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73215525120 = 2835291793673
BaseRepresentation
bin100010000101111111…
…1000100000100000000
320222222111221001002120
41010023333010010000
52144421133300440
653345034444240
75201230460313
oct1041377040400
9228874831076
1073215525120
1129061289751
1212233893680
136b9a69083a
143787ac297a
151d87a78dd0
hex110bfc4100

73215525120 has 288 divisors, whose sum is σ = 243312854400. Its totient is φ = 18740477952.

The previous prime is 73215525107. The next prime is 73215525143. The reversal of 73215525120 is 2152551237.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19931604 + ... + 19935276.

It is an arithmetic number, because the mean of its divisors is an integer number (844836300).

Almost surely, 273215525120 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 73215525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121656427200).

73215525120 is an abundant number, since it is smaller than the sum of its proper divisors (170097329280).

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

73215525120 is a wasteful number, since it uses less digits than its factorization.

73215525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 73215525120 in words is "seventy-three billion, two hundred fifteen million, five hundred twenty-five thousand, one hundred twenty".