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11055792972 = 22372151239521
BaseRepresentation
bin10100100101111101…
…00000001101001100
31001112111102110210210
422102332200031030
5140120240333342
65025020002420
7540654455400
oct122276401514
931474373723
1011055792972
114763785994
122186690410
131072660743
1476c475100
1544a91079c
hex292fa034c

11055792972 has 144 divisors (see below), whose sum is σ = 30391925760. Its totient is φ = 3118752000.

The previous prime is 11055792961. The next prime is 11055793037. The reversal of 11055792972 is 27929755011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21220072 + ... + 21220592.

It is an arithmetic number, because the mean of its divisors is an integer number (211055040).

Almost surely, 211055792972 is an apocalyptic number.

11055792972 is a gapful number since it is divisible by the number (12) 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 11055792972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195962880).

11055792972 is an abundant number, since it is smaller than the sum of its proper divisors (19336132788).

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

11055792972 is a wasteful number, since it uses less digits than its factorization.

11055792972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 48.

The spelling of 11055792972 in words is "eleven billion, fifty-five million, seven hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 239 294 302 453 478 521 588 604 717 906 956 1042 1057 1434 1563 1673 1812 2084 2114 2868 3126 3171 3346 3647 4228 5019 6252 6342 6692 7294 7399 10038 10941 11711 12684 14588 14798 20076 21882 22197 23422 25529 29596 35133 36089 43764 44394 46844 51058 70266 72178 76587 78671 88788 102116 108267 124519 140532 144356 153174 157342 216534 236013 249038 252623 306348 314684 373557 433068 472026 498076 505246 550697 747114 757869 871633 944052 1010492 1101394 1494228 1515738 1652091 1743266 1768361 2202788 2614899 3031476 3304182 3486532 3536722 3854879 5229798 5305083 6101431 6608364 7073444 7709758 10459596 10610166 11564637 12202862 15419516 18304293 18802369 21220332 23129274 24405724 36608586 37604738 46258548 56407107 73217172 75209476 112814214 131616583 225628428 263233166 394849749 526466332 789699498 921316081 1579398996 1842632162 2763948243 3685264324 5527896486 11055792972