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35014164000 = 253534171167
BaseRepresentation
bin100000100111000000…
…011011111000100000
310100101012022211021220
4200213000123320200
51033202111222000
624030231015040
72346453324534
oct404700337040
9110335284256
1035014164000
1113938645722
12695220a480
1333c014294a
1419a2355bc4
15d9de2c1a0
hex82701be20

35014164000 has 192 divisors, whose sum is σ = 117505769472. Its totient is φ = 9109248000.

The previous prime is 35014163999. The next prime is 35014164001. The reversal of 35014164000 is 46141053.

It is an interprime number because it is at equal distance from previous prime (35014163999) and next prime (35014164001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (35014164001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456417 + ... + 527583.

It is an arithmetic number, because the mean of its divisors is an integer number (612009216).

Almost surely, 235014164000 is an apocalyptic number.

35014164000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35014164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752884736).

35014164000 is an abundant number, since it is smaller than the sum of its proper divisors (82491605472).

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

35014164000 is a wasteful number, since it uses less digits than its factorization.

35014164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71236 (or 71218 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 35014164000 in words is "thirty-five billion, fourteen million, one hundred sixty-four thousand".