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172990072080 = 24325759581753
BaseRepresentation
bin1010000100011100000…
…0110000010100010000
3121112111222100011220200
42201013000300110100
510313240424301310
6211245345335200
715332566231320
oct2410700602420
9545458304820
10172990072080
1167401427621
122963a037500
131340b5737c7
148530c17280
1547770cc9c0
hex2847030510

172990072080 has 240 divisors, whose sum is σ = 675206962560. Its totient is φ = 38870341632.

The previous prime is 172990072067. The next prime is 172990072111. The reversal of 172990072080 is 80270099271.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6484 + ... + 588236.

It is an arithmetic number, because the mean of its divisors is an integer number (2813362344).

Almost surely, 2172990072080 is an apocalyptic number.

172990072080 is a gapful number since it is divisible by the number (10) 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 172990072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337603481280).

172990072080 is an abundant number, since it is smaller than the sum of its proper divisors (502216890480).

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

172990072080 is a wasteful number, since it uses less digits than its factorization.

172990072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581838 (or 581829 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 172990072080 in words is "one hundred seventy-two billion, nine hundred ninety million, seventy-two thousand, eighty".