Search a number
-
+
136276672728 = 23375373209659
BaseRepresentation
bin111111011101010111…
…0010000000011011000
3111000202100121020221010
41332322232100003120
54213043312011403
6142334334013520
712563030414520
oct1767256200330
9430670536833
10136276672728
11528816a1269
12224b29472a0
13cb0a391671
14684ad38680
153828ded603
hex1fbab900d8

136276672728 has 128 divisors (see below), whose sum is σ = 402144652800. Its totient is φ = 37678058496.

The previous prime is 136276672723. The next prime is 136276672751. The reversal of 136276672728 is 827276672631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136276672723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545163 + ... + 754821.

It is an arithmetic number, because the mean of its divisors is an integer number (3141755100).

Almost surely, 2136276672728 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 136276672728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201072326400).

136276672728 is an abundant number, since it is smaller than the sum of its proper divisors (265867980072).

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

136276672728 is a wasteful number, since it uses less digits than its factorization.

136276672728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209801 (or 209797 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 136276672728 in words is "one hundred thirty-six billion, two hundred seventy-six million, six hundred seventy-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 73 84 106 146 159 168 212 219 292 318 371 424 438 511 584 636 742 876 1022 1113 1272 1484 1533 1752 2044 2226 2968 3066 3869 4088 4452 6132 7738 8904 11607 12264 15476 23214 27083 30952 46428 54166 81249 92856 108332 162498 209659 216664 324996 419318 628977 649992 838636 1257954 1467613 1677272 2515908 2935226 4402839 5031816 5870452 8805678 11111927 11740904 15305107 17611356 22223854 30610214 33335781 35222712 44447708 45915321 61220428 66671562 77783489 88895416 91830642 107135749 122440856 133343124 155566978 183661284 214271498 233350467 266686248 311133956 321407247 367322568 428542996 466700934 622267912 642814494 811170671 857085992 933401868 1285628988 1622341342 1866803736 2433512013 2571257976 3244682684 4867024026 5678194697 6489365368 9734048052 11356389394 17034584091 19468096104 22712778788 34069168182 45425557576 68138336364 136276672728