Search a number
-
+
9909621441720 = 233357211136121467
BaseRepresentation
bin1001000000110100001101…
…1101110100010010111000
31022002100110120000210101000
42100031003131310102320
52244324401042113340
633024230042525000
72041642441311300
oct220150335642270
938070416023330
109909621441720
113180712a62550
121140674206760
1356b61ca91380
142638b1c4c600
15122b8a73ad30
hex903437744b8

9909621441720 has 1536 divisors, whose sum is σ = 45884913177600. Its totient is φ = 1869499699200.

The previous prime is 9909621441677. The next prime is 9909621441767. The reversal of 9909621441720 is 271441269099.

9909621441720 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 6 + 214 + 417 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 461610427 + ... + 461631893.

It is an arithmetic number, because the mean of its divisors is an integer number (29872990350).

Almost surely, 29909621441720 is an apocalyptic number.

9909621441720 is a gapful number since it is divisible by the number (90) 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 9909621441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942456588800).

9909621441720 is an abundant number, since it is smaller than the sum of its proper divisors (35975291735880).

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

9909621441720 is a wasteful number, since it uses less digits than its factorization.

9909621441720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21586 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 9909621441720 in words is "nine trillion, nine hundred nine billion, six hundred twenty-one million, four hundred forty-one thousand, seven hundred twenty".