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74078014000 = 245367552821
BaseRepresentation
bin100010011111101100…
…1001100101000110000
321002012121212000102011
41010333121030220300
52203202432422000
654010404532304
75231502505204
oct1047731145060
9232177760364
1074078014000
1129464120381
12124346b1094
136ca72824a3
14382a476b04
151dd86462ba
hex113f64ca30

74078014000 has 80 divisors (see below), whose sum is σ = 181794409056. Its totient is φ = 29188896000.

The previous prime is 74078013959. The next prime is 74078014007. The reversal of 74078014000 is 41087047.

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

It is not an unprimeable number, because it can be changed into a prime (74078014007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142411 + ... + 410410.

Almost surely, 274078014000 is an apocalyptic number.

It is an amenable number.

74078014000 is an abundant number, since it is smaller than the sum of its proper divisors (107716395056).

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

74078014000 is a wasteful number, since it uses less digits than its factorization.

74078014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552911 (or 552895 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 74078014000 in words is "seventy-four billion, seventy-eight million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 67000 134000 552821 1105642 2211284 2764105 4422568 5528210 8845136 11056420 13820525 22112840 27641050 37039007 44225680 55282100 69102625 74078014 110564200 138205250 148156028 185195035 221128400 276410500 296312056 370390070 552821000 592624112 740780140 925975175 1105642000 1481560280 1851950350 2963120560 3703900700 4629875875 7407801400 9259751750 14815602800 18519503500 37039007000 74078014000