Search a number
-
+
3782096136 = 2332713619463
BaseRepresentation
bin1110000101101110…
…0011010100001000
3100202120200101112200
43201123203110020
530221204034021
61423143240200
7162503200230
oct34133432410
910676611480
103782096136
111670992895
12896749060
13483739110
1427c430cc0
15172081126
hexe16e3508

3782096136 has 192 divisors, whose sum is σ = 12815013120. Its totient is φ = 981020160.

The previous prime is 3782096119. The next prime is 3782096141. The reversal of 3782096136 is 6316902873.

3782096136 is a `hidden beast` number, since 3 + 7 + 8 + 20 + 9 + 613 + 6 = 666.

It is a super-2 number, since 2×37820961362 = 28608502363892260992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3782096091 and 3782096100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394941 + ... + 404403.

It is an arithmetic number, because the mean of its divisors is an integer number (66744860).

Almost surely, 23782096136 is an apocalyptic number.

3782096136 is a gapful number since it is divisible by the number (36) 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 3782096136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407506560).

3782096136 is an abundant number, since it is smaller than the sum of its proper divisors (9032916984).

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

3782096136 is a wasteful number, since it uses less digits than its factorization.

3782096136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9556 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3782096136 is about 61498.7490604484. The cubic root of 3782096136 is about 1558.0361184537.

It can be divided in two parts, 37820 and 96136, that added together give a square (133956 = 3662).

The spelling of 3782096136 in words is "three billion, seven hundred eighty-two million, ninety-six thousand, one hundred thirty-six".