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2148745437 = 32372732389
BaseRepresentation
bin1000000000010011…
…0100000011011101
312112202020120121100
42000010310003131
513400034323222
6553115023313
7104151014646
oct20004640335
95482216540
102148745437
11a02a02283
124bb73ab39
13283227207
141655386cd
15c89954ac
hex801340dd

2148745437 has 36 divisors (see below), whose sum is σ = 3234946260. Its totient is φ = 1374112512.

The previous prime is 2148745373. The next prime is 2148745441. The reversal of 2148745437 is 7345478412.

2148745437 is a `hidden beast` number, since 2 + 148 + 74 + 5 + 437 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 245517561 + 1903227876 = 15669^2 + 43626^2 .

It is not a de Polignac number, because 2148745437 - 26 = 2148745373 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2148745392 and 2148745401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148741437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 898239 + ... + 900627.

Almost surely, 22148745437 is an apocalyptic number.

It is an amenable number.

2148745437 is a deficient number, since it is larger than the sum of its proper divisors (1086200823).

2148745437 is a wasteful number, since it uses less digits than its factorization.

2148745437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2502 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2148745437 is about 46354.5622026570. The cubic root of 2148745437 is about 1290.4117902949.

The spelling of 2148745437 in words is "two billion, one hundred forty-eight million, seven hundred forty-five thousand, four hundred thirty-seven".

Divisors: 1 3 9 37 73 111 219 333 657 1369 2389 2701 4107 7167 8103 12321 21501 24309 88393 99937 174397 265179 299811 523191 795537 899433 1569573 3270541 6452689 9811623 19358067 29434869 58074201 238749493 716248479 2148745437