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13377454636 = 22713374012477
BaseRepresentation
bin11000111010101101…
…11100001000101100
31021112022001002212211
430131112330020230
5204344112022021
610051233140204
7652335326320
oct143526741054
937468032784
1013377454636
115745251737
1227140ba664
13135264b440
1490c941980
155346603e1
hex31d5bc22c

13377454636 has 96 divisors (see below), whose sum is σ = 29677479552. Its totient is φ = 5134233600.

The previous prime is 13377454633. The next prime is 13377454637. The reversal of 13377454636 is 63645477331.

13377454636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13377454636.

It is not an unprimeable number, because it can be changed into a prime (13377454633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5399430 + ... + 5401906.

It is an arithmetic number, because the mean of its divisors is an integer number (309140412).

Almost surely, 213377454636 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 13377454636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838739776).

13377454636 is an abundant number, since it is smaller than the sum of its proper divisors (16300024916).

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

13377454636 is a wasteful number, since it uses less digits than its factorization.

13377454636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2937 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 49.

The spelling of 13377454636 in words is "thirteen billion, three hundred seventy-seven million, four hundred fifty-four thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 401 481 518 802 962 1036 1604 1924 2477 2807 3367 4954 5213 5614 6734 9908 10426 11228 13468 14837 17339 20852 29674 32201 34678 36491 59348 64402 69356 72982 91649 103859 128804 145964 183298 192881 207718 225407 366596 385762 415436 450814 641543 771524 901628 993277 1191437 1283086 1350167 1986554 2382874 2566172 2700334 3973108 4765748 5400668 6952939 8340059 12912601 13905878 16680118 25825202 27811756 33360236 36751249 51650404 73502498 90388207 147004996 180776414 257258743 361552828 477766237 514517486 955532474 1029034972 1911064948 3344363659 6688727318 13377454636