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74456803920 = 24352267136849
BaseRepresentation
bin100010101010111111…
…0001010101001010000
321010012000121112111110
41011111332022221100
52204441420211140
654112135413320
75244052251042
oct1052576125120
9233160545443
1074456803920
1129638a198a4
121251b524240
1370378a8935
1438648b9a92
151e0ba1a380
hex1155f8aa50

74456803920 has 80 divisors (see below), whose sum is σ = 230919595200. Its totient is φ = 19846244352.

The previous prime is 74456803877. The next prime is 74456803933. The reversal of 74456803920 is 2930865447.

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 74456803920.

It is a congruent number.

It is an unprimeable number.

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, 475656 + ... + 612504.

It is an arithmetic number, because the mean of its divisors is an integer number (2886494940).

Almost surely, 274456803920 is an apocalyptic number.

It is an amenable number.

74456803920 is an abundant number, since it is smaller than the sum of its proper divisors (156462791280).

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

74456803920 is a wasteful number, since it uses less digits than its factorization.

74456803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139132 (or 139126 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 74456803920 in words is "seventy-four billion, four hundred fifty-six million, eight hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2267 4534 6801 9068 11335 13602 18136 22670 27204 34005 36272 45340 54408 68010 90680 108816 136020 136849 181360 272040 273698 410547 544080 547396 684245 821094 1094792 1368490 1642188 2052735 2189584 2736980 3284376 4105470 5473960 6568752 8210940 10947920 16421880 32843760 310236683 620473366 930710049 1240946732 1551183415 1861420098 2481893464 3102366830 3722840196 4653550245 4963786928 6204733660 7445680392 9307100490 12409467320 14891360784 18614200980 24818934640 37228401960 74456803920