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2664144501552 = 24336167001161
BaseRepresentation
bin100110110001001011011…
…000101111101100110000
3100102200121210220012112000
4212301023120233230300
5322122131443022202
65355520250334000
7363322661423502
oct46611330575460
910380553805460
102664144501552
11937948131836
123703b472a300
131642c6495731
1492d33bd3d72
154947936891c
hex26c4b62fb30

2664144501552 has 40 divisors (see below), whose sum is σ = 7647081440880. Its totient is φ = 888048167040.

The previous prime is 2664144501493. The next prime is 2664144501589. The reversal of 2664144501552 is 2551054414662.

2664144501552 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 1 + 44 + 50 + 1 + 552 = 666.

2664144501552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2664144501498 and 2664144501507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3083500149 + ... + 3083501012.

It is an arithmetic number, because the mean of its divisors is an integer number (191177036022).

Almost surely, 22664144501552 is an apocalyptic number.

It is an amenable number.

2664144501552 is an abundant number, since it is smaller than the sum of its proper divisors (4982936939328).

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

2664144501552 is a wasteful number, since it uses less digits than its factorization.

2664144501552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167001178 (or 6167001166 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2664144501552 in words is "two trillion, six hundred sixty-four billion, one hundred forty-four million, five hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6167001161 12334002322 18501003483 24668004644 37002006966 49336009288 55503010449 74004013932 98672018576 111006020898 148008027864 166509031347 222012041796 296016055728 333018062694 444024083592 666036125388 888048167184 1332072250776 2664144501552