Search a number
-
+
74722301680 = 245131979151317
BaseRepresentation
bin100010110010111001…
…0111101011011110000
321010212112012012221211
41011211302331123300
52211012402123210
654154342125504
75253455041015
oct1054562753360
9233775165854
1074722301680
1129764878234
1212594420894
13707a8b63c0
14388bc6b70c
151e24eb138a
hex1165cbd6f0

74722301680 has 320 divisors, whose sum is σ = 201387110400. Its totient is φ = 25555046400.

The previous prime is 74722301671. The next prime is 74722301711. The reversal of 74722301680 is 8610322747.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235716882 + ... + 235717198.

It is an arithmetic number, because the mean of its divisors is an integer number (629334720).

Almost surely, 274722301680 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 74722301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100693555200).

74722301680 is an abundant number, since it is smaller than the sum of its proper divisors (126664808720).

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

74722301680 is a wasteful number, since it uses less digits than its factorization.

74722301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 74722301680 in words is "seventy-four billion, seven hundred twenty-two million, three hundred one thousand, six hundred eighty".