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245324350251225 = 325271715139605221
BaseRepresentation
bin110111110001111100000110…
…110000000110000011011001
31012011121210000202220011002200
4313301330012300012003121
5224123343232131014400
62225432241201520413
7102450046044651210
oct6761740660060331
91164553022804080
10245324350251225
1171193522140343
1223621604643109
13a6b6caa48917b
144481a94958077
151d566b17b5b00
hexdf1f06c060d9

245324350251225 has 144 divisors (see below), whose sum is σ = 531750760594560. Its totient is φ = 105544170547200.

The previous prime is 245324350251163. The next prime is 245324350251283. The reversal of 245324350251225 is 522152053423542.

245324350251225 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 24 + 350 + 2 + 51 + 225 = 666.

It is not a de Polignac number, because 245324350251225 - 221 = 245324348154073 is a prime.

It is a super-2 number, since 2×2453243502512252 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 405044115 + ... + 405649335.

It is an arithmetic number, because the mean of its divisors is an integer number (3692713615240).

Almost surely, 2245324350251225 is an apocalyptic number.

245324350251225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245324350251225 is an abundant number, since it is smaller than the sum of its proper divisors (286426410343335).

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

245324350251225 is a wasteful number, since it uses less digits than its factorization.

245324350251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620400 (or 620392 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 245324350251225 in words is "two hundred forty-five trillion, three hundred twenty-four billion, three hundred fifty million, two hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3825 5355 8925 15139 26775 45417 75695 105973 136251 227085 257363 317919 378475 529865 605221 681255 772089 953757 1135425 1286815 1589595 1801541 1815663 2316267 2649325 3026105 3406275 3860445 4236547 4768785 5404623 5446989 6434075 7947975 9007705 9078315 10288757 11581335 12709641 15130525 16213869 19302225 21182735 23843925 27023115 27234945 30866271 38128923 45038525 45391575 51443785 57906675 63548205 72021299 81069345 92598813 105913675 135115575 136174725 154331355 190644615 216063897 257218925 317741025 360106495 405346725 462994065 648191691 771656775 953223075 1080319485 1800532475 2314970325 3240958455 5401597425 9162440719 16204792275 27487322157 45812203595 64137085033 82461966471 137436610785 155761492223 192411255099 229061017975 320685425165 412309832355 467284476669 577233765297 687183053925 778807461115 962056275495 1090330445561 1401853430007 1603427125825 2061549161775 2336422383345 2886168826485 3270991336683 3894037305575 4810281377475 5451652227805 7009267150035 9812974010049 11682111916725 14430844132425 16354956683415 27258261139025 35046335750175 49064870050245 81774783417075 245324350251225