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11138228160 = 263583139787
BaseRepresentation
bin10100101111110001…
…11101111111000000
31001202020112121121220
422113320331333000
5140302341300120
65041122515040
7543005243253
oct122770757700
931666477556
1011138228160
1147a626a744
1221aa205a80
131086764367
147793b309a
15452c95b40
hex297e3dfc0

11138228160 has 112 divisors (see below), whose sum is σ = 35790201216. Its totient is φ = 2934387712.

The previous prime is 11138228149. The next prime is 11138228177. The reversal of 11138228160 is 6182283111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9787 + ... + 149573.

It is an arithmetic number, because the mean of its divisors is an integer number (319555368).

Almost surely, 211138228160 is an apocalyptic number.

11138228160 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 11138228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895100608).

11138228160 is an abundant number, since it is smaller than the sum of its proper divisors (24651973056).

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

11138228160 is a wasteful number, since it uses less digits than its factorization.

11138228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139890 (or 139880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 11138228160 in words is "eleven billion, one hundred thirty-eight million, two hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 15936 19920 26560 39840 79680 139787 279574 419361 559148 698935 838722 1118296 1397870 1677444 2096805 2236592 2795740 3354888 4193610 4473184 5591480 6709776 8387220 8946368 11182960 11602321 13419552 16774440 22365920 23204642 26839104 33548880 34806963 44731840 46409284 58011605 67097760 69613926 92818568 116023210 134195520 139227852 174034815 185637136 232046420 278455704 348069630 371274272 464092840 556911408 696139260 742548544 928185680 1113822816 1392278520 1856371360 2227645632 2784557040 3712742720 5569114080 11138228160