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468831700908 = 2232231847306563
BaseRepresentation
bin1101101001010001000…
…11000000011110101100
31122211010200120001210200
412310220203000132230
530140131403412113
6555213414233500
745605041463604
oct6645043003654
91584120501720
10468831700908
1117091530002a
1276a42955890
1335297a1074c
141899797bc04
15c2de681873
hex6d288c07ac

468831700908 has 72 divisors (see below), whose sum is σ = 1237302114048. Its totient is φ = 149401151328.

The previous prime is 468831700871. The next prime is 468831700913. The reversal of 468831700908 is 809007138864.

468831700908 is a `hidden beast` number, since 468 + 8 + 3 + 170 + 0 + 9 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376035 + ... + 1682597.

It is an arithmetic number, because the mean of its divisors is an integer number (17184751584).

Almost surely, 2468831700908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468831700908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618651057024).

468831700908 is an abundant number, since it is smaller than the sum of its proper divisors (768470413140).

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

468831700908 is a wasteful number, since it uses less digits than its factorization.

468831700908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308443 (or 308438 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 468831700908 in words is "four hundred sixty-eight billion, eight hundred thirty-one million, seven hundred thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1847 3694 5541 7388 11082 16623 22164 33246 42481 66492 84962 127443 169924 254886 306563 382329 509772 613126 764658 919689 1226252 1529316 1839378 2759067 3678756 5518134 7050949 11036268 14101898 21152847 28203796 42305694 63458541 84611388 126917082 253834164 566221861 1132443722 1698665583 2264887444 3397331166 5095996749 6794662332 10191993498 13023102803 20383986996 26046205606 39069308409 52092411212 78138616818 117207925227 156277233636 234415850454 468831700908