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90908952476225 = 52131990529162623
BaseRepresentation
bin10100101010111001100011…
…110100011011101001000001
3102220212210220012112021100012
4110222321203310123221001
543403423013313214400
6521202555103434305
725101645406164152
oct2452714364335101
9386783805467305
1090908952476225
1126a6a2a7754934
12a2429202b5995
133b958a6427840
14186403406d929
15a79b3cce8d35
hex52ae63d1ba41

90908952476225 has 48 divisors (see below), whose sum is σ = 127790004249600. Its totient is φ = 63598367877120.

The previous prime is 90908952476171. The next prime is 90908952476269. The reversal of 90908952476225 is 52267425980909.

It is not a de Polignac number, because 90908952476225 - 226 = 90908885367361 is a prime.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 558935264 + ... + 559097886.

It is an arithmetic number, because the mean of its divisors is an integer number (2662291755200).

Almost surely, 290908952476225 is an apocalyptic number.

90908952476225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90908952476225 is a deficient number, since it is larger than the sum of its proper divisors (36881051773375).

90908952476225 is a wasteful number, since it uses less digits than its factorization.

90908952476225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253194 (or 253189 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 68.

The spelling of 90908952476225 in words is "ninety trillion, nine hundred eight billion, nine hundred fifty-two million, four hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 247 325 475 1235 6175 90529 162623 452645 813115 1176877 1720051 2114099 2263225 3089837 4065575 5884385 8600255 10570495 15449185 22360663 29421925 40167881 43001275 52852475 77245925 111803315 200839405 559016575 1004197025 14722097567 73610487835 191387268371 279719853773 368052439175 956936341855 1398599268865 3636358099049 4784681709275 6992996344325 18181790495245 90908952476225