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136789527472 = 24132374632953
BaseRepresentation
bin111111101100101001…
…0101000101110110000
3111002002002121222101021
41333121102220232300
54220121104334342
6142501254145224
712611525541043
oct1773122505660
9432062558337
10136789527472
1153015138664
1222616652214
13cb8c6c7800
1468990b8c5a
153858e55567
hex1fd94a8bb0

136789527472 has 120 divisors (see below), whose sum is σ = 295477796544. Its totient is φ = 61273884672.

The previous prime is 136789527467. The next prime is 136789527491. The reversal of 136789527472 is 274725987631.

136789527472 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 2×1367895274722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136789527472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46320748 + ... + 46323700.

Almost surely, 2136789527472 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 136789527472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147738898272).

136789527472 is an abundant number, since it is smaller than the sum of its proper divisors (158688269072).

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

136789527472 is a wasteful number, since it uses less digits than its factorization.

136789527472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3468 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 61.

The spelling of 136789527472 in words is "one hundred thirty-six billion, seven hundred eighty-nine million, five hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 169 208 296 338 463 481 592 676 926 962 1352 1852 1924 2704 2953 3704 3848 5906 6019 6253 7408 7696 11812 12038 12506 17131 23624 24076 25012 34262 38389 47248 48152 50024 68524 76778 78247 96304 100048 109261 137048 153556 156494 218522 222703 274096 307112 312988 437044 445406 499057 614224 625976 874088 890812 998114 1251952 1367239 1420393 1748176 1781624 1996228 2734478 2840786 2895139 3563248 3992456 5468956 5681572 5790278 7984912 10937912 11363144 11580556 17774107 18465109 21875824 22726288 23161112 35548214 36930218 46322224 50587843 71096428 73860436 101175686 142192856 147720872 202351372 231063391 284385712 295441744 404702744 462126782 657641959 809405488 924253564 1315283918 1848507128 2630567836 3697014256 5261135672 8549345467 10522271344 17098690934 34197381868 68394763736 136789527472