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1270449088164 = 2236208732
BaseRepresentation
bin10010011111001100101…
…010101010011010100100
311111110020210002121000000
4102133030222222122210
5131303334431310124
62411345233021300
7160533625033434
oct22371452523244
94443223077000
101270449088164
1144a881431803
1218627a9b4830
1392a58a9cca9
14456c0a422c4
15230a99596c9
hex127ccaaa6a4

1270449088164 has 63 divisors (see below), whose sum is σ = 3333563675953. Its totient is φ = 423462740832.

The previous prime is 1270449088141. The next prime is 1270449088193. The reversal of 1270449088164 is 4618809440721.

The square root of 1270449088164 is 1127142.

It is a perfect power (a square), and thus also a powerful number.

1270449088164 is a `hidden beast` number, since 1 + 2 + 70 + 4 + 490 + 8 + 81 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412587828900 + 857861259264 = 642330^2 + 926208^2 .

It is a super-2 number, since 2×12704490881642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1270449088164.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 60855232 + ... + 60876104.

Almost surely, 21270449088164 is an apocalyptic number.

1270449088164 is the 1127142-nd square number.

It is an amenable number.

1270449088164 is an abundant number, since it is smaller than the sum of its proper divisors (2063114587789).

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

1270449088164 is an frugal number, since it uses more digits than its factorization.

1270449088164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41768 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1270449088164 in words is "one trillion, two hundred seventy billion, four hundred forty-nine million, eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 20873 41746 62619 83492 125238 187857 250476 375714 563571 751428 1127142 1690713 2254284 3381426 5072139 6762852 10144278 15216417 20288556 30432834 60865668 435682129 871364258 1307046387 1742728516 2614092774 3921139161 5228185548 7842278322 11763417483 15684556644 23526834966 35290252449 47053669932 70580504898 105870757347 141161009796 211741514694 317612272041 423483029388 635224544082 1270449088164