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1048682863488 = 273131717371429
BaseRepresentation
bin11110100001010100101…
…11101001101110000000
310201020211111211010111010
433100222113221232000
5114140200303112423
62121431441120520
7135523224156441
oct17205227515600
93636744733433
101048682863488
11374820156877
1214b2a9929140
1377b761b0640
1438a83c752c8
151c42a683693
hexf42a5e9b80

1048682863488 has 256 divisors, whose sum is σ = 3194703892800. Its totient is φ = 301931298816.

The previous prime is 1048682863463. The next prime is 1048682863489. The reversal of 1048682863488 is 8843682868401.

It is a super-3 number, since 3×10486828634883 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048682863489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14645758 + ... + 14717186.

Almost surely, 21048682863488 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 1048682863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597351946400).

1048682863488 is an abundant number, since it is smaller than the sum of its proper divisors (2146021029312).

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

1048682863488 is a wasteful number, since it uses less digits than its factorization.

1048682863488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71649 (or 71637 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 66.

The spelling of 1048682863488 in words is "one trillion, forty-eight billion, six hundred eighty-two million, eight hundred sixty-three thousand, four hundred eighty-eight".