Search a number
-
+
1022328955488 = 25347962923531
BaseRepresentation
bin11101110000001111000…
…11011110001001100000
310121201210212021220001110
432320013203132021200
5113222212203033423
62101352413303320
7133601156512431
oct16700743361140
93551725256043
101022328955488
11364627052715
12146173a94b40
1375536316039
14376a3b77488
151b8d6bc3193
hexee078de260

1022328955488 has 96 divisors (see below), whose sum is σ = 2741112783360. Its totient is φ = 333476948480.

The previous prime is 1022328955469. The next prime is 1022328955499. The reversal of 1022328955488 is 8845598232201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43434283 + ... + 43457813.

It is an arithmetic number, because the mean of its divisors is an integer number (28553258160).

Almost surely, 21022328955488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022328955488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370556391680).

1022328955488 is an abundant number, since it is smaller than the sum of its proper divisors (1718783827872).

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

1022328955488 is a wasteful number, since it uses less digits than its factorization.

1022328955488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220 (or 33212 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 1022328955488 in words is "one trillion, twenty-two billion, three hundred twenty-eight million, nine hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9629 19258 23531 28887 38516 47062 57774 70593 77032 94124 115548 141186 154064 188248 231096 282372 308128 376496 452563 462192 564744 752992 905126 924384 1105957 1129488 1357689 1810252 2211914 2258976 2715378 3317871 3620504 4423828 5430756 6635742 7241008 8847656 10861512 13271484 14482016 17695312 21723024 26542968 35390624 43446048 53085936 106171872 226579999 453159998 679739997 906319996 1359479994 1812639992 2718959988 3625279984 5437919976 7250559968 10649259953 10875839952 21298519906 21751679904 31947779859 42597039812 63895559718 85194079624 127791119436 170388159248 255582238872 340776318496 511164477744 1022328955488