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42306169968 = 243397930949
BaseRepresentation
bin100111011001101001…
…001110110001110000
311001012101112002222000
4213121221032301300
51143120334414333
631234000014000
73025246340256
oct473151166160
9131171462860
1042306169968
1116a3a803737
128248301300
133cb2aa7b8a
1420949a45d6
1511791c6713
hex9d9a4ec70

42306169968 has 40 divisors (see below), whose sum is σ = 121434378000. Its totient is φ = 14102056512.

The previous prime is 42306169967. The next prime is 42306169973. The reversal of 42306169968 is 86996160324.

42306169968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423061699682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42306169967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48965043 + ... + 48965906.

It is an arithmetic number, because the mean of its divisors is an integer number (3035859450).

Almost surely, 242306169968 is an apocalyptic number.

42306169968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42306169968 is an abundant number, since it is smaller than the sum of its proper divisors (79128208032).

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

42306169968 is a wasteful number, since it uses less digits than its factorization.

42306169968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97930966 (or 97930954 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 42306169968 in words is "forty-two billion, three hundred six million, one hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 97930949 195861898 293792847 391723796 587585694 783447592 881378541 1175171388 1566895184 1762757082 2350342776 2644135623 3525514164 4700685552 5288271246 7051028328 10576542492 14102056656 21153084984 42306169968