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12537773769680 = 245161397161917
BaseRepresentation
bin1011011001110010110110…
…0011010100001111010000
31122101121012000022010122122
42312130231203110033100
53120404330041112210
642355435044153412
72432552502435305
oct266345543241720
948347160263578
1012537773769680
113aa4270485575
1214a5aa3098868
136cc3cb606363
14314b8d8650ac
1516b209d8bb55
hexb672d8d43d0

12537773769680 has 40 divisors (see below), whose sum is σ = 29168396431272. Its totient is φ = 5012000274944.

The previous prime is 12537773769679. The next prime is 12537773769737. The reversal of 12537773769680 is 8696737773521.

12537773769680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5730642303376 + 6807131466304 = 2393876^2 + 2609048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×125377737696803 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48451919 + ... + 48709998.

Almost surely, 212537773769680 is an apocalyptic number.

12537773769680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12537773769680 is an abundant number, since it is smaller than the sum of its proper divisors (16630622661592).

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

12537773769680 is a wasteful number, since it uses less digits than its factorization.

12537773769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97163543 (or 97163537 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 71.

The spelling of 12537773769680 in words is "twelve trillion, five hundred thirty-seven billion, seven hundred seventy-three million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1613 3226 6452 8065 12904 16130 25808 32260 64520 129040 97161917 194323834 388647668 485809585 777295336 971619170 1554590672 1943238340 3886476680 7772953360 156722172121 313444344242 626888688484 783610860605 1253777376968 1567221721210 2507554753936 3134443442420 6268886884840 12537773769680