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2001383789904 = 243352312237243
BaseRepresentation
bin11101000111111011110…
…001010001010101010000
321002022220212200122212000
4131013323301101111100
5230242313222234104
64131231212234000
7264411104344662
oct35077361212520
97068825618760
102001383789904
11701866a78704
12283a6b46b900
13116964158775
146cc20582532
15370d971e639
hex1d1fbc51550

2001383789904 has 160 divisors (see below), whose sum is σ = 5761198402560. Its totient is φ = 665216053632.

The previous prime is 2001383789887. The next prime is 2001383789941. The reversal of 2001383789904 is 4099873831002.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 276316107 + ... + 276323349.

It is an arithmetic number, because the mean of its divisors is an integer number (36007490016).

Almost surely, 22001383789904 is an apocalyptic number.

2001383789904 is a gapful number since it is divisible by the number (24) 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 2001383789904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880599201280).

2001383789904 is an abundant number, since it is smaller than the sum of its proper divisors (3759814612656).

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

2001383789904 is a wasteful number, since it uses less digits than its factorization.

2001383789904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2001383789904 in words is "two trillion, one billion, three hundred eighty-three million, seven hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 523 1046 1223 1569 2092 2446 3138 3669 4184 4707 4892 6276 7243 7338 8368 9414 9784 11007 12552 14121 14486 14676 18828 19568 21729 22014 25104 28242 28972 29352 33021 37656 43458 44028 56484 57944 58704 65187 66042 75312 86916 88056 112968 115888 130374 132084 173832 176112 195561 225936 260748 264168 347664 391122 521496 528336 639629 782244 1042992 1279258 1564488 1918887 2558516 3128976 3788089 3837774 5117032 5756661 7576178 7675548 8858189 10234064 11364267 11513322 15152356 15351096 17269983 17716378 22728534 23026644 26574567 30304712 30702192 34092801 34539966 35432756 45457068 46053288 53149134 60609424 68185602 69079932 70865512 79723701 90914136 92106576 102278403 106298268 136371204 138159864 141731024 159447402 181828272 204556806 212596536 239171103 272742408 276319728 318894804 409113612 425193072 478342206 545484816 637789608 818227224 956684412 1275579216 1636454448 1913368824 3826737648 4632832847 9265665694 13898498541 18531331388 27796997082 37062662776 41695495623 55593994164 74125325552 83390991246 111187988328 125086486869 166781982492 222375976656 250172973738 333563964984 500345947476 667127929968 1000691894952 2001383789904