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13607842620084 = 22323316592413421
BaseRepresentation
bin1100011000000101001010…
…1000000010001010110100
31210011220012221121222000020
43012001102220002022310
53240422330202320314
644535205005245140
72603064011542116
oct306012250021264
953156187558006
1013607842620084
114377065448899
12163935ab637b0
137792a2374a0b
143508a1ac73b6
15188e87cb3da9
hexc6052a022b4

13607842620084 has 96 divisors (see below), whose sum is σ = 34252829614080. Its totient is φ = 4192400150400.

The previous prime is 13607842620077. The next prime is 13607842620089. The reversal of 13607842620084 is 48002624870631.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13607842620089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4431694 + ... + 6845114.

It is an arithmetic number, because the mean of its divisors is an integer number (356800308480).

Almost surely, 213607842620084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13607842620084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126414807040).

13607842620084 is an abundant number, since it is smaller than the sum of its proper divisors (20644986993996).

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

13607842620084 is a wasteful number, since it uses less digits than its factorization.

13607842620084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414141 (or 2414139 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 13607842620084 in words is "thirteen trillion, six hundred seven billion, eight hundred forty-two million, six hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 659 713 1318 1426 1977 2139 2636 2852 3954 4278 7908 8556 15157 20429 30314 40858 45471 60628 61287 81716 90942 122574 181884 245148 469867 939734 1409601 1879468 2413421 2819202 4826842 5638404 7240263 9653684 14480526 28961052 55508683 74816051 111017366 149632102 166526049 222034732 224448153 299264204 333052098 448896306 666104196 897792612 1590444439 1720769173 3180888878 3441538346 4771333317 5162307519 6361777756 6883076692 9542666634 10324615038 19085333268 20649230076 36580222097 49303777609 73160444194 98607555218 109740666291 146320888388 147911332827 197215110436 219481332582 295822665654 438962665164 591645331308 1133986885007 2267973770014 3401960655021 4535947540028 6803921310042 13607842620084