Search a number
-
+
11869103303232 = 263753787211723
BaseRepresentation
bin1010110010110111110110…
…1011111010101001000000
31120000200020012211221110020
42230231331223322221000
53023430410421200412
641124331335333440
72333341305314610
oct254557553725100
946020205757406
1011869103303232
11386672742a16a
1213b838a821280
13681336b0a066
142d06793b6a40
15158b214d418c
hexacb7dafaa40

11869103303232 has 224 divisors, whose sum is σ = 36613712489472. Its totient is φ = 3322944608256.

The previous prime is 11869103303209. The next prime is 11869103303287. The reversal of 11869103303232 is 23230330196811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×118691033032322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55953723 + ... + 56165445.

Almost surely, 211869103303232 is an apocalyptic number.

11869103303232 is a gapful number since it is divisible by the number (12) 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 11869103303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306856244736).

11869103303232 is an abundant number, since it is smaller than the sum of its proper divisors (24744609186240).

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

11869103303232 is a wasteful number, since it uses less digits than its factorization.

11869103303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212585 (or 212575 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 11869103303232 in words is "eleven trillion, eight hundred sixty-nine billion, one hundred three million, three hundred three thousand, two hundred thirty-two".