Search a number
-
+
13722363984 = 243753770573
BaseRepresentation
bin11001100011110101…
…01010100001010000
31022102100001022120010
430301322222201100
5211100411121414
610145353514520
7664024112040
oct146172524120
938370038503
1013722363984
115901a0a18a
1227ab712a40
1313a8c41504
14942685720
15554a90959
hex331eaa850

13722363984 has 80 divisors (see below), whose sum is σ = 41278108032. Its totient is φ = 3846695424.

The previous prime is 13722363973. The next prime is 13722364003. The reversal of 13722363984 is 48936322731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367479 + ... + 403094.

Almost surely, 213722363984 is an apocalyptic number.

13722363984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13722363984 is an abundant number, since it is smaller than the sum of its proper divisors (27555744048).

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

13722363984 is a wasteful number, since it uses less digits than its factorization.

13722363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770644 (or 770638 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 13722363984 in words is "thirteen billion, seven hundred twenty-two million, three hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 17808 770573 1541146 2311719 3082292 4623438 5394011 6164584 9246876 10788022 12329168 16182033 18493752 21576044 32364066 36987504 40840369 43152088 64728132 81680738 86304176 122521107 129456264 163361476 245042214 258912528 285882583 326722952 490084428 571765166 653445904 857647749 980168856 1143530332 1715295498 1960337712 2287060664 3430590996 4574121328 6861181992 13722363984