (21478907328972).

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

11932726293780 is a wasteful number, since it uses less digits than its factorization.

11932726293780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198878771575 (or 198878771573 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 11932726293780 in words is "eleven trillion, nine hundred thirty-two billion, seven hundred twenty-six million, two hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 198878771563 397757543126 596636314689 795515086252 994393857815 1193272629378 1988787715630 2386545258756 2983181573445 3977575431260 5966363146890 11932726293780