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1057150126721 = 13312178347459
BaseRepresentation
bin11110110001000110000…
…11101100101010000001
310202001200121110200001002
433120203003230222001
5114310020413023341
62125351552021345
7136243110546203
oct17304303545201
93661617420032
101057150126721
11378375760a87
12150a71531855
13788c5485c80
1439248612773
151c773bcc29b
hexf6230eca81

1057150126721 has 24 divisors (see below), whose sum is σ = 1177063433280. Its totient is φ = 943802940960.

The previous prime is 1057150126699. The next prime is 1057150126723. The reversal of 1057150126721 is 1276210517501.

It is not a de Polignac number, because 1057150126721 - 226 = 1057083017857 is a prime.

It is a super-2 number, since 2×10571501267212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057150126723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22251290 + ... + 22298748.

It is an arithmetic number, because the mean of its divisors is an integer number (49044309720).

Almost surely, 21057150126721 is an apocalyptic number.

It is an amenable number.

1057150126721 is a deficient number, since it is larger than the sum of its proper divisors (119913306559).

1057150126721 is a wasteful number, since it uses less digits than its factorization.

1057150126721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49317 (or 49286 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 38.

The spelling of 1057150126721 in words is "one trillion, fifty-seven billion, one hundred fifty million, one hundred twenty-six thousand, seven hundred twenty-one".

Divisors: 1 13 31 403 961 1783 12493 23179 47459 55273 616967 718549 1471229 1713463 19125977 22275019 45608099 84619397 592905287 1100052161 2623201307 34101616991 81319240517 1057150126721