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73115015820 = 223572112260823
BaseRepresentation
bin100010000010111111…
…1101001101010001100
320222201111210122020220
41010011333221222030
52144214421001240
653331044311340
75165600244300
oct1040577515214
9228644718226
1073115015820
112900a57a610
12122060a2550
136b828cc292
1437785dbd00
151d7dd235d0
hex1105fe9a8c

73115015820 has 144 divisors (see below), whose sum is σ = 259795807488. Its totient is φ = 15192723840.

The previous prime is 73115015741. The next prime is 73115015821. The reversal of 73115015820 is 2851051137.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (73115015821) 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, 1098072 + ... + 1162751.

It is an arithmetic number, because the mean of its divisors is an integer number (1804137552).

Almost surely, 273115015820 is an apocalyptic number.

73115015820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73115015820 is an abundant number, since it is smaller than the sum of its proper divisors (186680791668).

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

73115015820 is a wasteful number, since it uses less digits than its factorization.

73115015820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260860 (or 2260851 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

Adding to 73115015820 its reverse (2851051137), we get a palindrome (75966066957).

The spelling of 73115015820 in words is "seventy-three billion, one hundred fifteen million, fifteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 2260823 4521646 6782469 9043292 11304115 13564938 15825761 22608230 24869053 27129876 31651522 33912345 45216460 47477283 49738106 63303044 67824690 74607159 79128805 94954566 99476212 110780327 124345265 135649380 149214318 158257610 174083371 189909132 221560654 237386415 248690530 298428636 316515220 332340981 348166742 373035795 443121308 474772830 497381060 522250113 553901635 664681962 696333484 746071590 870416855 949545660 1044500226 1107803270 1218583597 1329363924 1492143180 1661704905 1740833710 2089000452 2215606540 2437167194 2611250565 3323409810 3481667420 3655750791 4874334388 5222501130 6092917985 6646819620 7311501582 10445002260 12185835970 14623003164 18278753955 24371671940 36557507910 73115015820