Search a number
-
+
73240215552 = 21637773
BaseRepresentation
bin100010000110101110…
…1010000000000000000
321000001020101110000000
41010031131100000000
52144443443344202
653351320000000
75201650363140
oct1041535200000
9230036343000
1073240215552
1129074212a69
1212240000000
136ba2826b6a
14378b0ac920
151d89d0491c
hex110d750000

73240215552 has 544 divisors, whose sum is σ = 254508424960. Its totient is φ = 20639121408.

The previous prime is 73240215539. The next prime is 73240215563. The reversal of 73240215552 is 25551204237.

73240215552 is a `hidden beast` number, since 73 + 24 + 0 + 2 + 15 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003290588 + ... + 1003290660.

Almost surely, 273240215552 is an apocalyptic number.

73240215552 is a gapful number since it is divisible by the number (72) 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 73240215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127254212480).

73240215552 is an abundant number, since it is smaller than the sum of its proper divisors (181268209408).

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

73240215552 is an frugal number, since it uses more digits than its factorization.

73240215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 73240215552 its reverse (25551204237), we get a palindrome (98791419789).

The spelling of 73240215552 in words is "seventy-three billion, two hundred forty million, two hundred fifteen thousand, five hundred fifty-two".