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13832051300 = 22521953137359
BaseRepresentation
bin11001110000111010…
…00101101001100100
31022200222110000021022
430320131011221210
5211312001120200
610204312510312
7666525332114
oct147035055144
938628400238
1013832051300
115958917961
1228203ab398
1313c5897452
14953079044
1555e50a885
hex338745a64

13832051300 has 72 divisors (see below), whose sum is σ = 32191689600. Its totient is φ = 5142683520.

The previous prime is 13832051287. The next prime is 13832051329. The reversal of 13832051300 is 315023831.

It is a super-3 number, since 3×138320513003 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13832051300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32021 + ... + 169379.

It is an arithmetic number, because the mean of its divisors is an integer number (447106800).

Almost surely, 213832051300 is an apocalyptic number.

13832051300 is a gapful number since it is divisible by the number (10) 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 13832051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095844800).

13832051300 is an abundant number, since it is smaller than the sum of its proper divisors (18359638300).

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

13832051300 is a wasteful number, since it uses less digits than its factorization.

13832051300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137445 (or 137438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 13832051300 in words is "thirteen billion, eight hundred thirty-two million, fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 20140 25175 50350 100700 137359 274718 549436 686795 1373590 2609821 2747180 3433975 5219642 6867950 7280027 10439284 13049105 13735900 14560054 26098210 29120108 36400135 52196420 65245525 72800270 130491050 138320513 145600540 182000675 260982100 276641026 364001350 553282052 691602565 728002700 1383205130 2766410260 3458012825 6916025650 13832051300