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1009147678352 = 241113143769417
BaseRepresentation
bin11101010111101011110…
…00111000111010010000
310120110210020101122002222
432223311320320322100
5113013213301201402
62051332425000212
7132623422510142
oct16536570707220
93513706348088
101009147678352
11359a82613050
121436b5623068
1374215514078
1436bb3300c92
151b3b48b47a2
hexeaf5e38e90

1009147678352 has 40 divisors (see below), whose sum is σ = 2149253501472. Its totient is φ = 455201926400.

The previous prime is 1009147678247. The next prime is 1009147678367. The reversal of 1009147678352 is 2538767419001.

It is a junction number, because it is equal to n+sod(n) for n = 1009147678294 and 1009147678303.

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, 21861653 + ... + 21907764.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1009147678352 = 2018295356704, but 3⋅1009147678352 = 3027443035056 is not.

Almost surely, 21009147678352 is an apocalyptic number.

It is an amenable number.

1009147678352 is an abundant number, since it is smaller than the sum of its proper divisors (1140105823120).

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

1009147678352 is a wasteful number, since it uses less digits than its factorization.

1009147678352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43769567 (or 43769561 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 1009147678352 in words is "one trillion, nine billion, one hundred forty-seven million, six hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5764 11528 23056 43769417 87538834 175077668 350155336 481463587 700310672 962927174 1925854348 3851708696 5733793627 7703417392 11467587254 22935174508 45870349016 63071729897 91740698032 126143459794 252286919588 504573839176 1009147678352