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125005643420 = 2257341334409
BaseRepresentation
bin111010001101011101…
…0101011111010011100
3102221122212011122101012
41310122322223322130
54022002421042140
6133232104434352
712013520303000
oct1643272537234
9387585148335
10125005643420
1149018477109
12202881789b8
13ba32270858
14609c076700
1533b9674265
hex1d1aeabe9c

125005643420 has 96 divisors (see below), whose sum is σ = 306279792000. Its totient is φ = 42838989312.

The previous prime is 125005643419. The next prime is 125005643449. The reversal of 125005643420 is 24346500521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28350176 + ... + 28354584.

It is an arithmetic number, because the mean of its divisors is an integer number (3190414500).

Almost surely, 2125005643420 is an apocalyptic number.

125005643420 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 125005643420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153139896000).

125005643420 is an abundant number, since it is smaller than the sum of its proper divisors (181274148580).

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

125005643420 is a wasteful number, since it uses less digits than its factorization.

125005643420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8572 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 125005643420 in words is "one hundred twenty-five billion, five million, six hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 4133 4409 6860 8266 8818 16532 17636 20665 22045 28931 30863 41330 44090 57862 61726 82660 88180 115724 123452 144655 154315 202517 216041 289310 308630 405034 432082 578620 617260 810068 864164 1012585 1080205 1417619 1512287 2025170 2160410 2835238 3024574 4050340 4320820 5670476 6049148 7088095 7561435 14176190 15122870 18222397 28352380 30245740 36444794 72889588 91111985 127556779 182223970 255113558 364447940 510227116 637783895 892897453 1275567790 1785794906 2551135580 3571589812 4464487265 6250282171 8928974530 12500564342 17857949060 25001128684 31251410855 62502821710 125005643420