Search a number
-
+
67932276746490 = 2365136135333289
BaseRepresentation
bin11110111001000101101110…
…01110010110100011111010
322220112021002011112012000000
433130202313032112203322
532401000300321341430
6400251353534053430
720210642101000122
oct1734426716264372
9286467064465000
1067932276746490
111a710a0a261642
12775189204a276
132bb9ca891ab80
1412abd228d7c82
157cc11b233e60
hex3dc8b73968fa

67932276746490 has 448 divisors, whose sum is σ = 201247015929120. Its totient is φ = 16400576839680.

The previous prime is 67932276746489. The next prime is 67932276746539. The reversal of 67932276746490 is 9464767223976.

67932276746490 is a `hidden beast` number, since 6 + 7 + 9 + 3 + 2 + 2 + 76 + 7 + 464 + 90 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17135054581401 + 50797222165089 = 4139451^2 + 7127217^2 .

It is a super-2 number, since 2×679322767464902 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2040665766 + ... + 2040699054.

Almost surely, 267932276746490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67932276746490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623507964560).

67932276746490 is an abundant number, since it is smaller than the sum of its proper divisors (133314739182630).

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

67932276746490 is a wasteful number, since it uses less digits than its factorization.

67932276746490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741 (or 33726 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 67932276746490 in words is "sixty-seven trillion, nine hundred thirty-two billion, two hundred seventy-six million, seven hundred forty-six thousand, four hundred ninety".