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1010477412 = 223272572833
BaseRepresentation
bin111100001110101…
…010100101100100
32121102101120102100
4330032222211210
54032140234122
6244134012100
734016626200
oct7416524544
92542346370
101010477412
1147942a6aa
122424a7030
13131468139
14982b7b00
155daa0aac
hex3c3aa964

1010477412 has 54 divisors (see below), whose sum is σ = 2971289958. Its totient is φ = 288707328.

The previous prime is 1010477401. The next prime is 1010477417. The reversal of 1010477412 is 2147740101.

1010477412 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 only one way, i.e., 934891776 + 75585636 = 30576^2 + 8694^2 .

It is not an unprimeable number, because it can be changed into a prime (1010477417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 284653 + ... + 288180.

Almost surely, 21010477412 is an apocalyptic number.

1010477412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010477412 is an abundant number, since it is smaller than the sum of its proper divisors (1960812546).

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

1010477412 is a wasteful number, since it uses less digits than its factorization.

1010477412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572857 (or 572845 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1010477412 is about 31788.0073612676. The cubic root of 1010477412 is about 1003.4803438213.

The spelling of 1010477412 in words is "one billion, ten million, four hundred seventy-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 572833 1145666 1718499 2291332 3436998 4009831 5155497 6873996 8019662 10310994 12029493 16039324 20621988 24058986 28068817 36088479 48117972 56137634 72176958 84206451 112275268 144353916 168412902 252619353 336825804 505238706 1010477412