Search a number
-
+
74509083740 = 225713233773659
BaseRepresentation
bin100010101100100010…
…1100110010001011100
321010022122222121221002
41011121011212101130
52210043311134430
654121244125432
75245255522250
oct1053105462134
9233278877832
1074509083740
1129665487463
1212534b36878
137045681940
14386b808260
151e113e5845
hex115916645c

74509083740 has 384 divisors, whose sum is σ = 209525944320. Its totient is φ = 21612552192.

The previous prime is 74509083683. The next prime is 74509083749. The reversal of 74509083740 is 4738090547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74509083749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113063531 + ... + 113064189.

It is an arithmetic number, because the mean of its divisors is an integer number (545640480).

Almost surely, 274509083740 is an apocalyptic number.

74509083740 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 74509083740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762972160).

74509083740 is an abundant number, since it is smaller than the sum of its proper divisors (135016860580).

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

74509083740 is a wasteful number, since it uses less digits than its factorization.

74509083740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 74509083740 in words is "seventy-four billion, five hundred nine million, eighty-three thousand, seven hundred forty".