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42543535600749 = 3192389364620331
BaseRepresentation
bin10011010110001011100000…
…10100111011010001101101
312120122010022010220020110110
421223011300110323101231
521034013130103210444
6230252121435330233
711650445320655031
oct1153056024732155
9176563263806413
1042543535600749
1112612680814587
12493127bbb0979
131a97ab8681ab1
14a711921441c1
154db9c5904cb9
hex26b17053b46d

42543535600749 has 32 divisors (see below), whose sum is σ = 63006393369600. Its totient is φ = 25412578519680.

The previous prime is 42543535600733. The next prime is 42543535600763. The reversal of 42543535600749 is 94700653534524.

42543535600749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42543535600749 - 24 = 42543535600733 is a prime.

It is a super-2 number, since 2×425435356007492 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42543535600949) by changing a digit.

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, 182193487 + ... + 182426844.

It is an arithmetic number, because the mean of its divisors is an integer number (1968949792800).

Almost surely, 242543535600749 is an apocalyptic number.

It is an amenable number.

42543535600749 is a deficient number, since it is larger than the sum of its proper divisors (20462857768851).

42543535600749 is a wasteful number, since it uses less digits than its factorization.

42543535600749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364620465.

The product of its (nonzero) digits is 54432000, while the sum is 57.

The spelling of 42543535600749 in words is "forty-two trillion, five hundred forty-three billion, five hundred thirty-five million, six hundred thousand, seven hundred forty-nine".

Divisors: 1 3 19 23 57 69 89 267 437 1311 1691 2047 5073 6141 38893 116679 364620331 1093860993 6927786289 8386267613 20783358867 25158802839 32451209459 97353628377 159339084647 478017253941 616572979721 746377817557 1849718939163 2239133452671 14181178533583 42543535600749