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87744316803 = 31121319612263
BaseRepresentation
bin101000110110111111…
…0000000010110000011
322101111001102010111020
41101231332000112003
52414200021114203
6104150441120523
76224246246463
oct1215576002603
9271431363436
1087744316803
1134237419a00
1215009489143
1383746c57b0
1443654c7ba3
152438311153
hex146df80583

87744316803 has 144 divisors (see below), whose sum is σ = 148768139520. Its totient is φ = 45567878400.

The previous prime is 87744316799. The next prime is 87744316819. The reversal of 87744316803 is 30861344778.

It is a happy number.

It is not a de Polignac number, because 87744316803 - 22 = 87744316799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87744314803) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 333628450 + ... + 333628712.

It is an arithmetic number, because the mean of its divisors is an integer number (1033112080).

Almost surely, 287744316803 is an apocalyptic number.

87744316803 is a deficient number, since it is larger than the sum of its proper divisors (61023822717).

87744316803 is a wasteful number, since it uses less digits than its factorization.

87744316803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 87744316803 in words is "eighty-seven billion, seven hundred forty-four million, three hundred sixteen thousand, eight hundred three".

Divisors: 1 3 11 13 19 33 39 57 61 121 143 183 209 247 263 363 429 627 671 741 789 793 1159 1573 2013 2299 2379 2717 2893 3419 3477 3721 4719 4997 6897 7381 8151 8679 8723 10257 11163 12749 14991 15067 16043 22143 26169 29887 31823 37609 38247 40931 45201 48129 48373 54967 64961 70699 89661 95469 95953 112827 122793 140239 145119 164901 165737 176473 194883 208559 212097 287859 304817 413699 420717 450241 497211 529419 532103 604637 625677 714571 777689 914451 919087 978623 1241097 1350723 1596309 1813911 1823107 1941203 2143713 2294149 2333067 2757261 2935869 3352987 3962621 5469321 5823609 5853133 6882447 7860281 8554579 10058961 10109957 10764853 11887863 12722099 17559399 18593837 23580843 25235639 25663737 30329871 32294559 36882857 38166297 43588831 55781511 75706917 110648571 111209527 118413383 130766493 139943089 204532207 241719881 333628581 355240149 419829267 479477141 613596621 725159643 1438431423 1539373979 2249854277 2658918691 4618121937 6749562831 7976756073 29248105601 87744316803