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12828376623700 = 22521128447409961
BaseRepresentation
bin1011101010101101011011…
…0101001110101001010100
31200102101021121211200112001
42322223112311032221110
53140140003403424300
643141135212005044
72462551063102621
oct272532665165124
950371247750461
1012828376623700
1140a6536194a20
121532285460784
13720931602451
14324c7a931348
15173a6757116a
hexbaad6d4ea54

12828376623700 has 72 divisors (see below), whose sum is σ = 30369407733504. Its totient is φ = 4664688864000.

The previous prime is 12828376623697. The next prime is 12828376623737. The reversal of 12828376623700 is 732667382821.

It is a happy number.

It is a super-3 number, since 3×128283766237003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 31086720 + ... + 31496680.

It is an arithmetic number, because the mean of its divisors is an integer number (421797329632).

Almost surely, 212828376623700 is an apocalyptic number.

12828376623700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12828376623700 is an abundant number, since it is smaller than the sum of its proper divisors (17541031109804).

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

12828376623700 is a wasteful number, since it uses less digits than its factorization.

12828376623700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438433 (or 438426 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 12828376623700 in words is "twelve trillion, eight hundred twenty-eight billion, three hundred seventy-six million, six hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 28447 56894 113788 142235 284470 312917 409961 568940 625834 711175 819922 1251668 1422350 1564585 1639844 2049805 2844700 3129170 4099610 4509571 6258340 7822925 8199220 9019142 10249025 15645850 18038284 20498050 22547855 31291700 40996100 45095710 90191420 112739275 225478550 450957100 11662160567 23324321134 46648642268 58310802835 116621605670 128283766237 233243211340 256567532474 291554014175 513135064948 583108028350 641418831185 1166216056700 1282837662370 2565675324740 3207094155925 6414188311850 12828376623700