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136473573504 = 2734123936269
BaseRepresentation
bin111111100011001110…
…1010111100010000000
3111001021002002212000110
41333012131113202000
54213444213323004
6142410050151320
712600641143332
oct1770635274200
9431232085013
10136473573504
1152972857784
1222548882540
13cb3c1020b8
146869151452
15383b344589
hex1fc6757880

136473573504 has 128 divisors (see below), whose sum is σ = 372913632000. Its totient is φ = 44194734080.

The previous prime is 136473573503. The next prime is 136473573653. The reversal of 136473573504 is 405375374631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (136473573503) 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 15 ways as a sum of consecutive naturals, for example, 3744682 + ... + 3780950.

It is an arithmetic number, because the mean of its divisors is an integer number (2913387750).

Almost surely, 2136473573504 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 136473573504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816000).

136473573504 is an abundant number, since it is smaller than the sum of its proper divisors (236440058496).

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

136473573504 is a wasteful number, since it uses less digits than its factorization.

136473573504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36566 (or 36554 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 136473573504 in words is "one hundred thirty-six billion, four hundred seventy-three million, five hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 239 246 328 384 478 492 656 717 956 984 1312 1434 1912 1968 2624 2868 3824 3936 5248 5736 7648 7872 9799 11472 15296 15744 19598 22944 29397 30592 36269 39196 45888 58794 72538 78392 91776 108807 117588 145076 156784 217614 235176 290152 313568 435228 470352 580304 627136 870456 940704 1160608 1254272 1487029 1740912 1881408 2321216 2974058 3481824 3762816 4461087 4642432 5948116 6963648 8668291 8922174 11896232 13927296 17336582 17844348 23792464 26004873 34673164 35688696 47584928 52009746 69346328 71377392 95169856 104019492 138692656 142754784 190339712 208038984 277385312 285509568 355399931 416077968 554770624 571019136 710799862 832155936 1066199793 1109541248 1421599724 1664311872 2132399586 2843199448 3328623744 4264799172 5686398896 8529598344 11372797792 17059196688 22745595584 34118393376 45491191168 68236786752 136473573504