Search a number
-
+
722840401920 = 211357131931439
BaseRepresentation
bin10101000010011001010…
…01010011100000000000
32120002202222202000220210
422201030221103200000
543320334120330140
61312022430234120
7103136442016410
oct12411451234000
92502688660823
10722840401920
1125961162071a
12b8111955940
1353218449570
1426db292a640
1513c0938dd80
hexa84ca53800

722840401920 has 1536 divisors, whose sum is σ = 3099672576000. Its totient is φ = 139505172480.

The previous prime is 722840401919. The next prime is 722840401973. The reversal of 722840401920 is 29104048227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 1646561061 + ... + 1646561499.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016000).

Almost surely, 2722840401920 is an apocalyptic number.

722840401920 is a gapful number since it is divisible by the number (70) 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 722840401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288000).

722840401920 is an abundant number, since it is smaller than the sum of its proper divisors (2376832174080).

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

722840401920 is a wasteful number, since it uses less digits than its factorization.

722840401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 722840401920 in words is "seven hundred twenty-two billion, eight hundred forty million, four hundred one thousand, nine hundred twenty".