Search a number
-
+
5920620963840 = 211335112697237
BaseRepresentation
bin101011000101000000010…
…0000100110100000000000
3202222000011020212201011000
41112022000200212200000
51234000412431320330
620331521250452000
71150515335560602
oct126120040464000
922860136781130
105920620963840
111982a15202730
127b7557b94000
1333c409a8390b
141667b96d7172
15a4020278560
hex56280826800

5920620963840 has 768 divisors, whose sum is σ = 23047760736000. Its totient is φ = 1429768765440.

The previous prime is 5920620963809. The next prime is 5920620963841. The reversal of 5920620963840 is 483690260295.

It is a happy number.

5920620963840 is a `hidden beast` number, since 5 + 9 + 2 + 0 + 620 + 9 + 6 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5920620963841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818100702 + ... + 818107938.

It is an arithmetic number, because the mean of its divisors is an integer number (30010105125).

Almost surely, 25920620963840 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 5920620963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523880368000).

5920620963840 is an abundant number, since it is smaller than the sum of its proper divisors (17127139772160).

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

5920620963840 is a wasteful number, since it uses less digits than its factorization.

5920620963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5920620963840 in words is "five trillion, nine hundred twenty billion, six hundred twenty million, nine hundred sixty-three thousand, eight hundred forty".