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590424665985 = 3257111737614441
BaseRepresentation
bin10001001011110000000…
…11010110111110000001
32002102222201011200120200
420211320003112332001
534133142203302420
61131123133355413
760441162566220
oct10457003267601
92072881150520
10590424665985
11208441371410
1296518038b69
13438a4c397ab
14208106a6cb7
15105593e6b90
hex89780d6f81

590424665985 has 384 divisors, whose sum is σ = 1410562003968. Its totient is φ = 220962816000.

The previous prime is 590424665983. The next prime is 590424666061. The reversal of 590424665985 is 589566424095.

It is a happy number.

590424665985 is a `hidden beast` number, since 5 + 9 + 0 + 42 + 466 + 59 + 85 = 666.

It is not a de Polignac number, because 590424665985 - 21 = 590424665983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (590424665983) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132946365 + ... + 132950805.

It is an arithmetic number, because the mean of its divisors is an integer number (3673338552).

Almost surely, 2590424665985 is an apocalyptic number.

590424665985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

590424665985 is an abundant number, since it is smaller than the sum of its proper divisors (820137337983).

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

590424665985 is a wasteful number, since it uses less digits than its factorization.

590424665985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 590424665985 in words is "five hundred ninety billion, four hundred twenty-four million, six hundred sixty-five thousand, nine hundred eighty-five".