Search a number
-
+
136642654464 = 2831912317607
BaseRepresentation
bin111111101000010001…
…0010111000100000000
3111001200212021001111020
41333100202113010000
54214321004420324
6142434530145440
712605063253621
oct1772042270400
9431625231436
10136642654464
1152a4a241808
1222595422280
13cb68151cc4
1468837a5a48
15384b0e2679
hex1fd0897100

136642654464 has 144 divisors (see below), whose sum is σ = 383170529280. Its totient is φ = 43109591040.

The previous prime is 136642654457. The next prime is 136642654501. The reversal of 136642654464 is 464456246631.

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, 17958949 + ... + 17966555.

Almost surely, 2136642654464 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 136642654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191585264640).

136642654464 is an abundant number, since it is smaller than the sum of its proper divisors (246527874816).

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

136642654464 is a wasteful number, since it uses less digits than its factorization.

136642654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8862 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 136642654464 in words is "one hundred thirty-six billion, six hundred forty-two million, six hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1231 1824 2432 2462 3648 3693 4864 4924 7296 7386 7607 9848 14592 14772 15214 19696 22821 23389 29544 30428 39392 45642 46778 59088 60856 70167 78784 91284 93556 118176 121712 140334 144533 157568 182568 187112 236352 243424 280668 289066 315136 365136 374224 433599 472704 486848 561336 578132 730272 748448 867198 945408 973696 1122672 1156264 1460544 1496896 1734396 1947392 2245344 2312528 2921088 2993792 3468792 4490688 4625056 5842176 5987584 6937584 8981376 9250112 9364217 13875168 17962752 18500224 18728434 27750336 28092651 37000448 37456868 55500672 56185302 74913736 111001344 112370604 149827472 177920123 224741208 299654944 355840246 449482416 533760369 599309888 711680492 898964832 1067520738 1198619776 1423360984 1797929664 2135041476 2397239552 2846721968 3595859328 4270082952 5693443936 7191718656 8540165904 11386887872 17080331808 22773775744 34160663616 45547551488 68321327232 136642654464