Search a number
-
+
74426822192 = 24193153149011
BaseRepresentation
bin100010101010000101…
…1110010111000110000
321010002221012022022002
41011110023302320300
52204411231302232
654105145033132
75243236356542
oct1052413627060
9233087168262
1074426822192
1129623001108
12125114857a8
13703160c078
143860913692
151e09096b62
hex11542f2e30

74426822192 has 80 divisors (see below), whose sum is σ = 159645496320. Its totient is φ = 33473606400.

The previous prime is 74426822189. The next prime is 74426822203. The reversal of 74426822192 is 29122862447.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424967 + ... + 573977.

It is an arithmetic number, because the mean of its divisors is an integer number (1995568704).

Almost surely, 274426822192 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 74426822192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79822748160).

74426822192 is an abundant number, since it is smaller than the sum of its proper divisors (85218674128).

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

74426822192 is a wasteful number, since it uses less digits than its factorization.

74426822192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149122 (or 149116 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The spelling of 74426822192 in words is "seventy-four billion, four hundred twenty-six million, eight hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 31 38 53 62 76 106 124 152 212 248 304 424 496 589 848 1007 1178 1643 2014 2356 3286 4028 4712 6572 8056 9424 13144 16112 26288 31217 62434 124868 149011 249736 298022 499472 596044 1192088 2384176 2831209 4619341 5662418 7897583 9238682 11324836 15795166 18477364 22649672 31590332 36954728 45299344 63180664 73909456 87767479 126361328 150054077 175534958 244825073 300108154 351069916 489650146 600216308 702139832 979300292 1200432616 1404279664 1958600584 2400865232 3917201168 4651676387 9303352774 18606705548 37213411096 74426822192