Search a number
-
+
12053186800 = 2452231737573
BaseRepresentation
bin10110011100110110…
…10000100011110000
31011010000012022220221
423032123100203300
5144141103434200
65312005342424
7604455253204
oct131633204360
934100168827
1012053186800
115125789706
122404707a14
1311a11975c5
14824b04b04
154a827991a
hex2ce6d08f0

12053186800 has 120 divisors (see below), whose sum is σ = 30395492064. Its totient is φ = 4584391680.

The previous prime is 12053186791. The next prime is 12053186819. The reversal of 12053186800 is 868135021.

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, 1587814 + ... + 1595386.

Almost surely, 212053186800 is an apocalyptic number.

12053186800 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 12053186800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197746032).

12053186800 is an abundant number, since it is smaller than the sum of its proper divisors (18342305264).

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

12053186800 is a wasteful number, since it uses less digits than its factorization.

12053186800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 12053186800 in words is "twelve billion, fifty-three million, one hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 173 184 200 230 346 368 400 460 575 692 865 920 1150 1384 1730 1840 2300 2768 3460 3979 4325 4600 6920 7573 7958 8650 9200 13840 15146 15916 17300 19895 30292 31832 34600 37865 39790 60584 63664 69200 75730 79580 99475 121168 151460 159160 174179 189325 198950 302920 318320 348358 378650 397900 605840 696716 757300 795800 870895 1310129 1393432 1514600 1591600 1741790 2620258 2786864 3029200 3483580 4354475 5240516 6550645 6967160 8708950 10481032 13101290 13934320 17417900 20962064 26202580 30132967 32753225 34835800 52405160 60265934 65506450 69671600 104810320 120531868 131012900 150664835 241063736 262025800 301329670 482127472 524051600 602659340 753324175 1205318680 1506648350 2410637360 3013296700 6026593400 12053186800