Search a number
-
+
12380533984 = 2571331137147
BaseRepresentation
bin10111000011110111…
…11111010011100000
31011221211011021211201
423201323333103200
5200323404041414
65404301450544
7615541542160
oct134173772340
934854137751
1012380533984
115283541475
122496270a54
131223c4ba70
148563965a0
154c6d8b574
hex2e1eff4e0

12380533984 has 96 divisors (see below), whose sum is σ = 30966921216. Its totient is φ = 4739765760.

The previous prime is 12380533889. The next prime is 12380534003. The reversal of 12380533984 is 48933508321.

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, 21699 + ... + 158845.

It is an arithmetic number, because the mean of its divisors is an integer number (322572096).

Almost surely, 212380533984 is an apocalyptic number.

12380533984 is a gapful number since it is divisible by the number (14) 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 12380533984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483460608).

12380533984 is an abundant number, since it is smaller than the sum of its proper divisors (18586387232).

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

12380533984 is a wasteful number, since it uses less digits than its factorization.

12380533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137208 (or 137200 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 12380533984 in words is "twelve billion, three hundred eighty million, five hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 728 806 868 992 1456 1612 1736 2821 2912 3224 3472 5642 6448 6944 11284 12896 22568 45136 90272 137147 274294 548588 960029 1097176 1782911 1920058 2194352 3565822 3840116 4251557 4388704 7131644 7680232 8503114 12480377 14263288 15360464 17006228 24960754 28526576 29760899 30720928 34012456 49921508 55270241 57053152 59521798 68024912 99843016 110540482 119043596 136049824 199686032 221080964 238087192 386891687 399372064 442161928 476174384 773783374 884323856 952348768 1547566748 1768647712 3095133496 6190266992 12380533984