Search a number
-
+
61670488407616 = 261187600125579
BaseRepresentation
bin11100000010110110001111…
…00011011111111001000000
322002100122022101001010010001
432001123013203133321000
531040402130013020431
6335055010430245344
715663355123215154
oct1601330743377100
9262318271033101
1061670488407616
1118717341a61520
126b001a1956854
13285466b17565a
141132c20855064
1571e2ce5c0e61
hex3816c78dfe40

61670488407616 has 28 divisors (see below), whose sum is σ = 133502591383920. Its totient is φ = 28032040184960.

The previous prime is 61670488407613. The next prime is 61670488407629.

It is a happy number.

61670488407616 is nontrivially palindromic in base 10.

61670488407616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (61670488407613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43800062086 + ... + 43800063493.

Almost surely, 261670488407616 is an apocalyptic number.

It is an amenable number.

61670488407616 is an abundant number, since it is smaller than the sum of its proper divisors (71832102976304).

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

61670488407616 is a wasteful number, since it uses less digits than its factorization.

61670488407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87600125602 (or 87600125592 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 61670488407616 in words is "sixty-one trillion, six hundred seventy billion, four hundred eighty-eight million, four hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 87600125579 175200251158 350400502316 700801004632 963601381369 1401602009264 1927202762738 2803204018528 3854405525476 5606408037056 7708811050952 15417622101904 30835244203808 61670488407616