Search a number
-
+
2556763068192 = 25334057782011
BaseRepresentation
bin100101001101001010111…
…101000101011100100000
3100001102110012210012021120
4211031022331011130200
5313342222321140232
65234321041452240
7352501654333224
oct45151275053440
910042405705246
102556763068192
118a6354108593
12353626941080
1315714263c658
148ba686c6784
15467920bc92c
hex2534af45720

2556763068192 has 48 divisors (see below), whose sum is σ = 6711708703392. Its totient is φ = 852228241920.

The previous prime is 2556763068173. The next prime is 2556763068193. The reversal of 2556763068192 is 2918603676552.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2556763068193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2878467 + ... + 3660477.

It is an arithmetic number, because the mean of its divisors is an integer number (139827264654).

Almost surely, 22556763068192 is an apocalyptic number.

It is an amenable number.

2556763068192 is an abundant number, since it is smaller than the sum of its proper divisors (4154945635200).

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

2556763068192 is a wasteful number, since it uses less digits than its factorization.

2556763068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816081 (or 816073 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 2556763068192 in words is "two trillion, five hundred fifty-six billion, seven hundred sixty-three million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34057 68114 102171 136228 204342 272456 408684 544912 782011 817368 1089824 1564022 1634736 2346033 3128044 3269472 4692066 6256088 9384132 12512176 18768264 25024352 37536528 75073056 26632948627 53265897254 79898845881 106531794508 159797691762 213063589016 319595383524 426127178032 639190767048 852254356064 1278381534096 2556763068192