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1006010499984 = 24372994078869
BaseRepresentation
bin11101010001110101110…
…01100000001110010000
310120011200121020110102120
432220322321200032100
5112440302141444414
62050053240214240
7132452610105420
oct16507271401620
93504617213376
101006010499984
11358712778556
12142b7aa6a380
1373b3559c8c9
14369967ca480
151b27e2752a9
hexea3ae60390

1006010499984 has 40 divisors (see below), whose sum is σ = 2970126239040. Its totient is φ = 287431571328.

The previous prime is 1006010499973. The next prime is 1006010500013. The reversal of 1006010499984 is 4899940106001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497039099 + ... + 1497039770.

It is an arithmetic number, because the mean of its divisors is an integer number (74253155976).

Almost surely, 21006010499984 is an apocalyptic number.

1006010499984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006010499984 is an abundant number, since it is smaller than the sum of its proper divisors (1964115739056).

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

1006010499984 is a wasteful number, since it uses less digits than its factorization.

1006010499984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994078887 (or 2994078881 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 1006010499984 in words is "one trillion, six billion, ten million, four hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2994078869 5988157738 8982236607 11976315476 17964473214 20958552083 23952630952 35928946428 41917104166 47905261904 62875656249 71857892856 83834208332 125751312498 143715785712 167668416664 251502624996 335336833328 503005249992 1006010499984