Search a number
-
+
2664040143456 = 253290527102181
BaseRepresentation
bin100110110001000101001…
…010101001101001100000
3100102200100112112021010100
4212301011022221221200
5322121423234042311
65355502041502400
7363320253410466
oct46610512515140
910380315467110
102664040143456
119378a4233a7a
123703857a1a00
131642aa987393
1492d23dca836
1549470102a56
hex26c452a9a60

2664040143456 has 72 divisors (see below), whose sum is σ = 7576021986624. Its totient is φ = 887994881280.

The previous prime is 2664040143421. The next prime is 2664040143509. The reversal of 2664040143456 is 6543410404662.

2664040143456 is a `hidden beast` number, since 2 + 66 + 404 + 0 + 143 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26020686 + ... + 26122866.

It is an arithmetic number, because the mean of its divisors is an integer number (105222527592).

Almost surely, 22664040143456 is an apocalyptic number.

It is an amenable number.

2664040143456 is an abundant number, since it is smaller than the sum of its proper divisors (4911981843168).

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

2664040143456 is a wasteful number, since it uses less digits than its factorization.

2664040143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192724 (or 192713 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2664040143456 in words is "two trillion, six hundred sixty-four billion, forty million, one hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 90527 102181 181054 204362 271581 306543 362108 408724 543162 613086 724216 814743 817448 919629 1086324 1226172 1448432 1629486 1634896 1839258 2172648 2452344 2896864 3258972 3269792 3678516 4345296 4904688 6517944 7357032 8690592 9809376 13035888 14714064 26071776 29428128 9250139387 18500278774 27750418161 37000557548 55500836322 74001115096 83251254483 111001672644 148002230192 166502508966 222003345288 296004460384 333005017932 444006690576 666010035864 888013381152 1332020071728 2664040143456