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270035494231104 = 26337219672505259
BaseRepresentation
bin111101011001100010001001…
…101101011101110001000000
31022102010010210212220120221000
4331121202021231131301000
5240343230143010343404
62354152332105332000
7110610264165053100
oct7531421155356100
91272103725816830
10270035494231104
1179050456756668
1226352830797000
13b78a3127018a4
144a97b05489200
152134399bde339
hexf59889b5dc40

270035494231104 has 672 divisors, whose sum is σ = 986575396416000. Its totient is φ = 72001355424768.

The previous prime is 270035494231033. The next prime is 270035494231109. The reversal of 270035494231104 is 401132494530072.

270035494231104 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 35 + 494 + 23 + 1 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2700354942311042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 270035494231104.

It is not an unprimeable number, because it can be changed into a prime (270035494231109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106534827 + ... + 109040085.

Almost surely, 2270035494231104 is an apocalyptic number.

270035494231104 is a gapful number since it is divisible by the number (24) 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 270035494231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493287698208000).

270035494231104 is an abundant number, since it is smaller than the sum of its proper divisors (716539902184896).

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

270035494231104 is a wasteful number, since it uses less digits than its factorization.

270035494231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505380 (or 2505357 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 270035494231104 in words is "two hundred seventy trillion, thirty-five billion, four hundred ninety-four million, two hundred thirty-one thousand, one hundred four".