Search a number
-
+
385200437652 = 22337348858503
BaseRepresentation
bin1011001101011111011…
…11000011100110010100
31100211021021120201002000
411212233233003212110
522302342303001102
6452543022115300
736554424460632
oct5465757034624
91324237521060
10385200437652
111393a9672138
12627a2a1bb30
132a42a4a0864
1414902836352
15a0474c801c
hex59afbc3994

385200437652 has 48 divisors (see below), whose sum is σ = 1012348202880. Its totient is φ = 126641237184.

The previous prime is 385200437627. The next prime is 385200437719. The reversal of 385200437652 is 256734002583.

385200437652 is a `hidden beast` number, since 3 + 8 + 5 + 200 + 437 + 6 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 385200437598 and 385200437607.

It is a congruent number.

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, 24421368 + ... + 24437135.

It is an arithmetic number, because the mean of its divisors is an integer number (21090587560).

Almost surely, 2385200437652 is an apocalyptic number.

It is an amenable number.

385200437652 is an abundant number, since it is smaller than the sum of its proper divisors (627147765228).

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

385200437652 is a wasteful number, since it uses less digits than its factorization.

385200437652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48858589 (or 48858581 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 385200437652 in words is "three hundred eighty-five billion, two hundred million, four hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 48858503 97717006 146575509 195434012 293151018 439726527 586302036 879453054 1319179581 1758906108 2638359162 3566670719 5276718324 7133341438 10700012157 14266682876 21400024314 32100036471 42800048628 64200072942 96300109413 128400145884 192600218826 385200437652