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4152695040 = 2835513279
BaseRepresentation
bin1111011110000101…
…0001100100000000
3101201102000202200000
43313201101210000
532001042220130
61524022400000
7204623216424
oct36741214400
911642022600
104152695040
1118410a727a
1297a890000
13512455200
142b5740b84
15194888260
hexf7851900

4152695040 has 648 divisors, whose sum is σ = 16338591360. Its totient is φ = 1009262592.

The previous prime is 4152695023. The next prime is 4152695143. The reversal of 4152695040 is 405962514.

4152695040 is a `hidden beast` number, since 4 + 1 + 526 + 95 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4152694986 and 4152695004.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 52565721 + ... + 52565799.

It is a vampire number, since it can be written as 4550491260 (with its own digits).

Almost surely, 24152695040 is an apocalyptic number.

4152695040 is a gapful number since it is divisible by the number (40) 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 4152695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169295680).

4152695040 is an abundant number, since it is smaller than the sum of its proper divisors (12185896320).

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

4152695040 is an equidigital number, since it uses as much as digits as its factorization.

4152695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4152695040 is about 64441.4078058510. The cubic root of 4152695040 is about 1607.3483659486.

The spelling of 4152695040 in words is "four billion, one hundred fifty-two million, six hundred ninety-five thousand, forty".