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55076064755625 = 325453218672
BaseRepresentation
bin11001000010111011001010…
…10001100111111110101001
321020000012221122112100010100
430201131211101213332221
524204331240034140000
6313045332253340013
714413054141063224
oct1441354521477651
9236005848470110
1055076064755625
111660469a7a7351
12621613a797609
13249685c551084
14d859a52305bb
156579c511ba00
hex321765467fa9

55076064755625 has 135 divisors (see below), whose sum is σ = 101376442890723. Its totient is φ = 28804240296000.

The previous prime is 55076064755533. The next prime is 55076064755627. The reversal of 55076064755625 is 52655746067055.

The square root of 55076064755625 is 7421325.

It is a perfect power (a square), and thus also a powerful number.

55076064755625 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 6 + 0 + 64 + 7 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30560851506969 + 24515213248656 = 5528187^2 + 4951284^2 .

It is not a de Polignac number, because 55076064755625 - 243 = 46279971733417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55076064755627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29499765942 + ... + 29499767808.

Almost surely, 255076064755625 is an apocalyptic number.

55076064755625 is the 7421325-th square number.

55076064755625 is the 3710663-rd centered octagonal number.

It is an amenable number.

55076064755625 is a deficient number, since it is larger than the sum of its proper divisors (46300378135098).

55076064755625 is an frugal number, since it uses more digits than its factorization.

55076064755625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 264600000, while the sum is 63.

The spelling of 55076064755625 in words is "fifty-five trillion, seventy-six billion, sixty-four million, seven hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 125 159 225 265 375 477 625 795 1125 1325 1867 1875 2385 2809 3975 5601 5625 6625 8427 9335 11925 14045 16803 19875 25281 28005 33125 42135 46675 59625 70225 84015 98951 99375 126405 140025 210675 233375 296853 298125 351125 420075 494755 632025 700125 890559 1053375 1166875 1484265 1755625 2100375 2473775 3160125 3485689 3500625 4452795 5244403 5266875 7421325 10457067 10501875 12368875 15733209 15800625 17428445 22263975 26222015 31371201 37106625 47199627 52285335 61844375 78666045 87142225 111319875 131110075 156856005 184741517 185533125 235998135 261426675 393330225 435711125 554224551 556599375 655550375 784280025 923707585 1179990675 1307133375 1662673653 1966651125 2178555625 2771122755 3277751875 3921400125 4618537925 5899953375 6535666875 8313368265 9791300401 9833255625 13855613775 19607000625 23092689625 29373901203 29499766875 41566841325 48956502005 69278068875 88121703609 115463448125 146869506015 207834206625 244782510025 346390344375 440608518045 734347530075 1039171033125 1223912550125 2203042590225 3671737650375 6119562750625 11015212951125 18358688251875 55076064755625