Search a number
-
+
1020368272740 = 223519498725571
BaseRepresentation
bin11101101100100101011…
…00000011110101100100
310121112202012220212221220
432312102230003311210
5113204203234211430
62100430053140340
7133501451133255
oct16662254036544
93545665825856
101020368272740
1136381031a753
1214590732a6b0
13752b305682b
14375595d4b2c
151b81e9ca110
hexed92b03d64

1020368272740 has 48 divisors (see below), whose sum is σ = 2858497387200. Its totient is φ = 271958565760.

The previous prime is 1020368272697. The next prime is 1020368272787. The reversal of 1020368272740 is 472728630201.

It is a happy number.

1020368272740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10203682727402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020368272692 and 1020368272701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245846 + ... + 4479725.

It is an arithmetic number, because the mean of its divisors is an integer number (59552028900).

Almost surely, 21020368272740 is an apocalyptic number.

1020368272740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020368272740 is an abundant number, since it is smaller than the sum of its proper divisors (1838129114460).

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

1020368272740 is a wasteful number, since it uses less digits than its factorization.

1020368272740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727532 (or 8727530 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 1020368272740 in words is "one trillion, twenty billion, three hundred sixty-eight million, two hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1949 3898 5847 7796 9745 11694 19490 23388 29235 38980 58470 116940 8725571 17451142 26176713 34902284 43627855 52353426 87255710 104706852 130883565 174511420 261767130 523534260 17006137879 34012275758 51018413637 68024551516 85030689395 102036827274 170061378790 204073654548 255092068185 340122757580 510184136370 1020368272740