Search a number
-
+
74685087120 = 2435744455409
BaseRepresentation
bin100010110001110010…
…0111111110110010000
321010202221011112011210
41011203210333312100
52210423340241440
654150532340120
75252523523530
oct1054344776620
9233687145153
1074685087120
112974586a3a6
1212583a74640
137072c86657
143886d414c0
151e21aaea80
hex116393fd90

74685087120 has 80 divisors (see below), whose sum is σ = 264598600320. Its totient is φ = 17070876672.

The previous prime is 74685087091. The next prime is 74685087133. The reversal of 74685087120 is 2178058647.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 74685087120.

It is an unprimeable number.

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, 22226025 + ... + 22229384.

It is an arithmetic number, because the mean of its divisors is an integer number (3307482504).

Almost surely, 274685087120 is an apocalyptic number.

74685087120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74685087120 is an abundant number, since it is smaller than the sum of its proper divisors (189913513200).

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

74685087120 is a wasteful number, since it uses less digits than its factorization.

74685087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44455432 (or 44455426 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 74685087120 in words is "seventy-four billion, six hundred eighty-five million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 44455409 88910818 133366227 177821636 222277045 266732454 311187863 355643272 444554090 533464908 622375726 666831135 711286544 889108180 933563589 1066929816 1244751452 1333662270 1555939315 1778216360 1867127178 2133859632 2489502904 2667324540 3111878630 3556432720 3734254356 4667817945 4979005808 5334649080 6223757260 7468508712 9335635890 10669298160 12447514520 14937017424 18671271780 24895029040 37342543560 74685087120