Search a number
-
+
87428972169 = 32711219738269
BaseRepresentation
bin101000101101100101…
…1000011111010001001
322100200002000221222100
41101123023003322021
52413023304102134
6104055254144013
76213400000410
oct1213313037211
9270602027870
1087428972169
1134095414900
1214b3b952009
138324284536
14433567c477
15241a7c0999
hex145b2c3e89

87428972169 has 144 divisors (see below), whose sum is σ = 169298147200. Its totient is φ = 42432698880.

The previous prime is 87428972149. The next prime is 87428972221. The reversal of 87428972169 is 96127982478.

87428972169 is a `hidden beast` number, since 87 + 428 + 9 + 72 + 1 + 69 = 666.

It is not a de Polignac number, because 87428972169 - 212 = 87428968073 is a prime.

It is a super-2 number, since 2×874289721692 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (87428972149) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10568967 + ... + 10577235.

Almost surely, 287428972169 is an apocalyptic number.

It is an amenable number.

87428972169 is a deficient number, since it is larger than the sum of its proper divisors (81869175031).

87428972169 is a wasteful number, since it uses less digits than its factorization.

87428972169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8382 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 87428972169 in words is "eighty-seven billion, four hundred twenty-eight million, nine hundred seventy-two thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 11 19 21 33 57 63 73 77 99 121 133 171 209 219 231 363 399 511 627 657 693 803 847 1089 1197 1387 1463 1533 1881 2299 2409 2541 4161 4389 4599 5621 6897 7227 7623 8269 8833 9709 12483 13167 15257 16093 16863 20691 24807 26499 29127 45771 48279 50589 57883 61831 74421 79497 87381 90959 106799 137313 144837 157111 167827 173649 185493 272877 320397 471333 503481 520947 556479 603637 636713 818631 961191 1000549 1099777 1174789 1413999 1510443 1728221 1810911 1910139 3001647 3299331 3524367 4225459 5184663 5432733 5730417 6640007 7003843 9004941 9897993 10573101 11469103 12097547 12676377 15553989 19010431 19920021 21011529 34407309 36292641 38029131 46480049 57031293 59760063 63034587 73040077 80283721 103221927 108877923 126160133 133073017 139440147 171093879 219120231 240851163 378480399 399219051 418320441 511280539 657360693 722553489 883120931 1135441197 1197657153 1387761463 1533841617 2649362793 4163284389 4601524851 7948088379 9714330241 12489853167 29142990723 87428972169