Search a number
-
+
11739313732608 = 2103571117231567
BaseRepresentation
bin1010101011010100010110…
…0111111111110000000000
31112120021012221212121200000
42222311011213333300000
53014314103303420413
640544544414400000
72321065065213150
oct252650547776000
945507187777600
1011739313732608
113816684616810
1213971a8500000
13672021701967
142c8285c46760
15155576d8a073
hexaad459ffc00

11739313732608 has 2112 divisors, whose sum is σ = 48452954554368. Its totient is φ = 2743283220480.

The previous prime is 11739313732603. The next prime is 11739313732609. The reversal of 11739313732608 is 80623731393711.

11739313732608 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 9 + 3 + 1 + 373 + 260 + 8 = 666.

11739313732608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×117393137326082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11739313732603) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7491584241 + ... + 7491585807.

Almost surely, 211739313732608 is an apocalyptic number.

11739313732608 is a gapful number since it is divisible by the number (18) 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 11739313732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24226477277184).

11739313732608 is an abundant number, since it is smaller than the sum of its proper divisors (36713640821760).

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

11739313732608 is a wasteful number, since it uses less digits than its factorization.

11739313732608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 11739313732608 in words is "eleven trillion, seven hundred thirty-nine billion, three hundred thirteen million, seven hundred thirty-two thousand, six hundred eight".