Search a number
-
+
123532368480 = 25325127967073
BaseRepresentation
bin111001100001100011…
…0100101101001100000
3102210212011221112002200
41303003012211221200
54010443241242410
6132425555213200
711632150543533
oct1630306455140
9383764845080
10123532368480
114843188a914
121bb368a7200
13b858c77a31
145d9c52ca1a
1533301583c0
hex1cc31a5a60

123532368480 has 144 divisors (see below), whose sum is σ = 421890094080. Its totient is φ = 32915718144.

The previous prime is 123532368469. The next prime is 123532368499. The reversal of 123532368480 is 84863235321.

123532368480 is a `hidden beast` number, since 1 + 2 + 3 + 532 + 36 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808224 + ... + 1875296.

It is an arithmetic number, because the mean of its divisors is an integer number (2929792320).

Almost surely, 2123532368480 is an apocalyptic number.

123532368480 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 123532368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210945047040).

123532368480 is an abundant number, since it is smaller than the sum of its proper divisors (298357725600).

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

123532368480 is a wasteful number, since it uses less digits than its factorization.

123532368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68373 (or 68362 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 123532368480 in words is "one hundred twenty-three billion, five hundred thirty-two million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1279 1440 2558 3837 5116 6395 7674 10232 11511 12790 15348 19185 20464 23022 25580 30696 38370 40928 46044 51160 57555 61392 67073 76740 92088 102320 115110 122784 134146 153480 184176 201219 204640 230220 268292 306960 335365 368352 402438 460440 536584 603657 613920 670730 804876 920880 1006095 1073168 1207314 1341460 1609752 1841760 2012190 2146336 2414628 2682920 3018285 3219504 4024380 4829256 5365840 6036570 6439008 8048760 9658512 10731680 12073140 16097520 19317024 24146280 32195040 48292560 85786367 96585120 171572734 257359101 343145468 428931835 514718202 686290936 772077303 857863670 1029436404 1286795505 1372581872 1544154606 1715727340 2058872808 2573591010 2745163744 3088309212 3431454680 3860386515 4117745616 5147182020 6176618424 6862909360 7720773030 8235491232 10294364040 12353236848 13725818720 15441546060 20588728080 24706473696 30883092120 41177456160 61766184240 123532368480