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30406146462 = 23219839071181
BaseRepresentation
bin11100010100010110…
…001111100110011110
32220111001112021120200
4130110112033212132
5444232433141322
621545101124330
72124330660216
oct342426174636
986431467520
1030406146462
111199352796a
125a86b596a6
132b37579253
14168636d246
15bce6038ac
hex71458f99e

30406146462 has 96 divisors (see below), whose sum is σ = 70319733120. Its totient is φ = 9467772480.

The previous prime is 30406146457. The next prime is 30406146493. The reversal of 30406146462 is 26464160403.

30406146462 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 6 + 1 + 4 + 646 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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, 25745512 + ... + 25746692.

It is an arithmetic number, because the mean of its divisors is an integer number (732497220).

Almost surely, 230406146462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30406146462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35159866560).

30406146462 is an abundant number, since it is smaller than the sum of its proper divisors (39913586658).

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

30406146462 is a wasteful number, since it uses less digits than its factorization.

30406146462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30406146462 in words is "thirty billion, four hundred six million, one hundred forty-six thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 907 1181 1494 1577 1814 2362 2721 3154 3543 4731 5442 7086 8163 9462 10629 14193 16326 17233 21258 22439 28386 34466 44878 51699 67317 75281 98023 103398 134634 150562 155097 196046 201951 225843 294069 310194 403902 451686 588138 677529 882207 1071167 1355058 1430339 1764414 1862437 2142334 2860678 3213501 3724874 4291017 5587311 6427002 8582034 9640503 11174622 12873051 16761933 19281006 20352173 25746102 33523866 40704346 61056519 88906861 122113038 177813722 183169557 266720583 366339114 533441166 800161749 1600323498 1689230359 3378460718 5067691077 10135382154 15203073231 30406146462