Search a number
-
+
19308232120320 = 21133511133767197
BaseRepresentation
bin1000110001111100011000…
…10100010001100000000000
32112100211220220011011001000
410120332030110101200000
510012321224410322240
6105022025051412000
74031654664042063
oct430761424214000
975324826134030
1019308232120320
116174636738270
1221ba093a54000
13aa09b24ac310
144aa7483a48da
152373b887a430
hex118f8c511800

19308232120320 has 3072 divisors, whose sum is σ = 84475764172800. Its totient is φ = 4120180162560.

The previous prime is 19308232120279. The next prime is 19308232120327. The reversal of 19308232120320 is 2302123280391.

It is a happy number.

19308232120320 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 8 + 2 + 321 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×193082321203202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19308232120327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 98011330462 + ... + 98011330658.

It is an arithmetic number, because the mean of its divisors is an integer number (27498621150).

Almost surely, 219308232120320 is an apocalyptic number.

19308232120320 is a gapful number since it is divisible by the number (10) 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 19308232120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42237882086400).

19308232120320 is an abundant number, since it is smaller than the sum of its proper divisors (65167532052480).

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

19308232120320 is a wasteful number, since it uses less digits than its factorization.

19308232120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19308232120320 in words is "nineteen trillion, three hundred eight billion, two hundred thirty-two million, one hundred twenty thousand, three hundred twenty".