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7435064070 = 23257171634259
BaseRepresentation
bin1101110110010101…
…00001001100000110
3201012011101101111100
412323022201030012
5110211334022240
63225435120530
7352151000430
oct67312411406
921164341440
107435064070
113175999755
121535ba3146
139164a34c5
1450764b650
152d7b06e30
hex1bb2a1306

7435064070 has 192 divisors, whose sum is σ = 23541373440. Its totient is φ = 1589289984.

The previous prime is 7435064057. The next prime is 7435064071. The reversal of 7435064070 is 704605347.

7435064070 is a `hidden beast` number, since 7 + 4 + 3 + 5 + 0 + 640 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7435064071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1743601 + ... + 1747859.

It is an arithmetic number, because the mean of its divisors is an integer number (122611320).

Almost surely, 27435064070 is an apocalyptic number.

7435064070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7435064070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770686720).

7435064070 is an abundant number, since it is smaller than the sum of its proper divisors (16106309370).

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

7435064070 is a wasteful number, since it uses less digits than its factorization.

7435064070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7435064070 is about 86226.8175801473. The cubic root of 7435064070 is about 1951.7682028669.

The spelling of 7435064070 in words is "seven billion, four hundred thirty-five million, sixty-four thousand, seventy".