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2472969358080 = 283251361421643
BaseRepresentation
bin100011111111001000011…
…101011100101100000000
322202102011111010200100200
4203333020131130230000
5311004120123424310
65132022203445200
7343444325500254
oct43771035345400
98672144120320
102472969358080
118738648069a1
1233b340526800
1314c27a563370
1487999b76264
15444daa269c0
hex23fc875cb00

2472969358080 has 864 divisors, whose sum is σ = 9402287923392. Its totient is φ = 596400537600.

The previous prime is 2472969358063. The next prime is 2472969358081. The reversal of 2472969358080 is 808539692742.

2472969358080 is a `hidden beast` number, since 2 + 47 + 2 + 9 + 6 + 9 + 3 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×24729693580802 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2472969357999 and 2472969358017.

It is not an unprimeable number, because it can be changed into a prime (2472969358081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3845986239 + ... + 3845986881.

Almost surely, 22472969358080 is an apocalyptic number.

2472969358080 is a gapful number since it is divisible by the number (20) 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 2472969358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701143961696).

2472969358080 is an abundant number, since it is smaller than the sum of its proper divisors (6929318565312).

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

2472969358080 is a wasteful number, since it uses less digits than its factorization.

2472969358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2472969358080 in words is "two trillion, four hundred seventy-two billion, nine hundred sixty-nine million, three hundred fifty-eight thousand, eighty".