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11396778240 = 283517174583
BaseRepresentation
bin10101001110100110…
…10000100100000000
31002102021001022122210
422213103100210000
5141320033400430
65122520302120
7552265005501
oct124723204400
932367038583
1011396778240
1149192031a1
122260911940
1310c81ab683
147a1876ba8
1546a8182b0
hex2a74d0900

11396778240 has 144 divisors (see below), whose sum is σ = 38539767168. Its totient is φ = 2860351488.

The previous prime is 11396778233. The next prime is 11396778287. The reversal of 11396778240 is 4287769311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11396778240.

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, 22012 + ... + 152571.

It is an arithmetic number, because the mean of its divisors is an integer number (267637272).

Almost surely, 211396778240 is an apocalyptic number.

11396778240 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 11396778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269883584).

11396778240 is an abundant number, since it is smaller than the sum of its proper divisors (27142988928).

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

11396778240 is a wasteful number, since it uses less digits than its factorization.

11396778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174624 (or 174610 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11396778240 in words is "eleven billion, three hundred ninety-six million, seven hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32640 65280 174583 349166 523749 698332 872915 1047498 1396664 1745830 2094996 2618745 2793328 2967911 3491660 4189992 5237490 5586656 5935822 6983320 8379984 8903733 10474980 11173312 11871644 13966640 14839555 16759968 17807466 20949960 22346624 23743288 27933280 29679110 33519936 35614932 41899920 44518665 44693248 47486576 55866560 59358220 67039872 71229864 83799840 89037330 94973152 111733120 118716440 134079744 142459728 167599680 178074660 189946304 223466240 237432880 284919456 335199360 356149320 379892608 474865760 569838912 670398720 712298640 759785216 949731520 1139677824 1424597280 1899463040 2279355648 2849194560 3798926080 5698389120 11396778240