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11389942368 = 253277517523
BaseRepresentation
bin10101001101110010…
…01011101001100000
31002101210012000121100
422212321023221200
5141311311123433
65122113554400
7552152625030
oct124671135140
932353160540
1011389942368
114915364312
12225a575a00
1310c695708c
147a09b78c0
15469e17b13
hex2a6e4ba60

11389942368 has 144 divisors (see below), whose sum is σ = 37071530496. Its totient is φ = 3249504000.

The previous prime is 11389942339. The next prime is 11389942379. The reversal of 11389942368 is 86324998311.

11389942368 is a `hidden beast` number, since 113 + 89 + 94 + 2 + 368 = 666.

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

It is a super-2 number, since 2×113899423682 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1510255 + ... + 1517777.

It is an arithmetic number, because the mean of its divisors is an integer number (257441184).

Almost surely, 211389942368 is an apocalyptic number.

11389942368 is a gapful number since it is divisible by the number (18) 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 11389942368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18535765248).

11389942368 is an abundant number, since it is smaller than the sum of its proper divisors (25681588128).

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

11389942368 is a wasteful number, since it uses less digits than its factorization.

11389942368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297 (or 8286 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 11389942368 in words is "eleven billion, three hundred eighty-nine million, nine hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 751 1008 1502 2016 2253 3004 4506 5257 6008 6759 7523 9012 10514 12016 13518 15046 15771 18024 21028 22569 24032 27036 30092 31542 36048 42056 45138 47313 52661 54072 60184 63084 67707 72096 84112 90276 94626 105322 108144 120368 126168 135414 157983 168224 180552 189252 210644 216288 240736 252336 270828 315966 361104 378504 421288 473949 504672 541656 631932 722208 757008 842576 947898 1083312 1263864 1514016 1685152 1895796 2166624 2527728 3791592 5055456 5649773 7583184 11299546 15166368 16949319 22599092 33898638 39548411 45198184 50847957 67797276 79096822 90396368 101695914 118645233 135594552 158193644 180792736 203391828 237290466 271189104 316387288 355935699 406783656 474580932 542378208 632774576 711871398 813567312 949161864 1265549152 1423742796 1627134624 1898323728 2847485592 3796647456 5694971184 11389942368