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1011104658928 = 247133744941801
BaseRepresentation
bin11101011011010101000…
…10001011010111110000
310120122211121210112210001
432231222202023113300
5113031220243041203
62052254533515344
7133023054536650
oct16555242132760
93518747715701
101011104658928
1135a897247571
12143b60aa2b54
1374467aa8440
1436d1b19c360
151b47b5ca91d
hexeb6a88b5f0

1011104658928 has 160 divisors (see below), whose sum is σ = 2481834902400. Its totient is φ = 388310630400.

The previous prime is 1011104658853. The next prime is 1011104658979. The reversal of 1011104658928 is 8298564011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24167628 + ... + 24209428.

It is an arithmetic number, because the mean of its divisors is an integer number (15511468140).

Almost surely, 21011104658928 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 1011104658928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240917451200).

1011104658928 is an abundant number, since it is smaller than the sum of its proper divisors (1470730243472).

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

1011104658928 is a wasteful number, since it uses less digits than its factorization.

1011104658928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42315 (or 42309 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 1011104658928 in words is "one trillion, eleven billion, one hundred four million, six hundred fifty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 449 481 518 592 728 898 962 1036 1456 1796 1924 2072 3143 3367 3592 3848 4144 5837 6286 6734 7184 7696 11674 12572 13468 16613 23348 25144 26936 33226 40859 41801 46696 50288 53872 66452 81718 83602 93392 116291 132904 163436 167204 215969 232582 265808 292607 326872 334408 431938 465164 543413 585214 653744 668816 863876 930328 1086826 1170428 1511783 1546637 1727752 1860656 2173652 2340856 3023566 3093274 3455504 3803891 4347304 4681712 6047132 6186548 7607782 8694608 10826459 12094264 12373096 15215564 18768649 20106281 21652918 24188528 24746192 30431128 37537298 40212562 43305836 60862256 75074596 80425124 86611672 131380543 140743967 150149192 160850248 173223344 243992437 262761086 281487934 300298384 321700496 487984874 525522172 562975868 694440013 975969748 1051044344 1125951736 1388880026 1707947059 1951939496 2102088688 2251903472 2777760052 3415894118 3903878992 4861080091 5555520104 6831788236 9027720169 9722160182 11111040208 13663576472 18055440338 19444320364 27327152944 36110880676 38888640728 63194041183 72221761352 77777281456 126388082366 144443522704 252776164732 505552329464 1011104658928