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272922386048 = 2713374432861
BaseRepresentation
bin1111111000101101110…
…0010001111010000000
3222002110102121201101022
43332023130101322000
513432421112323143
6325213453525012
725501162001414
oct3761334217200
9862412551338
10272922386048
11a5822632154
1244a891a3768
131c976044a30
14d2d0c98d44
1571753e7268
hex3f8b711e80

272922386048 has 64 divisors (see below), whose sum is σ = 601362058920. Its totient is φ = 122559713280.

The previous prime is 272922386041. The next prime is 272922386059. The reversal of 272922386048 is 840683229272.

272922386048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 266495477824 + 6426908224 = 516232^2 + 80168^2 .

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

It is a super-2 number, since 2×2729223860482 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272922386041) 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, 2154863 + ... + 2277998.

Almost surely, 2272922386048 is an apocalyptic number.

It is an amenable number.

272922386048 is an abundant number, since it is smaller than the sum of its proper divisors (328439672872).

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

272922386048 is a wasteful number, since it uses less digits than its factorization.

272922386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432925 (or 4432913 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 272922386048 in words is "two hundred seventy-two billion, nine hundred twenty-two million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3848 4736 7696 15392 30784 61568 4432861 8865722 17731444 35462888 57627193 70925776 115254386 141851552 164015857 230508772 283703104 328031714 461017544 567406208 656063428 922035088 1312126856 1844070176 2132206141 2624253712 3688140352 4264412282 5248507424 7376280704 8528824564 10497014848 17057649128 20994029696 34115298256 68230596512 136461193024 272922386048