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11426454909120 = 263530013966197
BaseRepresentation
bin1010011001000110110111…
…0010010011000011000000
31111110100200021210200020010
42212101231302103003000
52444202334424042440
640145124012144520
72256351130123266
oct246215562230300
944410607720203
1011426454909120
113705a28a00069
121346634768140
1364b682831074
142b7087008436
1514c365864580
hexa646dc930c0

11426454909120 has 112 divisors (see below), whose sum is σ = 36291092455008. Its totient is φ = 3046038528000.

The previous prime is 11426454909071. The next prime is 11426454909139. The reversal of 11426454909120 is 2190945462411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11426454909120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897862 + ... + 4864058.

Almost surely, 211426454909120 is an apocalyptic number.

11426454909120 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 11426454909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145546227504).

11426454909120 is an abundant number, since it is smaller than the sum of its proper divisors (24864637545888).

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

11426454909120 is a wasteful number, since it uses less digits than its factorization.

11426454909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969218 (or 3969208 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 11426454909120 in words is "eleven trillion, four hundred twenty-six billion, four hundred fifty-four million, nine hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3001 6002 9003 12004 15005 18006 24008 30010 36012 45015 48016 60020 72024 90030 96032 120040 144048 180060 192064 240080 288096 360120 480160 576192 720240 960320 1440480 2880960 3966197 7932394 11898591 15864788 19830985 23797182 31729576 39661970 47594364 59492955 63459152 79323940 95188728 118985910 126918304 158647880 190377456 237971820 253836608 317295760 380754912 475943640 634591520 761509824 951887280 1269183040 1903774560 3807549120 11902557197 23805114394 35707671591 47610228788 59512785985 71415343182 95220457576 119025571970 142830686364 178538357955 190440915152 238051143940 285661372728 357076715910 380881830304 476102287880 571322745456 714153431820 761763660608 952204575760 1142645490912 1428306863640 1904409151520 2285290981824 2856613727280 3808818303040 5713227454560 11426454909120