Search a number
-
+
125784823428 = 223311859123259
BaseRepresentation
bin111010100100101011…
…1000001011010000100
3110000200011100002102000
41311021113001122010
54030101403322203
6133441301145300
712042031233555
oct1651127013204
9400604302360
10125784823428
1149388287630
12204650bb230
13bb27814004
14613374232c
153412c874a3
hex1d495c1684

125784823428 has 96 divisors (see below), whose sum is σ = 356172096000. Its totient is φ = 38071931040.

The previous prime is 125784823427. The next prime is 125784823523. The reversal of 125784823428 is 824328487521.

It is a happy number.

125784823428 is a `hidden beast` number, since 1 + 2 + 578 + 4 + 8 + 23 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (125784823427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958863 + ... + 1082121.

It is an arithmetic number, because the mean of its divisors is an integer number (3710126000).

Almost surely, 2125784823428 is an apocalyptic number.

125784823428 is a gapful number since it is divisible by the number (18) 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 125784823428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178086048000).

125784823428 is an abundant number, since it is smaller than the sum of its proper divisors (230387272572).

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

125784823428 is a wasteful number, since it uses less digits than its factorization.

125784823428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124142 (or 124134 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 125784823428 in words is "one hundred twenty-five billion, seven hundred eighty-four million, eight hundred twenty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 859 1188 1718 2577 3436 5154 7731 9449 10308 15462 18898 23193 28347 30924 37796 46386 56694 85041 92772 113388 123259 170082 246518 255123 340164 369777 493036 510246 739554 1020492 1109331 1355849 1479108 2218662 2711698 3327993 4067547 4437324 5423396 6655986 8135094 12202641 13311972 16270188 24405282 36607923 48810564 73215846 105879481 146431692 211758962 317638443 423517924 635276886 952915329 1164674291 1270553772 1905830658 2329348582 2858745987 3494022873 3811661316 4658697164 5717491974 6988045746 10482068619 11434983948 13976091492 20964137238 31446205857 41928274476 62892411714 125784823428