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11994411360 = 253537218253
BaseRepresentation
bin10110010101110110…
…00011000101100000
31010221220121020011210
423022323003011200
5144031032130420
65302105510120
7603142546221
oct131273030540
933856536153
1011994411360
1150a5594868
1223a8aa2340
131191c58b39
1481ada5248
154a30199e0
hex2caec3160

11994411360 has 144 divisors (see below), whose sum is σ = 38833267536. Its totient is φ = 3111892992.

The previous prime is 11994411343. The next prime is 11994411367. The reversal of 11994411360 is 6311449911.

It is a Cunningham number, because it is equal to 1095192-1.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11994411367) 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, 647994 + ... + 666246.

It is an arithmetic number, because the mean of its divisors is an integer number (269675469).

Almost surely, 211994411360 is an apocalyptic number.

11994411360 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 11994411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416633768).

11994411360 is an abundant number, since it is smaller than the sum of its proper divisors (26838856176).

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

11994411360 is a wasteful number, since it uses less digits than its factorization.

11994411360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18345 (or 18300 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 11994411360 in words is "eleven billion, nine hundred ninety-four million, four hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1369 1480 1776 2220 2738 2960 3552 4107 4440 5476 5920 6845 8214 8880 10952 13690 16428 17760 18253 20535 21904 27380 32856 36506 41070 43808 54759 54760 65712 73012 82140 91265 109518 109520 131424 146024 164280 182530 219036 219040 273795 292048 328560 365060 438072 547590 584096 657120 675361 730120 876144 1095180 1350722 1460240 1752288 2026083 2190360 2701444 2920480 3376805 4052166 4380720 5402888 6753610 8104332 8761440 10130415 10805776 13507220 16208664 20260830 21611552 24988357 27014440 32417328 40521660 49976714 54028880 64834656 74965071 81043320 99953428 108057760 124941785 149930142 162086640 199906856 249883570 299860284 324173280 374825355 399813712 499767140 599720568 749650710 799627424 999534280 1199441136 1499301420 1999068560 2398882272 2998602840 3998137120 5997205680 11994411360