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468420907851 = 35131311131919
BaseRepresentation
bin1101101000100000000…
…11111101001101001011
31122210002001120121200000
412310100003331031023
530133311223022401
6555104541414043
745561623010321
oct6642003751513
91583061517600
10468420907851
11170724433136
127694926a323
1335230890630
14189591a7d11
15c2b858a186
hex6d100fd34b

468420907851 has 48 divisors (see below), whose sum is σ = 761410890240. Its totient is φ = 286058316960.

The previous prime is 468420907841. The next prime is 468420907937. The reversal of 468420907851 is 158709024864.

It is a happy number.

468420907851 is a `hidden beast` number, since 4 + 68 + 420 + 90 + 78 + 5 + 1 = 666.

It is not a de Polignac number, because 468420907851 - 226 = 468353798987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468420907841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152131 + ... + 979788.

It is an arithmetic number, because the mean of its divisors is an integer number (15862726880).

Almost surely, 2468420907851 is an apocalyptic number.

468420907851 is a deficient number, since it is larger than the sum of its proper divisors (292989982389).

468420907851 is a wasteful number, since it uses less digits than its factorization.

468420907851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132078 (or 1132066 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 468420907851 in words is "four hundred sixty-eight billion, four hundred twenty million, nine hundred seven thousand, eight hundred fifty-one".

Divisors: 1 3 9 13 27 39 81 117 131 243 351 393 1053 1179 1703 3159 3537 5109 10611 15327 31833 45981 137943 413829 1131919 3395757 10187271 14714947 30561813 44144841 91685439 132434523 148281389 275056317 397303569 444844167 1191910707 1334532501 1927658057 3575732121 4003597503 5782974171 12010792509 17348922513 36032377527 52046767539 156140302617 468420907851