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8241969199689 = 38234672
BaseRepresentation
bin111011111101111101110…
…1001010111101001001001
31002011220222000010100000000
41313323323221113221021
52040014023103342224
625310150335433213
71510314452165061
oct167737351275111
932156860110000
108241969199689
112698443822335
12b11422985809
1347a2a2c478b4
14206cb068a3a1
15e45d4bed0c9
hex77efba57a49

8241969199689 has 135 divisors (see below), whose sum is σ = 13120025894157. Its totient is φ = 5177304468072.

The previous prime is 8241969199669. The next prime is 8241969199721. The reversal of 8241969199689 is 9869919691428.

The square root of 8241969199689 is 2870883.

It is a perfect power (a square), and thus also a powerful number.

8241969199689 is a `hidden beast` number, since 8 + 2 + 419 + 6 + 9 + 199 + 6 + 8 + 9 = 666.

It is not a de Polignac number, because 8241969199689 - 27 = 8241969199561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (8241969199649) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 123014465634 + ... + 123014465700.

Almost surely, 28241969199689 is an apocalyptic number.

8241969199689 is the 2870883-rd square number.

8241969199689 is the 1435442-nd centered octagonal number.

It is an amenable number.

8241969199689 is a deficient number, since it is larger than the sum of its proper divisors (4878056694468).

8241969199689 is an frugal number, since it uses more digits than its factorization.

8241969199689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 93 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 81.

Multiplying 8241969199689 by its sum of digits (81), we get a square (667599505174809 = 258379472).

8241969199689 divided by its sum of digits (81) gives a square (101752706169 = 3189872).

The spelling of 8241969199689 in words is "eight trillion, two hundred forty-one billion, nine hundred sixty-nine million, one hundred ninety-nine thousand, six hundred eighty-nine".

Divisors: 1 3 9 23 27 67 69 81 201 207 243 529 603 621 729 1541 1587 1809 1863 2187 4489 4623 4761 5427 5589 6561 12167 13467 13869 14283 16281 16767 35443 36501 40401 41607 42849 48843 50301 103247 106329 109503 121203 124821 128547 146529 150903 279841 309741 318987 328509 363609 374463 385641 439587 815189 839523 929223 956961 985527 1090827 1123389 1156923 2374681 2445567 2518569 2787669 2870883 2956581 3272481 3370167 3470769 7124043 7336701 7555707 8363007 8612649 8869743 9817443 10110501 18749347 21372129 22010103 22667121 25089021 25837947 26609229 29452329 54617663 56248041 64116387 66030309 68001363 75267063 77513841 79827687 163852989 168744123 192349161 198090927 204004089 225801189 232541523 491558967 506232369 577047483 594272781 612012267 677403567 1256206249 1474676901 1518697107 1731142449 1782818343 1836036801 3768618747 4424030703 4556091321 5193427347 5348455029 11305856241 13272092109 13668273963 15580282041 33917568723 39816276327 41004821889 101752706169 119448828981 123014465667 305258118507 358346486943 915774355521 2747323066563 8241969199689