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505213125032 = 237113803215659
BaseRepresentation
bin1110101101000010000…
…11001000000110101000
31210022001011121220101102
413112201003020012220
531234134030000112
61024031450340532
751333436464530
oct7264103100650
91708034556342
10505213125032
111852947024a0
1281ab6a2a748
13388451aaa45
141a6497224c0
15d21d637bc2
hex75a10c81a8

505213125032 has 64 divisors (see below), whose sum is σ = 1181333721600. Its totient is φ = 196783611840.

The previous prime is 505213124957. The next prime is 505213125077. The reversal of 505213125032 is 230521312505.

It is a super-3 number, since 3×5052131250323 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505213124986 and 505213125004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2234819 + ... + 2450477.

It is an arithmetic number, because the mean of its divisors is an integer number (18458339400).

Almost surely, 2505213125032 is an apocalyptic number.

It is an amenable number.

505213125032 is an abundant number, since it is smaller than the sum of its proper divisors (676120596568).

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

505213125032 is a wasteful number, since it uses less digits than its factorization.

505213125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219486 (or 219482 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 505213125032 its reverse (230521312505), we get a palindrome (735734437537).

It can be divided in two parts, 50521312503 and 2, that added together give a palindrome (50521312505).

The spelling of 505213125032 in words is "five hundred five billion, two hundred thirteen million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3803 7606 15212 26621 30424 41833 53242 83666 106484 167332 212968 215659 292831 334664 431318 585662 862636 1171324 1509613 1725272 2342648 2372249 3019226 4744498 6038452 9488996 12076904 16605743 18977992 33211486 66422972 132845944 820151177 1640302354 3280604708 5741058239 6561209416 9021662947 11482116478 18043325894 22964232956 36086651788 45928465912 63151640629 72173303576 126303281258 252606562516 505213125032