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270740141376 = 2632961978553
BaseRepresentation
bin1111110000100101011…
…1101011010101000000
3221212211100100012110120
43330021113223111000
513413433434011001
6324213140500240
725363123142145
oct3741127532500
9855740305416
10270740141376
11a490282a461
124457a3aa680
131c6b8bbbbb3
14d1651203cc
157098a36236
hex3f095eb540

270740141376 has 112 divisors (see below), whose sum is σ = 742241035200. Its totient is φ = 86992883712.

The previous prime is 270740141323. The next prime is 270740141387. The reversal of 270740141376 is 673141047072.

It is a happy number.

270740141376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407316 + ... + 3485868.

It is an arithmetic number, because the mean of its divisors is an integer number (6627152100).

Almost surely, 2270740141376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270740141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371120517600).

270740141376 is an abundant number, since it is smaller than the sum of its proper divisors (471500893824).

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

270740141376 is a wasteful number, since it uses less digits than its factorization.

270740141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79216 (or 79206 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 270740141376 in words is "two hundred seventy billion, seven hundred forty million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 619 696 928 1238 1392 1856 1857 2476 2784 3714 4952 5568 7428 9904 14856 17951 19808 29712 35902 39616 53853 59424 71804 78553 107706 118848 143608 157106 215412 235659 287216 314212 430824 471318 574432 628424 861648 942636 1148864 1256848 1723296 1885272 2278037 2513696 3446592 3770544 4556074 5027392 6834111 7541088 9112148 13668222 15082176 18224296 27336444 36448592 48624307 54672888 72897184 97248614 109345776 145794368 145872921 194497228 218691552 291745842 388994456 437383104 583491684 777988912 1166983368 1410104903 1555977824 2333966736 2820209806 3111955648 4230314709 4667933472 5640419612 8460629418 9335866944 11280839224 16921258836 22561678448 33842517672 45123356896 67685035344 90246713792 135370070688 270740141376