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270341763136 = 2610326312
BaseRepresentation
bin1111101111000110011…
…1111111000001000000
3221211210120201111020221
43323301213333001000
513412124442410021
6324105430112424
725350215033434
oct3736147770100
9854716644227
10270341763136
11a4718971a45
1244488aab714
131c6544c7823
14d12825c9c4
157073a93241
hex3ef19ff040

270341763136 has 63 divisors (see below), whose sum is σ = 542578214943. Its totient is φ = 133646405760.

The previous prime is 270341763119. The next prime is 270341763137. The reversal of 270341763136 is 631367143072.

It is a happy number.

The square root of 270341763136 is 519944.

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

It is a super-2 number, since 2×2703417631362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 270341763092 and 270341763101.

It is not an unprimeable number, because it can be changed into a prime (270341763137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 428433541 + ... + 428434171.

Almost surely, 2270341763136 is an apocalyptic number.

270341763136 is the 519944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270341763136

270341763136 is an abundant number, since it is smaller than the sum of its proper divisors (272236451807).

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

270341763136 is an frugal number, since it uses more digits than its factorization.

270341763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 270341763136 in words is "two hundred seventy billion, three hundred forty-one million, seven hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 103 206 412 631 824 1262 1648 2524 3296 5048 6592 10096 10609 20192 21218 40384 42436 64993 84872 129986 169744 259972 339488 398161 519944 678976 796322 1039888 1592644 2079776 3185288 4159552 6370576 6694279 12741152 13388558 25482304 26777116 41010583 53554232 82021166 107108464 164042332 214216928 328084664 428433856 656169328 1312338656 2624677312 4224090049 8448180098 16896360196 33792720392 67585440784 135170881568 270341763136