Search a number
-
+
74356874620 = 22573728350723
BaseRepresentation
bin100010101000000000…
…0111101110101111100
321002221001120121021021
41011100000331311330
52204240324441440
654054205513524
75241430002010
oct1052000756574
9232831517237
1074356874620
11295975764a6
12124b1b728a4
13701cc8b382
143855506540
151e02d7b84a
hex115003dd7c

74356874620 has 96 divisors (see below), whose sum is σ = 183930905088. Its totient is φ = 24716627712.

The previous prime is 74356874573. The next prime is 74356874621. The reversal of 74356874620 is 2647865347.

It is a super-3 number, since 3×743568746203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74356874621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1440579 + ... + 1491301.

It is an arithmetic number, because the mean of its divisors is an integer number (1915946928).

Almost surely, 274356874620 is an apocalyptic number.

74356874620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74356874620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91965452544).

74356874620 is an abundant number, since it is smaller than the sum of its proper divisors (109574030468).

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

74356874620 is a wasteful number, since it uses less digits than its factorization.

74356874620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51059 (or 51057 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 74356874620 in words is "seventy-four billion, three hundred fifty-six million, eight hundred seventy-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 283 370 518 566 740 1036 1132 1295 1415 1981 2590 2830 3962 5180 5660 7924 9905 10471 19810 20942 39620 41884 50723 52355 73297 101446 104710 146594 202892 209420 253615 293188 355061 366485 507230 710122 732970 1014460 1420244 1465940 1775305 1876751 3550610 3753502 7101220 7507004 9383755 13137257 14354609 18767510 26274514 28709218 37535020 52549028 57418436 65686285 71773045 100482263 131372570 143546090 200964526 262745140 287092180 401929052 502411315 531120533 1004822630 1062241066 2009645260 2124482132 2655602665 3717843731 5311205330 7435687462 10622410660 14871374924 18589218655 37178437310 74356874620