Search a number
-
+
120046836645820 = 22574361977334603
BaseRepresentation
bin11011010010111010010101…
…000011011111111110111100
3120202001100212110012011102101
4123102322111003133332330
5111213321410140131240
61103152431100434444
734200045344125030
oct3322722503377674
9522040773164371
10120046836645820
1135283639743467
1211569a6a848a24
1351ca4a29bba96
1421904255d41c0
15dd2a6143a39a
hex6d2e950dffbc

120046836645820 has 192 divisors, whose sum is σ = 299953287760896. Its totient is φ = 39502094929920.

The previous prime is 120046836645811. The next prime is 120046836645851. The reversal of 120046836645820 is 28546638640021.

It is a super-2 number, since 2×1200468366458202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358606639 + ... + 358941241.

It is an arithmetic number, because the mean of its divisors is an integer number (1562256707088).

Almost surely, 2120046836645820 is an apocalyptic number.

120046836645820 is a gapful number since it is divisible by the number (10) 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 120046836645820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149976643880448).

120046836645820 is an abundant number, since it is smaller than the sum of its proper divisors (179906451115076).

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

120046836645820 is a wasteful number, since it uses less digits than its factorization.

120046836645820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335700 (or 335698 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 120046836645820 in words is "one hundred twenty trillion, forty-six billion, eight hundred thirty-six million, six hundred forty-five thousand, eight hundred twenty".