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14536340892 = 22331714535449
BaseRepresentation
bin11011000100110111…
…01111010110011100
31101112001200121222000
431202123233112130
5214232300402032
610402232122300
71023136600413
oct154233572634
941461617860
1014536340892
11618a427077
122998236390
1314a8779158
149bc80c47a
155a1278e7c
hex3626ef59c

14536340892 has 96 divisors (see below), whose sum is σ = 39938472000. Its totient is φ = 4556445696.

The previous prime is 14536340873. The next prime is 14536340953. The reversal of 14536340892 is 29804363541.

14536340892 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 634 + 0 + 8 + 9 + 2 = 666.

It is a super-2 number, since 2×145363408922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2664984 + ... + 2670432.

It is an arithmetic number, because the mean of its divisors is an integer number (416025750).

Almost surely, 214536340892 is an apocalyptic number.

14536340892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14536340892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969236000).

14536340892 is an abundant number, since it is smaller than the sum of its proper divisors (25402131108).

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

14536340892 is a wasteful number, since it uses less digits than its factorization.

14536340892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14536340892 in words is "fourteen billion, five hundred thirty-six million, three hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1453 1836 2906 4359 5449 5812 8718 10898 13077 16347 17436 21796 24701 26154 32694 39231 49041 49402 52308 65388 74103 78462 92633 98082 98804 147123 148206 156924 185266 196164 222309 277899 294246 296412 370532 444618 555798 588492 666927 833697 889236 1111596 1333854 1667394 2501091 2667708 3334788 5002182 7917397 10004364 15834794 23752191 31669588 47504382 71256573 95008764 134595749 142513146 213769719 269191498 285026292 403787247 427539438 538382996 807574494 855078876 1211361741 1615148988 2422723482 3634085223 4845446964 7268170446 14536340892