Search a number
-
+
136301002752 = 21437337987
BaseRepresentation
bin111111011110000101…
…1000100000000000000
3111000211001101100110010
41332330023010000000
54213121024042002
6142341003304520
712563444256525
oct1767413040000
9430731340403
10136301002752
11528943a9822
12224bab1b140
13cb1242c925
14685026d14c
15382b10746c
hex1fbc2c4000

136301002752 has 120 divisors (see below), whose sum is σ = 368446827616. Its totient is φ = 44810108928.

The previous prime is 136301002703. The next prime is 136301002759. The reversal of 136301002752 is 257200103631.

It is not an unprimeable number, because it can be changed into a prime (136301002759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3569103 + ... + 3607089.

Almost surely, 2136301002752 is an apocalyptic number.

136301002752 is a gapful number since it is divisible by the number (12) 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 136301002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184223413808).

136301002752 is an abundant number, since it is smaller than the sum of its proper divisors (232145824864).

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

136301002752 is an frugal number, since it uses more digits than its factorization.

136301002752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38091 (or 38065 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 136301002752 in words is "one hundred thirty-six billion, three hundred one million, two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1024 1168 1536 1752 2048 2336 3072 3504 4096 4672 6144 7008 8192 9344 12288 14016 16384 18688 24576 28032 37376 37987 49152 56064 74752 75974 112128 113961 149504 151948 224256 227922 299008 303896 448512 455844 598016 607792 897024 911688 1196032 1215584 1794048 1823376 2431168 2773051 3588096 3646752 4862336 5546102 7293504 8319153 9724672 11092204 14587008 16638306 19449344 22184408 29174016 33276612 38898688 44368816 58348032 66553224 77797376 88737632 116696064 133106448 155594752 177475264 233392128 266212896 311189504 354950528 466784256 532425792 622379008 709901056 933568512 1064851584 1419802112 1867137024 2129703168 2839604224 4259406336 5679208448 8518812672 11358416896 17037625344 22716833792 34075250688 45433667584 68150501376 136301002752