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23057704134 = 2342910745869
BaseRepresentation
bin10101011110010110…
…001010010011000110
32012111221010201210000
4111132112022103012
5334210233013014
614331554342130
71444251152133
oct253626122306
965457121700
1023057704134
119862522433
124575b8a946
13223601411a
14118a42d58a
158ee40c509
hex55e58a4c6

23057704134 has 80 divisors (see below), whose sum is σ = 53948624400. Its totient is φ = 7351356096.

The previous prime is 23057704121. The next prime is 23057704147. The reversal of 23057704134 is 43140775032.

23057704134 is a `hidden beast` number, since 230 + 5 + 7 + 7 + 0 + 413 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23057704121) and next prime (23057704147).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 479752 + ... + 525620.

It is an arithmetic number, because the mean of its divisors is an integer number (674357805).

Almost surely, 223057704134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23057704134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974312200).

23057704134 is an abundant number, since it is smaller than the sum of its proper divisors (30890920266).

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

23057704134 is a wasteful number, since it uses less digits than its factorization.

23057704134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46019 (or 46010 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

It can be divided in two parts, 230577041 and 34, that added together give a triangular number (230577075 = T21474).

The spelling of 23057704134 in words is "twenty-three billion, fifty-seven million, seven hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 107 162 174 214 261 321 522 642 783 963 1566 1926 2349 2889 3103 4698 5778 6206 8667 9309 17334 18618 27927 45869 55854 83781 91738 137607 167562 251343 275214 412821 502686 825642 1238463 1330201 2476926 2660402 3715389 3990603 4907983 7430778 7981206 9815966 11971809 14723949 23943618 29447898 35915427 44171847 71830854 88343694 107746281 132515541 142331507 215492562 265031082 284663014 397546623 426994521 795093246 853989042 1280983563 2561967126 3842950689 7685901378 11528852067 23057704134