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268487312705 = 51931471939727
BaseRepresentation
bin1111101000001100010…
…1110100010101000001
3221200000100020122111122
43322003011310111001
513344330223001310
6323201422522025
725253236334423
oct3720305642501
9850010218448
10268487312705
11a39570a7987
124404ba36315
131c41a251791
14cdcdc50813
156eb5d81555
hex3e83174541

268487312705 has 32 divisors (see below), whose sum is σ = 357530664960. Its totient is φ = 192731175360.

The previous prime is 268487312671. The next prime is 268487312801. The reversal of 268487312705 is 507213784862.

It is a de Polignac number, because none of the positive numbers 2k-268487312705 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831449 + ... + 1108278.

It is an arithmetic number, because the mean of its divisors is an integer number (11172833280).

Almost surely, 2268487312705 is an apocalyptic number.

It is an amenable number.

268487312705 is a deficient number, since it is larger than the sum of its proper divisors (89043352255).

268487312705 is a wasteful number, since it uses less digits than its factorization.

268487312705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939829.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 268487312705 in words is "two hundred sixty-eight billion, four hundred eighty-seven million, three hundred twelve thousand, seven hundred five".

Divisors: 1 5 19 31 47 95 155 235 589 893 1457 2945 4465 7285 27683 138415 1939727 9698635 36854813 60131537 91167169 184274065 300657685 455835845 1142499203 1732176211 2826182239 5712496015 8660881055 14130911195 53697462541 268487312705