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35490067312 = 247325432
BaseRepresentation
bin100001000011010111…
…110111001101110000
310101121100211012220111
4201003113313031300
51040140424123222
624145351151104
72364322411000
oct410327671560
9111540735814
1035490067312
1114062243947
126a65675494
13346790ba3b
141a09638000
15dcaad5777
hex8435f7370

35490067312 has 60 divisors (see below), whose sum is σ = 80220473200. Its totient is φ = 15204047712.

The previous prime is 35490067309. The next prime is 35490067331. The reversal of 35490067312 is 21376009453.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

35490067312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13954713 + ... + 13957255.

Almost surely, 235490067312 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 35490067312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40110236600).

35490067312 is an abundant number, since it is smaller than the sum of its proper divisors (44730405888).

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

35490067312 is an frugal number, since it uses more digits than its factorization.

35490067312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 35490067312 in words is "thirty-five billion, four hundred ninety million, sixty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2543 2744 5086 5488 10172 17801 20344 35602 40688 71204 124607 142408 249214 284816 498428 872249 996856 1744498 1993712 3488996 6466849 6977992 12933698 13955984 25867396 45267943 51734792 90535886 103469584 181071772 316875601 362143544 633751202 724287088 1267502404 2218129207 2535004808 4436258414 5070009616 8872516828 17745033656 35490067312