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7430145664 = 27173414589
BaseRepresentation
bin1101110101101111…
…10000011010000000
3201011211010111201011
412322313300122000
5110204104130124
63225141450304
7352061124154
oct67267603200
921154114634
107430145664
11317313a457
121534410994
139154708c6
14506b2b064
152d7484994
hex1badf0680

7430145664 has 32 divisors (see below), whose sum is σ = 15672968100. Its totient is φ = 3496538112.

The previous prime is 7430145659. The next prime is 7430145673. The reversal of 7430145664 is 4665410347.

It can be written as a sum of positive squares in 2 ways, for example, as 7394624064 + 35521600 = 85992^2 + 5960^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1705119 + ... + 1709470.

Almost surely, 27430145664 is an apocalyptic number.

It is an amenable number.

7430145664 is an abundant number, since it is smaller than the sum of its proper divisors (8242822436).

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

7430145664 is a wasteful number, since it uses less digits than its factorization.

7430145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414620 (or 3414608 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 7430145664 is about 86198.2926977095. The cubic root of 7430145664 is about 1951.3377333204.

The spelling of 7430145664 in words is "seven billion, four hundred thirty million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 3414589 6829178 13658356 27316712 54633424 58048013 109266848 116096026 218533696 232192052 437067392 464384104 928768208 1857536416 3715072832 7430145664