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10012441667775 = 352731999189731
BaseRepresentation
bin1001000110110011010000…
…0001110110100010111111
31022110011212021102110110120
42101230310001312202333
52303020440031332100
633143352513110023
72052242431645221
oct221546401664277
938404767373416
1010012441667775
113210286330188
12115858a558313
13578227960311
1426886767a411
151256a73580a0
hex91b340768bf

10012441667775 has 48 divisors (see below), whose sum is σ = 16864996166400. Its totient is φ = 5240351635200.

The previous prime is 10012441667771. The next prime is 10012441667803. The reversal of 10012441667775 is 57776614421001.

10012441667775 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012441667775 - 22 = 10012441667771 is a prime.

It is a super-3 number, since 3×100124416677753 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012441667771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3505341 + ... + 5684390.

It is an arithmetic number, because the mean of its divisors is an integer number (351354086800).

Almost surely, 210012441667775 is an apocalyptic number.

10012441667775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10012441667775 is a deficient number, since it is larger than the sum of its proper divisors (6852554498625).

10012441667775 is a wasteful number, since it uses less digits than its factorization.

10012441667775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190016 (or 9190011 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 10012441667775 in words is "ten trillion, twelve billion, four hundred forty-one million, six hundred sixty-seven thousand, seven hundred seventy-five".

Divisors: 1 3 5 15 25 73 75 199 219 365 597 995 1095 1825 2985 4975 5475 14527 14925 43581 72635 217905 363175 1089525 9189731 27569193 45948655 137845965 229743275 670850363 689229825 1828756469 2012551089 3354251815 5486269407 9143782345 10062755445 16771259075 27431347035 45718911725 50313777225 133499222237 137156735175 400497666711 667496111185 2002488333555 3337480555925 10012441667775