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42653233235624 = 23112959283282193
BaseRepresentation
bin10011011001010111110101…
…10100001100011010101000
312121000121110011100110212012
421230223322310030122220
521042312310202014444
6230414342544335052
711661410611325354
oct1154537264143250
9177017404313765
1042653233235624
1112655153215260
12494a595614488
131aa524b33350b
14a765db0da464
154de7961c2b9e
hex26cafad0c6a8

42653233235624 has 64 divisors (see below), whose sum is σ = 91783430856000. Its totient is φ = 18402011192320.

The previous prime is 42653233235519. The next prime is 42653233235651.

42653233235624 is nontrivially palindromic in base 10.

42653233235624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 141490529 + ... + 141791664.

It is an arithmetic number, because the mean of its divisors is an integer number (1434116107125).

Almost surely, 242653233235624 is an apocalyptic number.

42653233235624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42653233235624 is an abundant number, since it is smaller than the sum of its proper divisors (49130197620376).

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

42653233235624 is a wasteful number, since it uses less digits than its factorization.

42653233235624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283282298 (or 283282294 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 50.

The spelling of 42653233235624 in words is "forty-two trillion, six hundred fifty-three billion, two hundred thirty-three million, two hundred thirty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 59 88 116 118 232 236 319 472 638 649 1276 1298 1711 2552 2596 3422 5192 6844 13688 18821 37642 75284 150568 283282193 566564386 1133128772 2266257544 3116104123 6232208246 8215183597 12464416492 16430367194 16713649387 24928832984 32860734388 33427298774 65721468776 66854597548 90367019567 133709195096 180734039134 183850143257 361468078268 367700286514 484695832223 722936156536 735400573028 969391664446 1470801146056 1938783328892 3877566657784 5331654154453 10663308308906 21326616617812 42653233235624