Search a number
-
+
74147931360 = 253654631373
BaseRepresentation
bin100010100001110001…
…1111010010011100000
321002101111102012000000
41011003203322103200
52203323332300420
654021343300000
75233312005666
oct1050343722340
9232344365000
1074147931360
112949a635318
1212453baa600
136cb88c24c9
143835876c36
151dde857690
hex11438fa4e0

74147931360 has 336 divisors, whose sum is σ = 263400548544. Its totient is φ = 19715705856.

The previous prime is 74147931329. The next prime is 74147931373. The reversal of 74147931360 is 6313974147.

74147931360 is a `hidden beast` number, since 7 + 41 + 479 + 3 + 136 + 0 = 666.

It is a super-3 number, since 3×741479313603 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54003634 + ... + 54005006.

It is an arithmetic number, because the mean of its divisors is an integer number (783930204).

Almost surely, 274147931360 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 74147931360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131700274272).

74147931360 is an abundant number, since it is smaller than the sum of its proper divisors (189252617184).

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

74147931360 is a wasteful number, since it uses less digits than its factorization.

74147931360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 74147931360 in words is "seventy-four billion, one hundred forty-seven million, nine hundred thirty-one thousand, three hundred sixty".