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34416020166415 = 51710131112890209
BaseRepresentation
bin1111101001101000110101…
…01010000001011100001111
311111212010202121201121022221
413310310122222001130033
514002333002130311130
6201110300145120211
710151322030435016
oct764643252013417
9144763677647287
1034416020166415
11aa69830184178
123a3a07b629067
131628555870314
1486da5c38da7d
153ea38dd0887a
hex1f4d1aa8170f

34416020166415 has 32 divisors (see below), whose sum is σ = 44303548648320. Its totient is φ = 25574172672000.

The previous prime is 34416020166397. The next prime is 34416020166421. The reversal of 34416020166415 is 51466102061443.

It is not a de Polignac number, because 34416020166415 - 25 = 34416020166383 is a prime.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 3775170 + ... + 9115039.

It is an arithmetic number, because the mean of its divisors is an integer number (1384485895260).

Almost surely, 234416020166415 is an apocalyptic number.

34416020166415 is a deficient number, since it is larger than the sum of its proper divisors (9887528481905).

34416020166415 is a wasteful number, since it uses less digits than its factorization.

34416020166415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12890643.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 34416020166415 in words is "thirty-four trillion, four hundred sixteen billion, twenty million, one hundred sixty-six thousand, four hundred fifteen".

Divisors: 1 5 17 85 101 311 505 1555 1717 5287 8585 26435 31411 157055 533987 2669935 12890209 64451045 219133553 1095667765 1301911109 4008854999 6509555545 20044274995 22132488853 68150534983 110662444265 340752674915 404894354899 2024471774495 6883204033283 34416020166415