Search a number
-
+
1048493372320 = 25561710620881
BaseRepresentation
bin11110100000111110001…
…00110011001110100000
310201020100022020222110201
433100133010303032200
5114134303300403240
62121400551434544
7135515433421162
oct17203704631640
93636308228421
101048493372320
113747331a12a9
1214b256385a54
1377b45b656a4
1438a66a2a932
151c418c02d9a
hexf41f1333a0

1048493372320 has 48 divisors (see below), whose sum is σ = 2481080518728. Its totient is φ = 418717573120.

The previous prime is 1048493372299. The next prime is 1048493372341. The reversal of 1048493372320 is 232733948401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1048493372299) and next prime (1048493372341).

It can be written as a sum of positive squares in 4 ways, for example, as 720984395664 + 327508976656 = 849108^2 + 572284^2 .

It is a super-2 number, since 2×10484933723202 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5211721 + ... + 5409160.

Almost surely, 21048493372320 is an apocalyptic number.

1048493372320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048493372320 is an abundant number, since it is smaller than the sum of its proper divisors (1432587146408).

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

1048493372320 is a wasteful number, since it uses less digits than its factorization.

1048493372320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621513 (or 10621505 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 1048493372320 in words is "one trillion, forty-eight billion, four hundred ninety-three million, three hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 617 1234 2468 3085 4936 6170 9872 12340 19744 24680 49360 98720 10620881 21241762 42483524 53104405 84967048 106208810 169934096 212417620 339868192 424835240 849670480 1699340960 6553083577 13106167154 26212334308 32765417885 52424668616 65530835770 104849337232 131061671540 209698674464 262123343080 524246686160 1048493372320