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135724272624174 = 23132297598492477
BaseRepresentation
bin11110110111000011000101…
…000011101010001000101110
3122210120010001220211212200110
4132313003011003222020232
5120242201302242433144
61200354511534240450
740405520000201403
oct3667030503521056
9583503056755613
10135724272624174
113a278382632163
1213280334356126
135a96989716aa0
1425731387702aa
1510a5776c660b9
hex7b70c50ea22e

135724272624174 has 32 divisors (see below), whose sum is σ = 293605749349920. Its totient is φ = 41578950828672.

The previous prime is 135724272624163. The next prime is 135724272624179. The reversal of 135724272624174 is 471426272427531.

135724272624174 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1357242726241742 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135724272624179) 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 15 ways as a sum of consecutive naturals, for example, 3799228377 + ... + 3799264100.

It is an arithmetic number, because the mean of its divisors is an integer number (9175179667185).

Almost surely, 2135724272624174 is an apocalyptic number.

135724272624174 is an abundant number, since it is smaller than the sum of its proper divisors (157881476725746).

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

135724272624174 is a wasteful number, since it uses less digits than its factorization.

135724272624174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598492724.

The product of its digits is 31610880, while the sum is 57.

The spelling of 135724272624174 in words is "one hundred thirty-five trillion, seven hundred twenty-four billion, two hundred seventy-two million, six hundred twenty-four thousand, one hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 229 458 687 1374 2977 5954 8931 17862 7598492477 15196984954 22795477431 45590954862 98780402201 197560804402 296341206603 592682413206 1740054777233 3480109554466 5220164331699 10440328663398 22620712104029 45241424208058 67862136312087 135724272624174