Search a number
-
+
20738799783702 = 232711138923128993
BaseRepresentation
bin1001011011100101000001…
…10010110100111100010110
32201102121110121121010122200
410231302200302310330112
510204241030221034302
6112035134553305330
74240220535410220
oct455624062647426
981377417533580
1020738799783702
116676303900480
1223ab39a105246
13b75877c64470
14519a98585410
1525e6e539581c
hex12dca0cb4f16

20738799783702 has 192 divisors, whose sum is σ = 60338282973696. Its totient is φ = 4971743815680.

The previous prime is 20738799783673. The next prime is 20738799783719.

20738799783702 is a `hidden beast` number, since 20 + 7 + 3 + 87 + 99 + 78 + 370 + 2 = 666.

20738799783702 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160710118 + ... + 160839110.

It is an arithmetic number, because the mean of its divisors is an integer number (314261890488).

Almost surely, 220738799783702 is an apocalyptic number.

20738799783702 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20738799783702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30169141486848).

20738799783702 is an abundant number, since it is smaller than the sum of its proper divisors (39599483189994).

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

20738799783702 is a wasteful number, since it uses less digits than its factorization.

20738799783702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137955 (or 137952 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 20738799783702 in words is "twenty trillion, seven hundred thirty-eight billion, seven hundred ninety-nine million, seven hundred eighty-three thousand, seven hundred two".