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9484998082560 = 21635572111317
BaseRepresentation
bin1000101000000110010111…
…1100010000000000000000
31020120202102211021011200000
42022001211330100000000
52220400234002120220
632101203054400000
71666161044311200
oct212014574200000
936522384234600
109484998082560
113027624164a50
12109230a800000
1353a57bc6ca30
1424b10d746400
15116ad726c390
hex8a065f10000

9484998082560 has 4896 divisors, whose sum is σ = 49341902343552. Its totient is φ = 1712282664960.

The previous prime is 9484998082537. The next prime is 9484998082607. The reversal of 9484998082560 is 652808994849.

9484998082560 is a `hidden beast` number, since 9 + 4 + 8 + 499 + 8 + 0 + 82 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 557941063672 + ... + 557941063688.

Almost surely, 29484998082560 is an apocalyptic number.

9484998082560 is a gapful number since it is divisible by the number (90) 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 9484998082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24670951171776).

9484998082560 is an abundant number, since it is smaller than the sum of its proper divisors (39856904260992).

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

9484998082560 is a wasteful number, since it uses less digits than its factorization.

9484998082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 9484998082560 in words is "nine trillion, four hundred eighty-four billion, nine hundred ninety-eight million, eighty-two thousand, five hundred sixty".