Search a number
-
+
26675009984 = 267163365291
BaseRepresentation
bin11000110101111101…
…000101100111000000
32112212000201220112202
4120311331011213000
5414112300304414
620130534012332
71633013562260
oct306575054700
975760656482
1026675009984
11103493908a7
1252054a70a8
13269157329c
141410a057a0
15a61c8b9de
hex635f459c0

26675009984 has 56 divisors (see below), whose sum is σ = 60866414208. Its totient is φ = 11361980160.

The previous prime is 26675009971. The next prime is 26675009993. The reversal of 26675009984 is 48990057662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 109622 + ... + 255669.

Almost surely, 226675009984 is an apocalyptic number.

It is an amenable number.

26675009984 is an abundant number, since it is smaller than the sum of its proper divisors (34191404224).

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

26675009984 is a wasteful number, since it uses less digits than its factorization.

26675009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365473 (or 365463 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 26675009984 in words is "twenty-six billion, six hundred seventy-five million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 4564 5216 9128 10432 18256 36512 73024 365291 730582 1461164 2557037 2922328 5114074 5844656 10228148 11689312 20456296 23378624 40912592 59542433 81825184 119084866 163650368 238169732 416797031 476339464 833594062 952678928 1667188124 1905357856 3334376248 3810715712 6668752496 13337504992 26675009984