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1252053411312 = 243112698815291
BaseRepresentation
bin10010001110000100001…
…100101110010111110000
311102200202202101101101010
4102032010030232113300
5131003201133130222
62355104013510520
7156313023253464
oct22160414562760
94380682341333
101252053411312
11442aa1567490
121827a61a2440
13910b68b2ac2
14448578584a4
152287e99380c
hex1238432e5f0

1252053411312 has 80 divisors (see below), whose sum is σ = 3541631713920. Its totient is φ = 377999635200.

The previous prime is 1252053411263. The next prime is 1252053411317. The reversal of 1252053411312 is 2131143502521.

It is a happy number.

It is a super-2 number, since 2×12520534113122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1252053411312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252053411317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265614 + ... + 4549677.

It is an arithmetic number, because the mean of its divisors is an integer number (44270396424).

Almost surely, 21252053411312 is an apocalyptic number.

1252053411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1252053411312 is an abundant number, since it is smaller than the sum of its proper divisors (2289578302608).

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

1252053411312 is a wasteful number, since it uses less digits than its factorization.

1252053411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815582 (or 8815576 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1252053411312 its reverse (2131143502521), we get a palindrome (3383196913833).

The spelling of 1252053411312 in words is "one trillion, two hundred fifty-two billion, fifty-three million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 4304 5918 6456 8877 11836 12912 17754 23672 35508 47344 71016 142032 8815291 17630582 26445873 35261164 52891746 70522328 96968201 105783492 141044656 193936402 211566984 290904603 387872804 423133968 581809206 775745608 1163618412 1551491216 2327236824 2371313279 4654473648 4742626558 7113939837 9485253116 14227879674 18970506232 26084446069 28455759348 37941012464 52168892138 56911518696 78253338207 104337784276 113823037392 156506676414 208675568552 313013352828 417351137104 626026705656 1252053411312