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55048164108025 = 5211227724872
BaseRepresentation
bin11001000010000111001100…
…10001000110011011111001
321012220112221012112120211211
430201003212101012123321
524203402120002424100
6313024435533523121
714411045552353264
oct1441034621063371
9235815835476754
1055048164108025
11165a3882599900
1262108529434a1
1324940340ab13a
14d844b9943cdb
15656de097d1ba
hex3210e64466f9

55048164108025 has 81 divisors (see below), whose sum is σ = 75456064465677. Its totient is φ = 39808586980800.

The previous prime is 55048164108013. The next prime is 55048164108037. The reversal of 55048164108025 is 52080146184055.

The square root of 55048164108025 is 7419445.

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

It is an interprime number because it is at equal distance from previous prime (55048164108013) and next prime (55048164108037).

It can be written as a sum of positive squares in 4 ways, for example, as 12614508959481 + 42433655148544 = 3551691^2 + 6514112^2 .

It is not a de Polignac number, because 55048164108025 - 29 = 55048164107513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55048164108025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113035244332 + ... + 113035244818.

Almost surely, 255048164108025 is an apocalyptic number.

55048164108025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55048164108025 is the 7419445-th square number.

55048164108025 is the 3709723-rd centered octagonal number.

It is an amenable number.

55048164108025 is a deficient number, since it is larger than the sum of its proper divisors (20407900357652).

55048164108025 is an frugal number, since it uses more digits than its factorization.

55048164108025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 49.

The spelling of 55048164108025 in words is "fifty-five trillion, forty-eight billion, one hundred sixty-four million, one hundred eight thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 277 487 605 1385 2435 3025 3047 5357 6925 12175 15235 26785 33517 58927 76175 76729 133925 134899 167585 237169 294635 383645 674495 837925 844019 1185845 1473175 1483889 1918225 2608859 3372475 4220095 5929225 7419445 9284209 13044295 16322779 21100475 28697449 37097225 37367023 46421045 65221475 65695813 81613895 143487245 186835115 232105225 328479065 408069475 411037253 717436225 722653943 934175575 1642395325 2055186265 3613269715 4521409783 7949193373 10275931325 18066348575 18197740201 22607048915 39745966865 90988701005 113035244575 198729834325 200175142211 454943505025 1000875711055 2201926564321 5004378555275 11009632821605 55048164108025