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74819498112 = 273280592
BaseRepresentation
bin100010110101110010…
…1101111000010000000
321011010022002022101200
41011223211233002000
52211212242414422
654212133301200
75256045145362
oct1055345570200
9234108068350
1074819498112
1129804724367
1212600a94800
137094a87a98
14389ab2cd32
151e2d7b02ac
hex116b96f080

74819498112 has 72 divisors (see below), whose sum is σ = 215327618415. Its totient is φ = 24936738048.

The previous prime is 74819498101. The next prime is 74819498113. The reversal of 74819498112 is 21189491847.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

74819498112 is a `hidden beast` number, since 7 + 481 + 9 + 49 + 8 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37409749056 + 37409749056 = 193416^2 + 193416^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=193416.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (8064).

It is not an unprimeable number, because it can be changed into a prime (74819498113) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9279939 + ... + 9287997.

Almost surely, 274819498112 is an apocalyptic number.

74819498112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74819498112 is an abundant number, since it is smaller than the sum of its proper divisors (140508120303).

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

74819498112 is an frugal number, since it uses more digits than its factorization.

74819498112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 8064 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 74819498112 in words is "seventy-four billion, eight hundred nineteen million, four hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8059 16118 24177 32236 48354 64472 72531 96708 128944 145062 193416 257888 290124 386832 515776 580248 773664 1031552 1160496 1547328 2320992 3094656 4641984 9283968 64947481 129894962 194842443 259789924 389684886 519579848 584527329 779369772 1039159696 1169054658 1558739544 2078319392 2338109316 3117479088 4156638784 4676218632 6234958176 8313277568 9352437264 12469916352 18704874528 24939832704 37409749056 74819498112