Search a number
-
+
61339550399988 = 2237101131271203657
BaseRepresentation
bin11011111001001101110100…
…00111001011110111110100
322001012000002201210110102120
431330212322013023313310
531014441344400244423
6334243000032235540
715630431145445530
oct1574467207136764
9261160081713376
1061339550399988
11185a9a5909a183
126a6802339bbb0
13282c3aa83b573
141120bc8896bc0
157158b0c9eee3
hex37c9ba1cbdf4

61339550399988 has 192 divisors, whose sum is σ = 167067702337536. Its totient is φ = 17155981440000.

The previous prime is 61339550399971. The next prime is 61339550399989. The reversal of 61339550399988 is 88999305593316.

It is a happy number.

It is a super-4 number, since 4×613395503999884 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61339550399989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301088656 + ... + 301292312.

It is an arithmetic number, because the mean of its divisors is an integer number (870144283008).

Almost surely, 261339550399988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61339550399988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83533851168768).

61339550399988 is an abundant number, since it is smaller than the sum of its proper divisors (105728151937548).

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

61339550399988 is a wasteful number, since it uses less digits than its factorization.

61339550399988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204174 (or 204172 counting only the distinct ones).

The product of its (nonzero) digits is 1700611200, while the sum is 78.

The spelling of 61339550399988 in words is "sixty-one trillion, three hundred thirty-nine billion, five hundred fifty million, three hundred ninety-nine thousand, nine hundred eighty-eight".