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464268726875151 = 34111728920258341
BaseRepresentation
bin110100110001111111111110…
…0100010111011010000001111
32020212211122201211101000110000
41221203333330202323100033
5441323034323040001101
64323230035253015343
7166535210565552462
oct15143777442732017
92225748654330400
10464268726875151
11124a26296951040
12440a2481324553
1316c09478973063
148290a24c912d9
1538a1a65a8e486
hex1a63ffc8bb40f

464268726875151 has 120 divisors (see below), whose sum is σ = 812739560695920. Its totient is φ = 261847958169600.

The previous prime is 464268726875113. The next prime is 464268726875167. The reversal of 464268726875151 is 151578627862464.

464268726875151 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 6 + 8 + 7 + 26 + 87 + 515 + 1 = 666.

It is not a de Polignac number, because 464268726875151 - 214 = 464268726858767 is a prime.

It is a super-2 number, since 2×4642687268751512 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464268726875151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464268726805151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12788241 + ... + 33046581.

It is an arithmetic number, because the mean of its divisors is an integer number (6772829672466).

Almost surely, 2464268726875151 is an apocalyptic number.

464268726875151 is a deficient number, since it is larger than the sum of its proper divisors (348470833820769).

464268726875151 is a wasteful number, since it uses less digits than its factorization.

464268726875151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20258487 (or 20258461 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 464268726875151 in words is "four hundred sixty-four trillion, two hundred sixty-eight billion, seven hundred twenty-six million, eight hundred seventy-five thousand, one hundred fifty-one".

Divisors: 1 3 9 11 17 27 33 51 81 89 99 153 187 267 289 297 459 561 801 867 891 979 1377 1513 1683 2403 2601 2937 3179 4539 5049 7209 7803 8811 9537 13617 15147 16643 23409 25721 26433 28611 40851 49929 77163 79299 85833 122553 149787 231489 257499 282931 449361 694467 848793 1348083 2083401 2546379 7639137 20258341 22917411 60775023 182325069 222841751 344391797 546975207 668525253 1033175391 1640925621 1802992349 2005575759 3099526173 3788309767 5408977047 5854660549 6016727277 9298578519 11364929301 16226931141 17563981647 18050181831 19832915839 27895735557 30650869933 34094787903 48680793423 52691944941 59498747517 64401266039 91952609799 102284363709 146042380269 158075834823 178496242551 193203798117 275857829397 306853091127 337159569263 474227504469 521064788861 535488727653 579611394351 827573488191 1011478707789 1563194366583 1606466182959 1738834183053 2482720464573 3034436123367 4689583099749 5216502549159 5731712677471 9103308370101 14068749299247 17195138032413 27309925110303 42206247897741 51585414097239 154756242291717 464268726875151