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7097435136 = 21035112593
BaseRepresentation
bin1101001110000101…
…00100010000000000
3200022122002001200000
412213002210100000
5104013420411021
63132134400000
7340611126501
oct64702442000
920278061600
107097435136
113012354080
121460b00000
1389155c17c
144b4880ba8
152b8163b26
hex1a70a4400

7097435136 has 264 divisors, whose sum is σ = 23193721824. Its totient is φ = 2149908480.

The previous prime is 7097435119. The next prime is 7097435143. The reversal of 7097435136 is 6315347907.

7097435136 is a `hidden beast` number, since 7 + 0 + 97 + 43 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 7097435091 and 7097435100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2735856 + ... + 2738448.

Almost surely, 27097435136 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 7097435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596860912).

7097435136 is an abundant number, since it is smaller than the sum of its proper divisors (16096286688).

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

7097435136 is a wasteful number, since it uses less digits than its factorization.

7097435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7097435136 is about 84246.2766892401. The cubic root of 7097435136 is about 1921.7658753792.

The spelling of 7097435136 in words is "seven billion, ninety-seven million, four hundred thirty-five thousand, one hundred thirty-six".