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12535053400 = 23521672631427
BaseRepresentation
bin10111010110010010…
…11011110001011000
31012100120220200122001
423223021123301120
5201132433202100
65431501410344
7622426124122
oct135311336130
935316820561
1012535053400
115352790171
122519b699b4
131249c70a7c
1486cada212
154d570ed6a
hex2eb25bc58

12535053400 has 96 divisors (see below), whose sum is σ = 29450615040. Its totient is φ = 4961567360.

The previous prime is 12535053397. The next prime is 12535053403. The reversal of 12535053400 is 435053521.

It is an interprime number because it is at equal distance from previous prime (12535053397) and next prime (12535053403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535053403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8783487 + ... + 8784913.

It is an arithmetic number, because the mean of its divisors is an integer number (306777240).

Almost surely, 212535053400 is an apocalyptic number.

12535053400 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 12535053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725307520).

12535053400 is an abundant number, since it is smaller than the sum of its proper divisors (16915561640).

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

12535053400 is a wasteful number, since it uses less digits than its factorization.

12535053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

It can be divided in two parts, 1253505 and 3400, that added together give a triangular number (1256905 = T1585).

The spelling of 12535053400 in words is "twelve billion, five hundred thirty-five million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 263 334 526 668 835 1052 1315 1336 1427 1670 2104 2630 2854 3340 4175 5260 5708 6575 6680 7135 8350 10520 11416 13150 14270 16700 26300 28540 33400 35675 43921 52600 57080 71350 87842 142700 175684 219605 238309 285400 351368 375301 439210 476618 750602 878420 953236 1098025 1191545 1501204 1756840 1876505 1906472 2196050 2383090 3002408 3753010 4392100 4766180 5957725 7506020 8784200 9382525 9532360 11915450 15012040 18765050 23830900 37530100 47661800 62675267 75060200 125350534 250701068 313376335 501402136 626752670 1253505340 1566881675 2507010680 3133763350 6267526700 12535053400