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8160074468028 = 22327235519255097
BaseRepresentation
bin111011010111110101001…
…0101110000101010111100
31001220002120121201220210100
41312233222111300222330
52032143313030434103
625204404135241100
71501355152355340
oct166575225605274
931802517656710
108160074468028
11266673933931a
12ab9588519190
134726514051b2
14202d42019620
15e23e02125a3
hex76bea570abc

8160074468028 has 144 divisors (see below), whose sum is σ = 24603038853120. Its totient is φ = 2229669649152.

The previous prime is 8160074468027. The next prime is 8160074468083. The reversal of 8160074468028 is 8208644700618.

8160074468028 is a `hidden beast` number, since 8 + 1 + 600 + 7 + 4 + 4 + 6 + 8 + 0 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8160074468027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31860576 + ... + 32115672.

It is an arithmetic number, because the mean of its divisors is an integer number (170854436480).

Almost surely, 28160074468028 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 8160074468028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301519426560).

8160074468028 is an abundant number, since it is smaller than the sum of its proper divisors (16442964385092).

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

8160074468028 is a wasteful number, since it uses less digits than its factorization.

8160074468028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260656 (or 260651 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 8160074468028 in words is "eight trillion, one hundred sixty billion, seventy-four million, four hundred sixty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5519 5796 11038 16557 22076 33114 38633 49671 66228 77266 99342 115899 126937 154532 198684 231798 253874 255097 347697 380811 463596 507748 510194 695394 761622 765291 888559 1020388 1142433 1390788 1523244 1530582 1777118 1785679 2284866 2295873 2665677 3061164 3554236 3571358 4569732 4591746 5331354 5357037 5867231 7142716 7997031 9183492 10662708 10714074 11734462 15994062 16071111 17601693 21428148 23468924 31988124 32142222 35203386 41070617 52805079 64284444 70406772 82141234 105610158 123211851 164282468 211220316 246423702 369635553 492847404 739271106 1407880343 1478542212 2815760686 4223641029 5631521372 8447282058 9855162401 12670923087 16894564116 19710324802 25341846174 29565487203 32381247889 39420649604 50683692348 59130974406 64762495778 88696461609 97143743667 118261948812 129524991556 177392923218 194287487334 226668735223 291431231001 354785846436 388574974668 453337470446 582862462002 680006205669 906674940892 1165724924004 1360012411338 2040018617007 2720024822676 4080037234014 8160074468028