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73285141104 = 24327363120023
BaseRepresentation
bin100010001000000100…
…0101000001001110000
321000011100220220021100
41010100020220021300
52200041444003404
653400002524400
75203034264340
oct1042010501160
9230140826240
1073285141104
112909760821a
1212253066700
136babc26626
143793044d20
151d8dc2ad39
hex1110228270

73285141104 has 120 divisors (see below), whose sum is σ = 234472389632. Its totient is φ = 20931799680.

The previous prime is 73285141049. The next prime is 73285141117. The reversal of 73285141104 is 40114158237.

73285141104 is a `hidden beast` number, since 7 + 3 + 28 + 514 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3650037 + ... + 3670059.

Almost surely, 273285141104 is an apocalyptic number.

It is an amenable number.

73285141104 is an abundant number, since it is smaller than the sum of its proper divisors (161187248528).

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

73285141104 is a wasteful number, since it uses less digits than its factorization.

73285141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23675 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 73285141104 in words is "seventy-three billion, two hundred eighty-five million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3631 7262 10893 14524 20023 21786 25417 29048 32679 40046 43572 50834 58096 60069 65358 76251 80092 87144 101668 120138 130716 140161 152502 160184 174288 180207 203336 228753 240276 261432 280322 305004 320368 360414 406672 420483 457506 480552 522864 560644 610008 720828 840966 915012 961104 1121288 1220016 1261449 1441656 1681932 1830024 2242576 2522898 2883312 3363864 3660048 5045796 6727728 10091592 20183184 72703513 145407026 218110539 290814052 436221078 508924591 581628104 654331617 872442156 1017849182 1163256208 1308663234 1526773773 1744884312 2035698364 2617326468 3053547546 3489768624 4071396728 4580321319 5234652936 6107095092 8142793456 9160642638 10469305872 12214190184 18321285276 24428380368 36642570552 73285141104