Search a number
-
+
13271750653344 = 253331991421459
BaseRepresentation
bin1100000100100001000111…
…1110111011010110100000
31201222202201010022001120020
43001020101332323112200
53214421021131401334
644120542540113440
72536565232135561
oct301102176732640
951882633261506
1013271750653344
114257577282807
1215a41a2535880
137536a0025091
1433c4db42c168
15180366c78e49
hexc1211fbb5a0

13271750653344 has 96 divisors (see below), whose sum is σ = 34978941204480. Its totient is φ = 4406090515200.

The previous prime is 13271750653229. The next prime is 13271750653363. The reversal of 13271750653344 is 44335605717231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132717506533442 (a number of 27 digits) contains 22 as substring.

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, 31279287 + ... + 31700745.

It is an arithmetic number, because the mean of its divisors is an integer number (364363970880).

Almost surely, 213271750653344 is an apocalyptic number.

It is an amenable number.

13271750653344 is an abundant number, since it is smaller than the sum of its proper divisors (21707190551136).

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

13271750653344 is a wasteful number, since it uses less digits than its factorization.

13271750653344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422794 (or 422786 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 13271750653344 in words is "thirteen trillion, two hundred seventy-one billion, seven hundred fifty million, six hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 991 993 1324 1982 1986 2648 2973 3964 3972 5296 5946 7928 7944 10592 11892 15856 15888 23784 31712 31776 47568 95136 328021 421459 656042 842918 984063 1264377 1312084 1685836 1968126 2528754 2624168 3371672 3936252 5057508 5248336 6743344 7872504 10115016 10496672 13486688 15745008 20230032 31490016 40460064 139502929 279005858 417665869 418508787 558011716 835331738 837017574 1116023432 1252997607 1670663476 1674035148 2232046864 2505995214 3341326952 3348070296 4464093728 5011990428 6682653904 6696140592 10023980856 13365307808 13392281184 20047961712 40095923424 138247402639 276494805278 414742207917 552989610556 829484415834 1105979221112 1658968831668 2211958442224 3317937663336 4423916884448 6635875326672 13271750653344