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87853668241131 = 3213193112710038181
BaseRepresentation
bin10011111110011100000110…
…101100000000111011101011
3102112001201200012012212110100
4103332130012230000323223
543003343303032204011
6510503230143120443
724335134540530102
oct2376340654007353
9375051605185410
1087853668241131
1125aa1593422071
129a2a7678a3123
133a0374715b0c0
14179a1d6b17039
15a2541ed60d56
hex4fe706b00eeb

87853668241131 has 96 divisors (see below), whose sum is σ = 149663672238080. Its totient is φ = 49175839238400.

The previous prime is 87853668241109. The next prime is 87853668241159. The reversal of 87853668241131 is 13114286635878.

It is a happy number.

87853668241131 is a `hidden beast` number, since 8 + 7 + 8 + 53 + 66 + 82 + 411 + 31 = 666.

It is not a de Polignac number, because 87853668241131 - 211 = 87853668239083 is a prime.

It is a super-2 number, since 2×878536682411312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87853668241331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3732861 + ... + 13771041.

Almost surely, 287853668241131 is an apocalyptic number.

87853668241131 is a deficient number, since it is larger than the sum of its proper divisors (61810003996949).

87853668241131 is a wasteful number, since it uses less digits than its factorization.

87853668241131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038377 (or 10038374 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 87853668241131 in words is "eighty-seven trillion, eight hundred fifty-three billion, six hundred sixty-eight million, two hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 13 19 31 39 57 93 117 127 171 247 279 381 403 589 741 1143 1209 1651 1767 2223 2413 3627 3937 4953 5301 7239 7657 11811 14859 21717 22971 31369 35433 51181 68913 74803 94107 153543 224409 282321 460629 673227 972439 2917317 8751951 10038181 30114543 90343629 130496353 190725439 311183611 391489059 572176317 933550833 1174467177 1274848987 1716528951 2479430707 2800652499 3824546961 4045386943 5912488609 7438292121 11473640883 12136160829 16573036831 17737465827 22314876363 24222130753 36408482487 39520318597 49719110493 53212397481 72666392259 76862351917 118560955791 149157331479 217999176777 230587055751 314887699789 355682867373 513764141761 691761167253 750886053343 944663099367 1541292425283 2252658160029 2833989298101 4623877275849 6757974480087 9761518693459 29284556080377 87853668241131