Search a number
-
+
2550113991936 = 283371717331789
BaseRepresentation
bin100101000110111110101…
…000110111110100000000
3100000210021211101010101000
4211012332220313310000
5313240113140220221
65231301201012000
7352145126166240
oct45067650676400
910023254333330
102550113991936
118a355195a145
12352290024000
13156622c541c4
148b5d75d7b20
15465034c0e26
hex251bea37d00

2550113991936 has 576 divisors, whose sum is σ = 9135777369600. Its totient is φ = 684966150144.

The previous prime is 2550113991871. The next prime is 2550113991937. The reversal of 2550113991936 is 6391993110552.

2550113991936 is a `hidden beast` number, since 2 + 5 + 50 + 11 + 399 + 193 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×25501139919363 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550113991937) 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, 1425440130 + ... + 1425441918.

It is an arithmetic number, because the mean of its divisors is an integer number (15860724600).

Almost surely, 22550113991936 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 2550113991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567888684800).

2550113991936 is an abundant number, since it is smaller than the sum of its proper divisors (6585663377664).

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

2550113991936 is a wasteful number, since it uses less digits than its factorization.

2550113991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 2550113991936 in words is "two trillion, five hundred fifty billion, one hundred thirteen million, nine hundred ninety-one thousand, nine hundred thirty-six".