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11832985472 = 2771110111887
BaseRepresentation
bin10110000010100110…
…10000011110000000
31010112122211221111012
423001103100132000
5143213221013342
65234101540052
7566142500630
oct130123203600
933478757435
1011832985472
115022459140
122362a14628
131167689369
148037846c0
15493c7eb82
hex2c14d0780

11832985472 has 128 divisors (see below), whose sum is σ = 29683860480. Its totient is φ = 4564224000.

The previous prime is 11832985427. The next prime is 11832985499. The reversal of 11832985472 is 27458923811.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11832985472.

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, 989513 + ... + 1001399.

It is an arithmetic number, because the mean of its divisors is an integer number (231905160).

Almost surely, 211832985472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11832985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841930240).

11832985472 is an abundant number, since it is smaller than the sum of its proper divisors (17850875008).

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

11832985472 is a wasteful number, since it uses less digits than its factorization.

11832985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12008 counting only the distinct ones).

The product of its digits is 967680, while the sum is 50.

The spelling of 11832985472 in words is "eleven billion, eight hundred thirty-two million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 128 154 176 202 224 308 352 404 448 616 704 707 808 896 1111 1232 1408 1414 1616 2222 2464 2828 3232 4444 4928 5656 6464 7777 8888 9856 11312 11887 12928 15554 17776 22624 23774 31108 35552 45248 47548 62216 71104 83209 90496 95096 124432 130757 142208 166418 190192 248864 261514 332836 380384 497728 523028 665672 760768 915299 995456 1046056 1200587 1331344 1521536 1830598 2092112 2401174 2662688 3661196 4184224 4802348 5325376 7322392 8368448 8404109 9604696 10650752 13206457 14644784 16736896 16808218 19209392 26412914 29289568 33616436 38418784 52825828 58579136 67232872 76837568 92445199 105651656 117158272 134465744 153675136 184890398 211303312 268931488 369780796 422606624 537862976 739561592 845213248 1075725952 1479123184 1690426496 2958246368 5916492736 11832985472