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12369077136 = 24371327191
BaseRepresentation
bin10111000010100000…
…10010001110010000
31011221000121020000000
423201100102032100
5200312440432021
65403212130000
7615342264243
oct134120221620
934830536000
1012369077136
1152780267a9
122492466900
13122176a070
14854a5325a
154c5d76b26
hex2e1412390

12369077136 has 160 divisors (see below), whose sum is σ = 38708355840. Its totient is φ = 3805729920.

The previous prime is 12369077117. The next prime is 12369077137. The reversal of 12369077136 is 63177096321.

It is a junction number, because it is equal to n+sod(n) for n = 12369077091 and 12369077100.

It is not an unprimeable number, because it can be changed into a prime (12369077137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441301 + ... + 468491.

It is an arithmetic number, because the mean of its divisors is an integer number (241927224).

Almost surely, 212369077136 is an apocalyptic number.

12369077136 is a gapful number since it is divisible by the number (16) 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 12369077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354177920).

12369077136 is an abundant number, since it is smaller than the sum of its proper divisors (26339278704).

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

12369077136 is an equidigital number, since it uses as much as digits as its factorization.

12369077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27233 (or 27209 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 12369077136 in words is "twelve billion, three hundred sixty-nine million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2187 2808 2916 3159 3888 4212 4374 5616 5832 6318 8424 8748 9477 11664 12636 16848 17496 18954 25272 27191 28431 34992 37908 50544 54382 56862 75816 81573 108764 113724 151632 163146 217528 227448 244719 326292 353483 435056 454896 489438 652584 706966 734157 978876 1060449 1305168 1413932 1468314 1957752 2120898 2202471 2827864 2936628 3181347 3915504 4241796 4404942 5655728 5873256 6362694 6607413 8483592 8809884 9544041 11746512 12725388 13214826 16967184 17619768 19088082 19822239 25450776 26429652 28632123 35239536 38176164 39644478 50901552 52859304 57264246 59466717 76352328 79288956 85896369 105718608 114528492 118933434 152704656 158577912 171792738 229056984 237866868 257689107 317155824 343585476 458113968 475733736 515378214 687170952 773067321 951467472 1030756428 1374341904 1546134642 2061512856 3092269284 4123025712 6184538568 12369077136