Search a number
-
+
2130635335452 = 22313374379710771
BaseRepresentation
bin11111000000010011110…
…000110010011100011100
321112200112122021110222120
4133000103300302130130
5234402020121213302
64310444513342540
7306635062351251
oct37002360623434
97480478243876
102130635335452
11751663112938
122a4b21567a50
13125bc1c57130
14751a249d428
153a6519dd9bc
hex1f013c3271c

2130635335452 has 192 divisors, whose sum is σ = 5634061407744. Its totient is φ = 622188241920.

The previous prime is 2130635335447. The next prime is 2130635335463. The reversal of 2130635335452 is 2545335360312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197806827 + ... + 197817597.

It is an arithmetic number, because the mean of its divisors is an integer number (29344069832).

Almost surely, 22130635335452 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 2130635335452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817030703872).

2130635335452 is an abundant number, since it is smaller than the sum of its proper divisors (3503426072292).

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

2130635335452 is a wasteful number, since it uses less digits than its factorization.

2130635335452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11666 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 2130635335452 in words is "two trillion, one hundred thirty billion, six hundred thirty-five million, three hundred thirty-five thousand, four hundred fifty-two".