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74044940544 = 283256692
BaseRepresentation
bin100010011110101101…
…1000010000100000000
321002010022121201011100
41010331123002010000
52203121001044134
654003224014400
75230621416141
oct1047533020400
9232108551140
1074044940544
1129447490843
1212425601400
136ca04725b3
143825d07ac8
151dd57b1999
hex113d6c2100

74044940544 has 81 divisors (see below), whose sum is σ = 213527483533. Its totient is φ = 24677293056.

The previous prime is 74044940531. The next prime is 74044940551. The reversal of 74044940544 is 44504944047.

The square root of 74044940544 is 272112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17819046144 + 56225894400 = 133488^2 + 237120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74044940544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13058542 + ... + 13064210.

Almost surely, 274044940544 is an apocalyptic number.

74044940544 is the 272112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74044940544

74044940544 is an abundant number, since it is smaller than the sum of its proper divisors (139482542989).

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

74044940544 is an frugal number, since it uses more digits than its factorization.

74044940544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 74044940544 in words is "seventy-four billion, forty-four million, nine hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5669 11338 17007 22676 34014 45352 51021 68028 90704 102042 136056 181408 204084 272112 362816 408168 544224 725632 816336 1088448 1451264 1632672 2176896 3265344 4353792 6530688 13061376 32137561 64275122 96412683 128550244 192825366 257100488 289238049 385650732 514200976 578476098 771301464 1028401952 1156952196 1542602928 2056803904 2313904392 3085205856 4113607808 4627808784 6170411712 8227215616 9255617568 12340823424 18511235136 24681646848 37022470272 74044940544