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245045344252104 = 233211784013946387
BaseRepresentation
bin110111101101111000010000…
…101100101011000011001000
31012010122002212100212212110200
4313231320100230223003020
5224104310331112031404
62225100135503012200
7102420641032046304
oct6755702054530310
91163562770785420
10245045344252104
11710961685696a0
1223597519b9a060
13a6968a4c518b6
144472387b26d04
151d4e2d226b839
hexdede10b2b0c8

245045344252104 has 96 divisors (see below), whose sum is σ = 724007026023840. Its totient is φ = 74255198976000.

The previous prime is 245045344252087. The next prime is 245045344252109. The reversal of 245045344252104 is 401252443540542.

245045344252104 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 4 + 5 + 3 + 4 + 425 + 210 + 4 = 666.

It is a super-2 number, since 2×2450453442521042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245045344252104.

It is not an unprimeable number, because it can be changed into a prime (245045344252109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60120399 + ... + 64066785.

It is an arithmetic number, because the mean of its divisors is an integer number (7541739854415).

Almost surely, 2245045344252104 is an apocalyptic number.

245045344252104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245045344252104 is an abundant number, since it is smaller than the sum of its proper divisors (478961681771736).

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

245045344252104 is a wasteful number, since it uses less digits than its factorization.

245045344252104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024811 (or 4024804 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 245045344252104 its reverse (401252443540542), we get a palindrome (646297787792646).

The spelling of 245045344252104 in words is "two hundred forty-five trillion, forty-five billion, three hundred forty-four million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 78401 156802 235203 313604 470406 627208 705609 862411 940812 1411218 1724822 1881624 2587233 2822436 3449644 3946387 5174466 5644872 6899288 7761699 7892774 10348932 11839161 15523398 15785548 20697864 23678322 31046796 31571096 35517483 43410257 47356644 62093592 71034966 86820514 94713288 130230771 142069932 173641028 260461542 284139864 347282056 390692313 520923084 781384626 1041846168 1562769252 3125538504 309400687187 618801374374 928202061561 1237602748748 1856404123122 2475205497496 2784606184683 3403407559057 3712808246244 5569212369366 6806815118114 7425616492488 10210222677171 11138424738732 13613630236228 20420445354342 22276849477464 27227260472456 30630668031513 40840890708684 61261336063026 81681781417368 122522672126052 245045344252104