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13729251224128 = 26111710710721153
BaseRepresentation
bin1100011111001001011100…
…1001000110101001000000
31210121111121010100001222211
43013302113021012221000
53244420001303133003
645111044141111504
72614622433623626
oct307622711065100
953544533301884
1013729251224128
1144135a7438a90
1216589a2558594
13787880330bab
143566dc141516
1518c1e175d96d
hexc7c97246a40

13729251224128 has 112 divisors (see below), whose sum is σ = 31763091225024. Its totient is φ = 5818583613440.

The previous prime is 13729251224119. The next prime is 13729251224153. The reversal of 13729251224128 is 82142215292731.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4080001 + ... + 6641152.

Almost surely, 213729251224128 is an apocalyptic number.

It is an amenable number.

13729251224128 is an abundant number, since it is smaller than the sum of its proper divisors (18033840000896).

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

13729251224128 is a wasteful number, since it uses less digits than its factorization.

13729251224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721300 (or 10721290 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The spelling of 13729251224128 in words is "thirteen trillion, seven hundred twenty-nine billion, two hundred fifty-one million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 107 136 176 187 214 272 352 374 428 544 704 748 856 1088 1177 1496 1712 1819 2354 2992 3424 3638 4708 5984 6848 7276 9416 11968 14552 18832 20009 29104 37664 40018 58208 75328 80036 116416 160072 320144 640288 1280576 10721153 21442306 42884612 85769224 117932683 171538448 182259601 235865366 343076896 364519202 471730732 686153792 729038404 943461464 1147163371 1458076808 1886922928 2004855611 2294326742 2916153616 3773845856 4009711222 4588653484 5832307232 7547691712 8019422444 9177306968 11664614464 12618797081 16038844888 18354613936 19501777307 25237594162 32077689776 36709227872 39003554614 50475188324 64155379552 73418455744 78007109228 100950376648 128310759104 156014218456 201900753296 214519550377 312028436912 403801506592 429039100754 624056873824 807603013184 858078201508 1248113747648 1716156403016 3432312806032 6864625612064 13729251224128