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385132042746 = 232113119623633
BaseRepresentation
bin1011001101010111010…
…10001001100111111010
31100211002111212212220100
411212223222021213322
522302222300331441
6452532140140230
736552634230603
oct5465352114772
91324074785810
10385132042746
11139373aa8020
1262783b37676
132a4192747b9
14148d7710daa
15a0414b7cb6
hex59aba899fa

385132042746 has 48 divisors (see below), whose sum is σ = 910605421440. Its totient is φ = 116669074560.

The previous prime is 385132042741. The next prime is 385132042777. The reversal of 385132042746 is 647240231583.

385132042746 is a `hidden beast` number, since 3 + 8 + 51 + 320 + 4 + 274 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (385132042741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305746 + ... + 929378.

It is an arithmetic number, because the mean of its divisors is an integer number (18970946280).

Almost surely, 2385132042746 is an apocalyptic number.

385132042746 is an abundant number, since it is smaller than the sum of its proper divisors (525473378694).

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

385132042746 is a wasteful number, since it uses less digits than its factorization.

385132042746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626771 (or 626768 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 385132042746 in words is "three hundred eighty-five billion, one hundred thirty-two million, forty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3119 6238 9357 18714 28071 34309 56142 68618 102927 205854 308781 617562 623633 1247266 1870899 3741798 5612697 6859963 11225394 13719926 20579889 41159778 61739667 123479334 1945111327 3890222654 5835333981 11670667962 17506001943 21396224597 35012003886 42792449194 64188673791 128377347582 192566021373 385132042746