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136809023232 = 2837103247069
BaseRepresentation
bin111111101101001110…
…1000000011100000000
3111002010110022110112110
41333122131000130000
54220141102220412
6142503232055320
712612153340020
oct1773235003400
9432113273473
10136809023232
1153025144062
1222621094540
13cb9376256b
14689b911a80
15385aa06d3c
hex1fda740700

136809023232 has 144 divisors (see below), whose sum is σ = 420169218560. Its totient is φ = 38708637696.

The previous prime is 136809023227. The next prime is 136809023291. The reversal of 136809023232 is 232320908631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430194 + ... + 677262.

Almost surely, 2136809023232 is an apocalyptic number.

136809023232 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 136809023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210084609280).

136809023232 is an abundant number, since it is smaller than the sum of its proper divisors (283360195328).

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

136809023232 is a wasteful number, since it uses less digits than its factorization.

136809023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247198 (or 247184 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 136809023232 in words is "one hundred thirty-six billion, eight hundred nine million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 618 672 721 768 824 896 1236 1344 1442 1648 1792 2163 2472 2688 2884 3296 4326 4944 5376 5768 6592 8652 9888 11536 13184 17304 19776 23072 26368 34608 39552 46144 69216 79104 92288 138432 184576 247069 276864 494138 553728 741207 988276 1482414 1729483 1976552 2964828 3458966 3953104 5188449 5929656 6917932 7906208 10376898 11859312 13835864 15812416 20753796 23718624 25448107 27671728 31624832 41507592 47437248 50896214 55343456 63249664 76344321 83015184 94874496 101792428 110686912 152688642 166030368 178136749 189748992 203584856 221373824 305377284 332060736 356273498 407169712 442747648 534410247 610754568 664121472 712546996 814339424 1068820494 1221509136 1328242944 1425093992 1628678848 2137640988 2443018272 2850187984 3257357696 4275281976 4886036544 5700375968 6514715392 8550563952 9772073088 11400751936 17101127904 19544146176 22801503872 34202255808 45603007744 68404511616 136809023232