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20287617675 = 3521321794153
BaseRepresentation
bin10010111001001111…
…000111101010001011
31221100212201202112020
4102321033013222023
5313022112231200
613153042015523
71315513622253
oct227117075213
957325652466
1020287617675
118670916486
123b223475a3
131bb415b700
14da6594963
157db130ea0
hex4b93c7a8b

20287617675 has 72 divisors (see below), whose sum is σ = 38457766224. Its totient is φ = 9400135680.

The previous prime is 20287617643. The next prime is 20287617731. The reversal of 20287617675 is 57671678202.

It is not a de Polignac number, because 20287617675 - 25 = 20287617643 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

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 71 ways as a sum of consecutive naturals, for example, 168399 + ... + 262551.

It is an arithmetic number, because the mean of its divisors is an integer number (534135642).

Almost surely, 220287617675 is an apocalyptic number.

20287617675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20287617675 is a deficient number, since it is larger than the sum of its proper divisors (18170148549).

20287617675 is a wasteful number, since it uses less digits than its factorization.

20287617675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94209 (or 94191 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 20287617675 in words is "twenty billion, two hundred eighty-seven million, six hundred seventeen thousand, six hundred seventy-five".

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 169 195 221 255 325 425 507 663 845 975 1105 1275 2535 2873 3315 4225 5525 8619 12675 14365 16575 43095 71825 94153 215475 282459 470765 1223989 1412295 1600601 2353825 3671967 4801803 6119945 7061475 8003005 15911857 18359835 20807813 24009015 30599725 40015025 47735571 62423439 79559285 91799175 104039065 120045075 238677855 270501569 312117195 397796425 520195325 811504707 1193389275 1352507845 1560585975 4057523535 6762539225 20287617675