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26480669451216 = 2437317834238513
BaseRepresentation
bin1100000010101100000101…
…11001010110001111010000
310110202112020101101010222020
412001112002321112033100
511432324402334414331
6132153015051411440
75402110450324401
oct601260271261720
9113675211333866
1026480669451216
11848a430612532
122b7816a753b80
1311a11689bb346
14677957c4d9a8
1530dc52871c96
hex181582e563d0

26480669451216 has 80 divisors (see below), whose sum is σ = 69384406363776. Its totient is φ = 8701088698368.

The previous prime is 26480669451127. The next prime is 26480669451217. The reversal of 26480669451216 is 61215496608462.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26480669451216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26480669451217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4128376 + ... + 8366888.

Almost surely, 226480669451216 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 26480669451216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34692203181888).

26480669451216 is an abundant number, since it is smaller than the sum of its proper divisors (42903736912560).

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

26480669451216 is a wasteful number, since it uses less digits than its factorization.

26480669451216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240380 (or 4240374 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 26480669451216 in words is "twenty-six trillion, four hundred eighty billion, six hundred sixty-nine million, four hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 1783 3504 3566 5349 7132 10698 14264 21396 28528 42792 85584 130159 260318 390477 520636 780954 1041272 1561908 2082544 3123816 4238513 6247632 8477026 12715539 16954052 25431078 33908104 50862156 67816208 101724312 203448624 309411449 618822898 928234347 1237645796 1856468694 2475291592 3712937388 4950583184 7425874776 7557268679 14851749552 15114537358 22671806037 30229074716 45343612074 60458149432 90687224148 120916298864 181374448296 362748896592 551680613567 1103361227134 1655041840701 2206722454268 3310083681402 4413444908536 6620167362804 8826889817072 13240334725608 26480669451216