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74322078160 = 245115910114173
BaseRepresentation
bin100010100110111110…
…0001110100111010000
321002211122002202111111
41011031330032213100
52204202423000120
654050524023104
75240525145421
oct1051574164720
9232748082444
1074322078160
112957996a3a0
12124a2391a94
1370159c7155
143850a49648
151deeca675a
hex114df0e9d0

74322078160 has 160 divisors (see below), whose sum is σ = 193614572160. Its totient is φ = 26303232000.

The previous prime is 74322078079. The next prime is 74322078163. The reversal of 74322078160 is 6187022347.

It is a super-2 number, since 2×743220781602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74322078163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5236834 + ... + 5251006.

It is an arithmetic number, because the mean of its divisors is an integer number (1210091076).

Almost surely, 274322078160 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 74322078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96807286080).

74322078160 is an abundant number, since it is smaller than the sum of its proper divisors (119292494000).

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

74322078160 is a wasteful number, since it uses less digits than its factorization.

74322078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 74322078160 in words is "seventy-four billion, three hundred twenty-two million, seventy-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 101 110 118 176 202 220 236 295 404 440 472 505 590 649 808 880 944 1010 1111 1180 1298 1616 2020 2222 2360 2596 3245 4040 4444 4720 5192 5555 5959 6490 8080 8888 10384 11110 11918 12980 14173 17776 22220 23836 25960 28346 29795 44440 47672 51920 56692 59590 65549 70865 88880 95344 113384 119180 131098 141730 155903 226768 238360 262196 283460 311806 327745 476720 524392 566920 623612 655490 779515 836207 1048784 1133840 1247224 1310980 1431473 1559030 1672414 2494448 2621960 2862946 3118060 3344828 4181035 5243920 5725892 6236120 6689656 7157365 8362070 9198277 11451784 12472240 13379312 14314730 15746203 16724140 18396554 22903568 28629460 31492406 33448280 36793108 45991385 57258920 62984812 66896560 73586216 78731015 84456907 91982770 114517840 125969624 147172432 157462030 168913814 183965540 251939248 314924060 337827628 367931080 422284535 629848120 675655256 735862160 844569070 929025977 1259696240 1351310512 1689138140 1858051954 3378276280 3716103908 4645129885 6756552560 7432207816 9290259770 14864415632 18580519540 37161039080 74322078160