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74354039900 = 22527487218111
BaseRepresentation
bin100010100111111011…
…0001001110001011100
321002220212020120202122
41011033312021301130
52204234113234100
654054025042112
75241363624350
oct1051766116134
9232825216678
1074354039900
1129595a0a758
12124b1026338
13701c50801a
143854da9460
151e029bb985
hex114fd89c5c

74354039900 has 72 divisors (see below), whose sum is σ = 184777506816. Its totient is φ = 25440350400.

The previous prime is 74354039891. The next prime is 74354039923. The reversal of 74354039900 is 993045347.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 231845 + ... + 449955.

Almost surely, 274354039900 is an apocalyptic number.

74354039900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74354039900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92388753408).

74354039900 is an abundant number, since it is smaller than the sum of its proper divisors (110423466916).

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

74354039900 is a wasteful number, since it uses less digits than its factorization.

74354039900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218619 (or 218612 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 74354039900 in words is "seventy-four billion, three hundred fifty-four million, thirty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 487 700 974 1948 2435 3409 4870 6818 9740 12175 13636 17045 24350 34090 48700 68180 85225 170450 218111 340900 436222 872444 1090555 1526777 2181110 3053554 4362220 5452775 6107108 7633885 10905550 15267770 21811100 30535540 38169425 76338850 106220057 152677700 212440114 424880228 531100285 743540399 1062200570 1487080798 2124401140 2655501425 2974161596 3717701995 5311002850 7435403990 10622005700 14870807980 18588509975 37177019950 74354039900