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468854666458864 = 24753157503088857
BaseRepresentation
bin110101010011010111011101…
…1110110000111011011110000
32021111002001211211202121201121
41222212232323312013123300
5442423203324103140424
64341100505453512024
7200520426466055410
oct15246567366073360
92244061754677647
10468854666458864
11126434169222354
12447032131a2614
131717ca6142582a
1483ac988d52640
153930ebc2ecee4
hex1aa6bbbd876f0

468854666458864 has 80 divisors (see below), whose sum is σ = 1064503825841088. Its totient is φ = 195890726393856.

The previous prime is 468854666458861. The next prime is 468854666458939.

468854666458864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4688546664588642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468854666458861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250612477 + ... + 252476380.

Almost surely, 2468854666458864 is an apocalyptic number.

It is an amenable number.

468854666458864 is an abundant number, since it is smaller than the sum of its proper divisors (595649159382224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468854666458864 is a wasteful number, since it uses less digits than its factorization.

468854666458864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503089082 (or 503089076 counting only the distinct ones).

The product of its digits is 203843174400, while the sum is 88.

The spelling of 468854666458864 in words is "four hundred sixty-eight trillion, eight hundred fifty-four billion, six hundred sixty-six million, four hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 157 212 314 371 424 628 742 848 1099 1256 1484 2198 2512 2968 4396 5936 8321 8792 16642 17584 33284 58247 66568 116494 133136 232988 465976 931952 503088857 1006177714 2012355428 3521621999 4024710856 7043243998 8049421712 14086487996 26663709421 28172975992 53327418842 56345951984 78984950549 106654837684 157969901098 186645965947 213309675368 315939802196 373291931894 426619350736 552894653843 631879604392 746583863788 1105789307686 1263759208784 1493167727576 2211578615372 2986335455152 4186202379097 4423157230744 8372404758194 8846314461488 16744809516388 29303416653679 33489619032776 58606833307358 66979238065552 117213666614716 234427333229432 468854666458864