Search a number
-
+
20733395399640 = 23345721131382979
BaseRepresentation
bin1001011011011010111101…
…01010101111001111011000
32201102002111222021222110000
410231231132222233033120
510204143443210242030
6112032442414453000
74236636603041400
oct455553652571730
981362458258400
1020733395399640
116673a90203770
1223aa330204160
13b751c63ba981
145197048db800
1525e4cabb1860
hex12db5eaaf3d8

20733395399640 has 960 divisors, whose sum is σ = 91287235353600. Its totient is φ = 4169251699200.

The previous prime is 20733395399621. The next prime is 20733395399657. The reversal of 20733395399640 is 4699359333702.

It is a happy number.

20733395399640 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 3 + 3 + 9 + 539 + 96 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53945671 + ... + 54328649.

It is an arithmetic number, because the mean of its divisors is an integer number (95090870160).

Almost surely, 220733395399640 is an apocalyptic number.

20733395399640 is a gapful number since it is divisible by the number (20) 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 20733395399640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45643617676800).

20733395399640 is an abundant number, since it is smaller than the sum of its proper divisors (70553839953960).

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

20733395399640 is a wasteful number, since it uses less digits than its factorization.

20733395399640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383058 (or 383038 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 20733395399640 in words is "twenty trillion, seven hundred thirty-three billion, three hundred ninety-five million, three hundred ninety-nine thousand, six hundred forty".