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74008080080 = 24511503167197
BaseRepresentation
bin100010011101100111…
…0011010111011010000
321002000202021000002222
41010323032122323100
52203032032030310
653555430000212
75226663205214
oct1047316327320
9232022230088
1074008080080
11294286a4a50
12124151a6068
136c95937a7c
143821070944
151dd2430055
hex113b39aed0

74008080080 has 80 divisors (see below), whose sum is σ = 188085711744. Its totient is φ = 26858365440.

The previous prime is 74008080077. The next prime is 74008080089. The reversal of 74008080080 is 8008080047.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74008080080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74008080089) by changing a digit.

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, 359042 + ... + 526238.

Almost surely, 274008080080 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 74008080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94042855872).

74008080080 is an abundant number, since it is smaller than the sum of its proper divisors (114077631664).

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

74008080080 is a wasteful number, since it uses less digits than its factorization.

74008080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167724 (or 167718 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 74008080080 in words is "seventy-four billion, eight million, eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 503 880 1006 2012 2515 4024 5030 5533 8048 10060 11066 20120 22132 27665 40240 44264 55330 88528 110660 167197 221320 334394 442640 668788 835985 1337576 1671970 1839167 2675152 3343940 3678334 6687880 7356668 9195835 13375760 14713336 18391670 29426672 36783340 73566680 84100091 147133360 168200182 336400364 420500455 672800728 841000910 925101001 1345601456 1682001820 1850202002 3364003640 3700404004 4625505005 6728007280 7400808008 9251010010 14801616016 18502020020 37004040040 74008080080