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73136501700 = 223522337927967
BaseRepresentation
bin100010000011101000…
…1100111001111000100
320222210000020020100020
41010013101213033010
52144240421023300
653333133015140
75166251002323
oct1040721471704
9228700206306
1073136501700
1129020715239
12122113244b0
136b871b2b12
14377b3d20ba
151d80b698a0
hex11074673c4

73136501700 has 144 divisors (see below), whose sum is σ = 221399162880. Its totient is φ = 18605220480.

The previous prime is 73136501689. The next prime is 73136501701. The reversal of 73136501700 is 710563137.

It is a super-4 number, since 4×731365017004 (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (73136501701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601117 + ... + 2629083.

Almost surely, 273136501700 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 73136501700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110699581440).

73136501700 is an abundant number, since it is smaller than the sum of its proper divisors (148262661180).

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

73136501700 is a wasteful number, since it uses less digits than its factorization.

73136501700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28386 (or 28379 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 73136501700 in words is "seventy-three billion, one hundred thirty-six million, five hundred one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 379 460 575 690 758 1137 1150 1380 1516 1725 1895 2274 2300 3450 3790 4548 5685 6900 7580 8717 9475 11370 17434 18950 22740 26151 27967 28425 34868 37900 43585 52302 55934 56850 83901 87170 104604 111868 113700 130755 139835 167802 174340 217925 261510 279670 335604 419505 435850 523020 559340 643241 653775 699175 839010 871700 1286482 1307550 1398350 1678020 1929723 2097525 2572964 2615100 2796700 3216205 3859446 4195050 6432410 7718892 8390100 9648615 10599493 12864820 16081025 19297230 21198986 31798479 32162050 38594460 42397972 48243075 52997465 63596958 64324100 96486150 105994930 127193916 158992395 192972300 211989860 243788339 264987325 317984790 487576678 529974650 635969580 731365017 794961975 975153356 1059949300 1218941695 1462730034 1589923950 2437883390 2925460068 3179847900 3656825085 4875766780 6094708475 7313650170 12189416950 14627300340 18284125425 24378833900 36568250850 73136501700