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1125684170304 = 26353715093061
BaseRepresentation
bin10000011000011000000…
…000010100111001000000
310222121120212100210202120
4100120120000110321000
5121420400121422204
62221044314244240
7144220334400351
oct20303000247100
93877525323676
101125684170304
113a4444405321
121621b9426680
13821c7c9a995
143c6aa667d28
151e43576a6d9
hex10618014e40

1125684170304 has 224 divisors, whose sum is σ = 3084361908480. Its totient is φ = 362131660800.

The previous prime is 1125684170287. The next prime is 1125684170329. The reversal of 1125684170304 is 4030714865211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367748934 + ... + 367751994.

Almost surely, 21125684170304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125684170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542180954240).

1125684170304 is an abundant number, since it is smaller than the sum of its proper divisors (1958677738176).

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

1125684170304 is a wasteful number, since it uses less digits than its factorization.

1125684170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1125684170304 in words is "one trillion, one hundred twenty-five billion, six hundred eighty-four million, one hundred seventy thousand, three hundred four".