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46454040464 = 24131971133689
BaseRepresentation
bin101011010000111000…
…000110011110010000
311102220110110202121012
4223100320012132100
51230114213243324
633201331150052
73233113554206
oct532070063620
9142813422535
1046454040464
1118779105187
129005445328
1344c4231110
14236980b076
15131d40a20e
hexad0e06790

46454040464 has 40 divisors (see below), whose sum is σ = 97420249080. Its totient is φ = 21331473408.

The previous prime is 46454040463. The next prime is 46454040511. The reversal of 46454040464 is 46404045464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4650148864 + 41803891600 = 68192^2 + 204460^2 .

It is not an unprimeable number, because it can be changed into a prime (46454040461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525869 + ... + 607820.

It is an arithmetic number, because the mean of its divisors is an integer number (2435506227).

Almost surely, 246454040464 is an apocalyptic number.

It is an amenable number.

46454040464 is an abundant number, since it is smaller than the sum of its proper divisors (50966208616).

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

46454040464 is a wasteful number, since it uses less digits than its factorization.

46454040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133907 (or 1133901 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

Subtracting from 46454040464 its reverse (46404045464), we obtain a triangular number (49995000 = T9999).

The spelling of 46454040464 in words is "forty-six billion, four hundred fifty-four million, forty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 40976 1133689 2267378 4534756 9069512 14737957 18139024 29475914 58951828 117903656 223336733 235807312 446673466 893346932 1786693864 2903377529 3573387728 5806755058 11613510116 23227020232 46454040464