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1005115424424 = 23379530124169
BaseRepresentation
bin11101010000001011000…
…11000011111010101000
310120002101012222220120220
432220011203003322220
5112431434022040144
62045424343450040
7132421461066606
oct16500543037250
93502335886526
101005115424424
113582a34a9a91
1214296b156920
1373a2200b7b7
143690d992876
151b22a8bc919
hexea058c3ea8

1005115424424 has 32 divisors (see below), whose sum is σ = 2544596016000. Its totient is φ = 330797480832.

The previous prime is 1005115424399. The next prime is 1005115424429. The reversal of 1005115424424 is 4244245115001.

It is not an unprimeable number, because it can be changed into a prime (1005115424429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265060189 + ... + 265063980.

It is an arithmetic number, because the mean of its divisors is an integer number (79518625500).

Almost surely, 21005115424424 is an apocalyptic number.

It is an amenable number.

1005115424424 is an abundant number, since it is smaller than the sum of its proper divisors (1539480591576).

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

1005115424424 is a wasteful number, since it uses less digits than its factorization.

1005115424424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530124257 (or 530124253 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 1005115424424 in words is "one trillion, five billion, one hundred fifteen million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 530124169 1060248338 1590372507 2120496676 3180745014 4240993352 6361490028 12722980056 41879809351 83759618702 125639428053 167519237404 251278856106 335038474808 502557712212 1005115424424