Search a number
-
+
73530778320 = 24335294332711
BaseRepresentation
bin100010001111011000…
…1101010001011010000
321000210111010120012000
41010132301222023100
52201042334401240
653440215434000
75212106205666
oct1043661521320
9230714116160
1073530778320
112920323108a
1212301385900
136c1aa9c2ac
1437b7906c36
151da559c430
hex111ec6a2d0

73530778320 has 320 divisors, whose sum is σ = 262708185600. Its totient is φ = 18881372160.

The previous prime is 73530778319. The next prime is 73530778339. The reversal of 73530778320 is 2387703537.

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 63 ways as a sum of consecutive naturals, for example, 27121765 + ... + 27124475.

It is an arithmetic number, because the mean of its divisors is an integer number (820963080).

Almost surely, 273530778320 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 73530778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131354092800).

73530778320 is an abundant number, since it is smaller than the sum of its proper divisors (189177407280).

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

73530778320 is a wasteful number, since it uses less digits than its factorization.

73530778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 73530778320 in words is "seventy-three billion, five hundred thirty million, seven hundred seventy-eight thousand, three hundred twenty".