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10010544541 = 232636832423
BaseRepresentation
bin10010101001010110…
…01100100110011101
3221211122121100111221
421110223030212131
5131000144411131
64333200413341
7503033140024
oct112453144635
927748540457
1010010544541
114277767308
121b34617251
13c36c3cb4a
146ad7098bb
153d8c92411
hex254acc99d

10010544541 has 16 divisors (see below), whose sum is σ = 10505189376. Its totient is φ = 9520998256.

The previous prime is 10010544517. The next prime is 10010544553. The reversal of 10010544541 is 14544501001.

10010544541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010544541 - 29 = 10010544029 is a prime.

It is a super-2 number, since 2×100105445412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010544941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4130256 + ... + 4132678.

It is an arithmetic number, because the mean of its divisors is an integer number (656574336).

Almost surely, 210010544541 is an apocalyptic number.

It is an amenable number.

10010544541 is a deficient number, since it is larger than the sum of its proper divisors (494644835).

10010544541 is a wasteful number, since it uses less digits than its factorization.

10010544541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392.

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 10010544541 in words is "ten billion, ten million, five hundred forty-four thousand, five hundred forty-one".

Divisors: 1 23 263 683 2423 6049 15709 55729 179629 637249 1654909 4131467 14656727 38062907 435241067 10010544541