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46439819001 = 3229224772
BaseRepresentation
bin101011010000000001…
…110110011011111001
311102212110201020102100
4223100001312123321
51230102043202001
633200102254013
73232551643212
oct532001663371
9142773636370
1046439819001
1118771081404
129000727309
1344c12c1c54
142367988409
15131c04b586
hexad00766f9

46439819001 has 27 divisors (see below), whose sum is σ = 69500653261. Its totient is φ = 29880229344.

The previous prime is 46439818993. The next prime is 46439819017. The reversal of 46439819001 is 10091893464.

The square root of 46439819001 is 215499.

It is a perfect power (a square), and thus also a powerful number.

46439819001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32319225 + 46407499776 = 5685^2 + 215424^2 .

It is not a de Polignac number, because 46439819001 - 23 = 46439818993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46439819021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18747175 + ... + 18749651.

Almost surely, 246439819001 is an apocalyptic number.

46439819001 is the 215499-th square number.

46439819001 is the 107750-th centered octagonal number.

It is an amenable number.

46439819001 is a deficient number, since it is larger than the sum of its proper divisors (23060834260).

46439819001 is an frugal number, since it uses more digits than its factorization.

46439819001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 46439819001 in words is "forty-six billion, four hundred thirty-nine million, eight hundred nineteen thousand, one".

Divisors: 1 3 9 29 87 261 841 2477 2523 7431 7569 22293 71833 215499 646497 2083157 6135529 6249471 18406587 18748413 55219761 177930341 533791023 1601373069 5159979889 15479939667 46439819001