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400364045633 is a prime number
BaseRepresentation
bin1011101001101111000…
…11101000010101000001
31102021102001120210201102
411310313203220111001
523024421143430013
6503531422544145
740632252144356
oct5646743502501
91367361523642
10400364045633
11144880080262
1265715138055
132b9a5ba1666
141554068862d
15a633858d58
hex5d378e8541

400364045633 has 2 divisors, whose sum is σ = 400364045634. Its totient is φ = 400364045632.

The previous prime is 400364045623. The next prime is 400364045897. The reversal of 400364045633 is 336540463004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399837434929 + 526610704 = 632327^2 + 22948^2 .

It is a cyclic number.

It is not a de Polignac number, because 400364045633 - 24 = 400364045617 is a prime.

It is a super-4 number, since 4×4003640456334 (a number of 48 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (400364045623) by changing a digit.

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 as a sum of consecutive naturals, namely, 200182022816 + 200182022817.

It is an arithmetic number, because the mean of its divisors is an integer number (200182022817).

Almost surely, 2400364045633 is an apocalyptic number.

It is an amenable number.

400364045633 is a deficient number, since it is larger than the sum of its proper divisors (1).

400364045633 is an equidigital number, since it uses as much as digits as its factorization.

400364045633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 38.

The spelling of 400364045633 in words is "four hundred billion, three hundred sixty-four million, forty-five thousand, six hundred thirty-three".