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1104828560640 = 283357101103439
BaseRepresentation
bin10000000100111100111…
…010011111010100000000
310220121202101212001201000
4100010330322133110000
5121100142102420030
62203315022212000
7142551452546550
oct20047472372400
93817671761630
101104828560640
11396611a13082
1215a158a24000
138025326c64c
143b68c89d160
151db14840860
hex1013ce9f500

1104828560640 has 1152 divisors, whose sum is σ = 4579397222400. Its totient is φ = 247040409600.

The previous prime is 1104828560603. The next prime is 1104828560707. The reversal of 1104828560640 is 460658284011.

It is a happy number.

1104828560640 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 8 + 28 + 560 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11048285606402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2516693541 + ... + 2516693979.

It is an arithmetic number, because the mean of its divisors is an integer number (3975171200).

Almost surely, 21104828560640 is an apocalyptic number.

1104828560640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104828560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289698611200).

1104828560640 is an abundant number, since it is smaller than the sum of its proper divisors (3474568661760).

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

1104828560640 is a wasteful number, since it uses less digits than its factorization.

1104828560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1104828560640 in words is "one trillion, one hundred four billion, eight hundred twenty-eight million, five hundred sixty thousand, six hundred forty".