Search a number
-
+
61506101162076 = 22335879142855387
BaseRepresentation
bin11011111110000100000010…
…10011111011000001011100
322001202220222221102210122120
431333002001103323001130
531030203443344141301
6334451302433142540
715645445344534504
oct1577020123730134
9261686887383576
1061506101162076
11186636557108aa
126a943649baa50
132842000cc026c
141128ca83c6a04
15719dac8b8e36
hex37f0814fb05c

61506101162076 has 24 divisors (see below), whose sum is σ = 143518237000320. Its totient is φ = 20501462155632.

The previous prime is 61506101162063. The next prime is 61506101162081. The reversal of 61506101162076 is 67026110160516.

It is a happy number.

61506101162076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70997146 + ... + 71858241.

It is an arithmetic number, because the mean of its divisors is an integer number (5979926541680).

Almost surely, 261506101162076 is an apocalyptic number.

It is an amenable number.

61506101162076 is an abundant number, since it is smaller than the sum of its proper divisors (82012135838244).

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

61506101162076 is a wasteful number, since it uses less digits than its factorization.

61506101162076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142891273 (or 142891271 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 61506101162076 in words is "sixty-one trillion, five hundred six billion, one hundred one million, one hundred sixty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 12 35879 71758 107637 143516 215274 430548 142855387 285710774 428566161 571421548 857132322 1714264644 5125508430173 10251016860346 15376525290519 20502033720692 30753050581038 61506101162076