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2131306238592 = 27334987123661
BaseRepresentation
bin11111000000111011110…
…000000101001010000000
321112202021101200220002000
4133000323300011022000
5234404403344113332
64311035241224000
7306660520055136
oct37007360051200
97482241626060
102131306238592
11751977899343
122a508a192000
13125c9ac4963b
1475227621756
153a690864b7c
hex1f03bc05280

2131306238592 has 128 divisors (see below), whose sum is σ = 6291625771200. Its totient is φ = 710287211520.

The previous prime is 2131306238539. The next prime is 2131306238597. The reversal of 2131306238592 is 2958326031312.

2131306238592 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 30 + 6 + 23 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21313062385922 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131306238597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17173242 + ... + 17296902.

Almost surely, 22131306238592 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 2131306238592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145812885600).

2131306238592 is an abundant number, since it is smaller than the sum of its proper divisors (4160319532608).

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

2131306238592 is a wasteful number, since it uses less digits than its factorization.

2131306238592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128671 (or 128653 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2131306238592 in words is "two trillion, one hundred thirty-one billion, three hundred six million, two hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4987 9974 14961 19948 29922 39896 44883 59844 79792 89766 119688 123661 134649 159584 179532 239376 247322 269298 319168 359064 370983 478752 494644 538596 638336 718128 741966 957504 989288 1077192 1112949 1436256 1483932 1915008 1978576 2154384 2225898 2872512 2967864 3338847 3957152 4308768 4451796 5745024 5935728 6677694 7914304 8617536 8903592 11871456 13355388 15828608 17235072 17807184 23742912 26710776 35614368 47485824 53421552 71228736 106843104 142457472 213686208 427372416 616697407 1233394814 1850092221 2466789628 3700184442 4933579256 5550276663 7400368884 9867158512 11100553326 14800737768 16650829989 19734317024 22201106652 29601475536 33301659978 39468634048 44402213304 59202951072 66603319956 78937268096 88804426608 118405902144 133206639912 177608853216 236811804288 266413279824 355217706432 532826559648 710435412864 1065653119296 2131306238592