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47211284226821 = 1121382213650837
BaseRepresentation
bin10101011110000001110111…
…10100110110001100000101
320012011100120120102210022212
422233000323310312030011
522142002202230224241
6244224321540033205
712641621430440351
oct1257007364661405
9205140516383285
1047211284226821
1114052214172200
125365a43692805
13204600aca4140
14b9307732c461
1556d119374beb
hex2af03bd36305

47211284226821 has 24 divisors (see below), whose sum is σ = 55892007847032. Its totient is φ = 39613030934400.

The previous prime is 47211284226803. The next prime is 47211284226833. The reversal of 47211284226821 is 12862248211274.

47211284226821 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 10767001878721 + 36444282348100 = 3281311^2 + 6036910^2 .

It is not a de Polignac number, because 47211284226821 - 234 = 47194104357637 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47211284226821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47211284226121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11106215 + ... + 14757051.

It is an arithmetic number, because the mean of its divisors is an integer number (2328833660293).

Almost surely, 247211284226821 is an apocalyptic number.

It is an amenable number.

47211284226821 is a deficient number, since it is larger than the sum of its proper divisors (8680723620211).

47211284226821 is a wasteful number, since it uses less digits than its factorization.

47211284226821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659093 (or 3659082 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 50.

The spelling of 47211284226821 in words is "forty-seven trillion, two hundred eleven billion, two hundred eighty-four million, two hundred twenty-six thousand, eight hundred twenty-one".

Divisors: 1 11 13 121 143 1573 8221 90431 106873 994741 1175603 3650837 12931633 40159207 47460881 441751277 522069691 5742766601 30013530977 330148840747 390175902701 3631637248217 4291934929711 47211284226821