Search a number
-
+
74814505290 = 23257349340267
BaseRepresentation
bin100010110101101001…
…0101100000101001010
321011002221200122112100
41011223102230011022
52211210003132130
654211434254230
75255654542140
oct1055322540512
9234087618470
1074814505290
1129801924168
12125bb287376
137093a2a355
14389a1cd590
151e2d125c60
hex116b4ac14a

74814505290 has 96 divisors (see below), whose sum is σ = 222943593600. Its totient is φ = 17051409792.

The previous prime is 74814505277. The next prime is 74814505303. The reversal of 74814505290 is 9250541847.

74814505290 is a `hidden beast` number, since 7 + 4 + 81 + 45 + 0 + 529 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74814505277) and next prime (74814505303).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49737 + ... + 390003.

It is an arithmetic number, because the mean of its divisors is an integer number (2322329100).

Almost surely, 274814505290 is an apocalyptic number.

74814505290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74814505290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111471796800).

74814505290 is an abundant number, since it is smaller than the sum of its proper divisors (148129088310).

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

74814505290 is a wasteful number, since it uses less digits than its factorization.

74814505290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340636 (or 340633 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 74814505290 in words is "seventy-four billion, eight hundred fourteen million, five hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 349 630 698 1047 1745 2094 2443 3141 3490 4886 5235 6282 7329 10470 12215 14658 15705 21987 24430 31410 36645 43974 73290 109935 219870 340267 680534 1020801 1701335 2041602 2381869 3062403 3402670 4763738 5104005 6124806 7145607 10208010 11909345 14291214 15312015 21436821 23818690 30624030 35728035 42873642 71456070 107184105 118753183 214368210 237506366 356259549 593765915 712519098 831272281 1068778647 1187531830 1662544562 1781297745 2137557294 2493816843 3562595490 4156361405 4987633686 5343893235 7481450529 8312722810 10687786470 12469084215 14962901058 24938168430 37407252645 74814505290