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136934682216 = 23361714093221
BaseRepresentation
bin111111110000111110…
…0010110111001101000
3111002110012202121020220
41333201330112321220
54220420234312331
6142523521250040
712615240410523
oct1774174267150
9432405677226
10136934682216
115308a070562
1222657193920
13cbb37bb1a7
1468b04a1bba
153866a79296
hex1fe1f16e68

136934682216 has 128 divisors (see below), whose sum is σ = 353821996800. Its totient is φ = 44142336000.

The previous prime is 136934682173. The next prime is 136934682217. The reversal of 136934682216 is 612286439631.

136934682216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1369346822162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136934682217) 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, 42511486 + ... + 42514706.

It is an arithmetic number, because the mean of its divisors is an integer number (2764234350).

Almost surely, 2136934682216 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 136934682216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176910998400).

136934682216 is an abundant number, since it is smaller than the sum of its proper divisors (216887314584).

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

136934682216 is a wasteful number, since it uses less digits than its factorization.

136934682216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3767 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 136934682216 in words is "one hundred thirty-six billion, nine hundred thirty-four million, six hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 284 366 409 426 488 568 732 818 852 1227 1464 1636 1704 2454 3221 3272 4331 4908 6442 8662 9663 9816 12884 12993 17324 19326 24949 25768 25986 29039 34648 38652 49898 51972 58078 74847 77304 87117 99796 103944 116156 149694 174234 196481 199592 228691 232312 299388 348468 392962 457382 589443 598776 686073 696936 785924 914764 1178886 1317389 1372146 1571848 1771379 1829528 2357772 2634778 2744292 3542758 3952167 4715544 5269556 5314137 5488584 7085516 7904334 10539112 10628274 13950151 14171032 15808668 21256548 27900302 31617336 41850453 42513096 55800604 80360729 83700906 93534619 111601208 160721458 167401812 187069238 241082187 280603857 321442916 334803624 374138476 482164374 561207714 642885832 748276952 964328748 1122415428 1928657496 2244830856 5705611759 11411223518 17116835277 22822447036 34233670554 45644894072 68467341108 136934682216