Search a number
-
+
15438163840 = 275112192921
BaseRepresentation
bin11100110000010111…
…11010111110000000
31110211220121222110221
432120023322332000
5223104132220330
611031525232424
71054400141011
oct163013727600
943756558427
1015438163840
116602493aa0
122baa262714
1315c05604b8
14a664c1008
15605515b7a
hex3982faf80

15438163840 has 64 divisors (see below), whose sum is σ = 40262047920. Its totient is φ = 5613875200.

The previous prime is 15438163831. The next prime is 15438163843. The reversal of 15438163840 is 4836183451.

15438163840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×154381638403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15438163843) 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 7 ways as a sum of consecutive naturals, for example, 1089421 + ... + 1103500.

Almost surely, 215438163840 is an apocalyptic number.

15438163840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15438163840 is an abundant number, since it is smaller than the sum of its proper divisors (24823884080).

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

15438163840 is a wasteful number, since it uses less digits than its factorization.

15438163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192951 (or 2192939 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 15438163840 in words is "fifteen billion, four hundred thirty-eight million, one hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 2192921 4385842 8771684 10964605 17543368 21929210 24122131 35086736 43858420 48244262 70173472 87716840 96488524 120610655 140346944 175433680 192977048 241221310 280693888 350867360 385954096 482442620 701734720 771908192 964885240 1403469440 1543816384 1929770480 3087632768 3859540960 7719081920 15438163840