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271980079272 = 2332111013400091
BaseRepresentation
bin1111110101001101000…
…1101010100010101000
3222000000202111120111100
43331103101222202220
513424003400014042
6324540153001400
725435630346346
oct3752321524250
9860022446440
10271980079272
11a5389734120
12448656b3260
131c855a57865
14d241a88996
15711c81024c
hex3f5346a8a8

271980079272 has 96 divisors (see below), whose sum is σ = 811533958560. Its totient is φ = 81602160000.

The previous prime is 271980079249. The next prime is 271980079291. The reversal of 271980079272 is 272970089172.

It is a happy number.

271980079272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1620054 + ... + 1780037.

It is an arithmetic number, because the mean of its divisors is an integer number (8453478735).

Almost surely, 2271980079272 is an apocalyptic number.

271980079272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

271980079272 is an abundant number, since it is smaller than the sum of its proper divisors (539553879288).

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

271980079272 is a wasteful number, since it uses less digits than its factorization.

271980079272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400215 (or 3400208 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 271980079272 in words is "two hundred seventy-one billion, nine hundred eighty million, seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1818 2222 2424 3333 3636 4444 6666 7272 8888 9999 13332 19998 26664 39996 79992 3400091 6800182 10200273 13600364 20400546 27200728 30600819 37401001 40801092 61201638 74802002 81602184 112203003 122403276 149604004 224406006 244806552 299208008 336609009 343409191 448812012 673218018 686818382 897624024 1030227573 1346436036 1373636764 2060455146 2692872072 2747273528 3090682719 3777501101 4120910292 6181365438 7555002202 8241820584 11332503303 12362730876 15110004404 22665006606 24725461752 30220008808 33997509909 45330013212 67995019818 90660026424 135990039636 271980079272