Search a number
-
+
13976930588220 = 22345128317593823
BaseRepresentation
bin1100101101100100000111…
…1110111001011000111100
31211111011220022202102010000
43023121001332321120330
53312444223212310340
645420525133314300
72641541240524215
oct313310176713074
954434808672100
1013976930588220
1144a9645a37116
1216989a5935990
137a50326a0c32
143646b667240c
1519388a97bd30
hexcb641fb963c

13976930588220 has 240 divisors, whose sum is σ = 43916754309120. Its totient is φ = 3721185546624.

The previous prime is 13976930588123. The next prime is 13976930588239. The reversal of 13976930588220 is 2288503967931.

13976930588220 is a `hidden beast` number, since 1 + 39 + 76 + 9 + 305 + 8 + 8 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3656009229 + ... + 3656013051.

It is an arithmetic number, because the mean of its divisors is an integer number (182986476288).

Almost surely, 213976930588220 is an apocalyptic number.

13976930588220 is a gapful number since it is divisible by the number (10) 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 13976930588220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958377154560).

13976930588220 is an abundant number, since it is smaller than the sum of its proper divisors (29939823720900).

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

13976930588220 is a wasteful number, since it uses less digits than its factorization.

13976930588220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 13976930588220 in words is "thirteen trillion, nine hundred seventy-six billion, nine hundred thirty million, five hundred eighty-eight thousand, two hundred twenty".