Search a number
-
+
14590779156 = 2234193353661
BaseRepresentation
bin11011001011010110…
…11001111100010100
31101122212010101020000
431211223121330110
5214340214413111
610411455011300
71024400401512
oct154553317424
941585111200
1014590779156
116208129378
1229b2509b30
1314b6b29745
149c5b3d4b2
155a5e2dc56
hex365ad9f14

14590779156 has 120 divisors (see below), whose sum is σ = 38507594664. Its totient is φ = 4817387520.

The previous prime is 14590779127. The next prime is 14590779157. The reversal of 14590779156 is 65197709541.

It can be written as a sum of positive squares in 4 ways, for example, as 1881824400 + 12708954756 = 43380^2 + 112734^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14590779157) 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 39 ways as a sum of consecutive naturals, for example, 22073466 + ... + 22074126.

Almost surely, 214590779156 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 14590779156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253797332).

14590779156 is an abundant number, since it is smaller than the sum of its proper divisors (23916815508).

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

14590779156 is a wasteful number, since it uses less digits than its factorization.

14590779156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 14590779156 in words is "fourteen billion, five hundred ninety million, seven hundred seventy-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 353 386 579 661 706 772 1059 1158 1322 1412 1737 1983 2118 2316 2644 3177 3474 3966 4236 5211 5949 6354 6948 7932 9531 10422 11898 12708 15633 17847 19062 20844 23796 28593 31266 35694 38124 53541 57186 62532 68129 71388 107082 114372 127573 136258 204387 214164 233333 255146 272516 382719 408774 466666 510292 613161 699999 765438 817548 933332 1148157 1226322 1399998 1530876 1839483 2099997 2296314 2452644 2799996 3444471 3678966 4199994 4592628 5518449 6299991 6888942 7357932 8399988 10333413 11036898 12599982 13777884 18899973 20666826 22073796 25199964 37799946 41333652 45033269 75599892 90066538 135099807 180133076 270199614 405299421 540399228 810598842 1215898263 1621197684 2431796526 3647694789 4863593052 7295389578 14590779156