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489015353952 = 253517191131723
BaseRepresentation
bin1110001110110111001…
…01100010001001100000
31201202020022122212200000
413013123211202021200
531003000412311302
61012352304100000
750221153632246
oct7073345421140
91652208585600
10489015353952
11179432467324
127a936304600
133716346ac08
14199503cc796
15cac15c831c
hex71db962260

489015353952 has 576 divisors, whose sum is σ = 1622506878720. Its totient is φ = 143972204544.

The previous prime is 489015353927. The next prime is 489015353963. The reversal of 489015353952 is 259353510984.

489015353952 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 1 + 53 + 539 + 52 = 666.

It is a super-4 number, since 4×4890153539524 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283815363 + ... + 283817085.

It is an arithmetic number, because the mean of its divisors is an integer number (2816852220).

Almost surely, 2489015353952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489015353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811253439360).

489015353952 is an abundant number, since it is smaller than the sum of its proper divisors (1133491524768).

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

489015353952 is a wasteful number, since it uses less digits than its factorization.

489015353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 489015353952 in words is "four hundred eighty-nine billion, fifteen million, three hundred fifty-three thousand, nine hundred fifty-two".