Search a number
-
+
36831378780 = 2235571922999
BaseRepresentation
bin100010010011010100…
…100011110101011100
310112001211201220100000
4202103110203311130
51100412313110110
624530424134300
72442500361030
oct422324436534
9115054656300
1036831378780
1114690398019
12717a907390
13361c77c471
141ad58301c0
15e587361c0
hex893523d5c

36831378780 has 432 divisors, whose sum is σ = 139793472000. Its totient is φ = 7972857216.

The previous prime is 36831378767. The next prime is 36831378821. The reversal of 36831378780 is 8787313863.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12279721 + ... + 12282719.

It is an arithmetic number, because the mean of its divisors is an integer number (323596000).

Almost surely, 236831378780 is an apocalyptic number.

36831378780 is a gapful number since it is divisible by the number (30) 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 36831378780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736000).

36831378780 is an abundant number, since it is smaller than the sum of its proper divisors (102962093220).

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

36831378780 is a wasteful number, since it uses less digits than its factorization.

36831378780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 36831378780 in words is "thirty-six billion, eight hundred thirty-one million, three hundred seventy-eight thousand, seven hundred eighty".