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11744089392 = 2437196133001
BaseRepresentation
bin10101111000000000…
…01001010100110000
31010022110120112222210
422330000021110300
5143022441330032
65221204332120
7564013053450
oct127400112460
933273515883
1011744089392
114a87261202
1223390a4040
131152132a29
147d5a43d60
1548b0702cc
hex2bc009530

11744089392 has 160 divisors (see below), whose sum is σ = 36569643520. Its totient is φ = 3172608000.

The previous prime is 11744089387. The next prime is 11744089433. The reversal of 11744089392 is 29398044711.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3911892 + ... + 3914892.

It is an arithmetic number, because the mean of its divisors is an integer number (228560272).

Almost surely, 211744089392 is an apocalyptic number.

11744089392 is a gapful number since it is divisible by the number (12) 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 11744089392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284821760).

11744089392 is an abundant number, since it is smaller than the sum of its proper divisors (24825554128).

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

11744089392 is a wasteful number, since it uses less digits than its factorization.

11744089392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11744089392 in words is "eleven billion, seven hundred forty-four million, eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 613 798 912 1064 1226 1596 1839 2128 2452 3001 3192 3678 4291 4904 6002 6384 7356 8582 9003 9808 11647 12004 12873 14712 17164 18006 21007 23294 24008 25746 29424 34328 34941 36012 42014 46588 48016 51492 57019 63021 68656 69882 72024 81529 84028 93176 102984 114038 126042 139764 144048 163058 168056 171057 186352 205968 228076 244587 252084 279528 326116 336112 342114 399133 456152 489174 504168 559056 652232 684228 798266 912304 978348 1008336 1197399 1304464 1368456 1596532 1839613 1956696 2394798 2736912 3193064 3679226 3913392 4789596 5518839 6386128 7358452 9579192 11037678 12877291 14716904 19158384 22075356 25754582 29433808 34952647 38631873 44150712 51509164 69905294 77263746 88301424 103018328 104857941 139810588 154527492 206036656 209715882 244668529 279621176 309054984 419431764 489337058 559242352 618109968 734005587 838863528 978674116 1468011174 1677727056 1957348232 2936022348 3914696464 5872044696 11744089392