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65530146960 = 24345291073259
BaseRepresentation
bin111101000001111001…
…101011000010010000
320021010220112101020000
4331001321223002100
52033201204200320
650034254250000
74506620026065
oct750171530220
9207126471200
1065530146960
1125878072353
1210849ab6900
1362443979b5
143259116c6c
151a87ec9c90
hexf41e6b090

65530146960 has 400 divisors, whose sum is σ = 237717374400. Its totient is φ = 16709317632.

The previous prime is 65530146923. The next prime is 65530146973. The reversal of 65530146960 is 6964103556.

65530146960 is a `hidden beast` number, since 6 + 553 + 0 + 1 + 4 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20105811 + ... + 20109069.

It is an arithmetic number, because the mean of its divisors is an integer number (594293436).

Almost surely, 265530146960 is an apocalyptic number.

65530146960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65530146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118858687200).

65530146960 is an abundant number, since it is smaller than the sum of its proper divisors (172187227440).

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

65530146960 is a wasteful number, since it uses less digits than its factorization.

65530146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 65530146960 in words is "sixty-five billion, five hundred thirty million, one hundred forty-six thousand, nine hundred sixty".