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42003215632629 = 3222929369556373
BaseRepresentation
bin10011000110011101000101…
…01111110100100011110101
312111201110122022112220222100
421203032202233310203311
521001140041200221004
6225200002203252313
711563426561011036
oct1143164257644365
9174643568486870
1042003215632629
1112424511226289
124864607b1a099
131a58b6a0b1c24
14a52d76062a8d
154cc900184739
hex2633a2bf48f5

42003215632629 has 24 divisors (see below), whose sum is σ = 61144226128440. Its totient is φ = 27784710133632.

The previous prime is 42003215632541. The next prime is 42003215632661. The reversal of 42003215632629 is 92623651230024.

42003215632629 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 3 + 2 + 1 + 5 + 632 + 6 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19345834592100 + 22657381040529 = 4398390^2 + 4759977^2 .

It is not a de Polignac number, because 42003215632629 - 213 = 42003215624437 is a prime.

It is a super-2 number, since 2×420032156326292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003215637629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34174314 + ... + 35382059.

It is an arithmetic number, because the mean of its divisors is an integer number (2547676088685).

Almost surely, 242003215632629 is an apocalyptic number.

It is an amenable number.

42003215632629 is a deficient number, since it is larger than the sum of its proper divisors (19141010495811).

42003215632629 is a wasteful number, since it uses less digits than its factorization.

42003215632629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69556901 (or 69556898 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 42003215632629 in words is "forty-two trillion, three billion, two hundred fifteen million, six hundred thirty-two thousand, six hundred twenty-nine".

Divisors: 1 3 9 229 293 687 879 2061 2637 67097 201291 603873 69556373 208669119 626007357 15928409417 20380017289 47785228251 61140051867 143355684753 183420155601 4667023959181 14001071877543 42003215632629