Search a number
-
+
1621151922144 = 253194171503607
BaseRepresentation
bin10111100101110100001…
…011110011011111100000
312201222110212100110100010
4113211310023303133200
5203030104343002034
63240425155524520
7225060440655366
oct27456413633740
95658425313303
101621151922144
11575587aa6687
122222345b9740
13b9b491608c1
145866d989636
152c2835403e9
hex179742f37e0

1621151922144 has 384 divisors, whose sum is σ = 4670317854720. Its totient is φ = 490633113600.

The previous prime is 1621151922041. The next prime is 1621151922149. The reversal of 1621151922144 is 4412291511261.

It is a super-3 number, since 3×16211519221443 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1621151922149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2670760689 + ... + 2670761295.

It is an arithmetic number, because the mean of its divisors is an integer number (12162286080).

Almost surely, 21621151922144 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 1621151922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335158927360).

1621151922144 is an abundant number, since it is smaller than the sum of its proper divisors (3049165932576).

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

1621151922144 is a wasteful number, since it uses less digits than its factorization.

1621151922144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The spelling of 1621151922144 in words is "one trillion, six hundred twenty-one billion, one hundred fifty-one million, nine hundred twenty-two thousand, one hundred forty-four".