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1082439557976 = 233723129691671
BaseRepresentation
bin11111100000001100110…
…11001110001101011000
310211110222001222212220010
433300012123032031120
5120213314011323401
62145133232201520
7141126601301400
oct17600633161530
93743861885803
101082439557976
11388072a02a97
1215594a9992a0
137b0c595988a
143a5671bb800
151d253ec1ed6
hexfc066ce358

1082439557976 has 96 divisors (see below), whose sum is σ = 3249456583680. Its totient is φ = 299292033600.

The previous prime is 1082439557909. The next prime is 1082439557977. The reversal of 1082439557976 is 6797559342801.

It is a happy number.

1082439557976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082439557977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14809380 + ... + 14882291.

It is an arithmetic number, because the mean of its divisors is an integer number (33848506080).

It is a 1-persistent number, because it is pandigital, but 2⋅1082439557976 = 2164879115952 is not.

Almost surely, 21082439557976 is an apocalyptic number.

It is an amenable number.

1082439557976 is an abundant number, since it is smaller than the sum of its proper divisors (2167017025704).

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

1082439557976 is a wasteful number, since it uses less digits than its factorization.

1082439557976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29691725 (or 29691714 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 1082439557976 in words is "one trillion, eighty-two billion, four hundred thirty-nine million, five hundred fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1176 1302 1519 1736 2604 3038 4557 5208 6076 9114 12152 18228 36456 29691671 59383342 89075013 118766684 178150026 207841697 237533368 356300052 415683394 623525091 712600104 831366788 920441801 1247050182 1454891879 1662733576 1840883602 2494100364 2761325403 2909783758 3681767204 4364675637 4988200728 5522650806 5819567516 6443092607 7363534408 8729351274 11045301612 11639135032 12886185214 17458702548 19329277821 22090603224 25772370428 34917405096 38658555642 45101648249 51544740856 77317111284 90203296498 135304944747 154634222568 180406592996 270609889494 360813185992 541219778988 1082439557976