Search a number
-
+
20357644503378 = 23731319131311983
BaseRepresentation
bin1001010000011111000100…
…01010110100100101010010
32200002011122020200201020110
410220033202022310211102
510132014423443102003
6111144101153022150
74200535260111000
oct450174212644522
980064566621213
1020357644503378
1165396a0665976
122349545b54956
13b48943866430
1450545b099a70
152548380b2a03
hex1283e22b4952

20357644503378 has 512 divisors, whose sum is σ = 54465675264000. Its totient is φ = 5026290796800.

The previous prime is 20357644503377. The next prime is 20357644503389. The reversal of 20357644503378 is 87330544675302.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (20357644503377) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 20709709075 + ... + 20709710057.

It is an arithmetic number, because the mean of its divisors is an integer number (106378272000).

Almost surely, 220357644503378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20357644503378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27232837632000).

20357644503378 is an abundant number, since it is smaller than the sum of its proper divisors (34108030760622).

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

20357644503378 is a wasteful number, since it uses less digits than its factorization.

20357644503378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 20357644503378 in words is "twenty trillion, three hundred fifty-seven billion, six hundred forty-four million, five hundred three thousand, three hundred seventy-eight".