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270974228352 = 2731016986753
BaseRepresentation
bin1111110001011101010…
…0101001011110000000
3221220102122211001102120
43330113110221132000
513414423400301402
6324252302044240
725401664636362
oct3742724513600
9856378731376
10270974228352
11a4a12984473
1244624879680
131c72554c4b9
14d188256d32
1570ae3753bc
hex3f17529780

270974228352 has 64 divisors (see below), whose sum is σ = 726901886160. Its totient is φ = 89430425600.

The previous prime is 270974228333. The next prime is 270974228359. The reversal of 270974228352 is 253822479072.

270974228352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 270974228295 and 270974228304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270974228359) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3454593 + ... + 3532160.

Almost surely, 2270974228352 is an apocalyptic number.

It is an amenable number.

270974228352 is an abundant number, since it is smaller than the sum of its proper divisors (455927657808).

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

270974228352 is a wasteful number, since it uses less digits than its factorization.

270974228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986871 (or 6986859 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 270974228352 in words is "two hundred seventy billion, nine hundred seventy-four million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 38784 6986753 13973506 20960259 27947012 41920518 55894024 83841036 111788048 167682072 223576096 335364144 447152192 670728288 705662053 894304384 1341456576 1411324106 2116986159 2682913152 2822648212 4233972318 5645296424 8467944636 11290592848 16935889272 22581185696 33871778544 45162371392 67743557088 90324742784 135487114176 270974228352