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11364676431472 = 2471371509215983
BaseRepresentation
bin1010010101100000101110…
…0000000110111001110000
31111020110012211200211210101
42211120023200012321300
52442144324131301342
640100505453042144
72252033163540460
oct245301340067160
944213184624711
1011364676431472
113691806629471
121336673186354
136458b87ab150
142b40a6281ba0
1514a94be0a3b7
hexa560b806e70

11364676431472 has 160 divisors (see below), whose sum is σ = 27536197570560. Its totient is φ = 4423864273920.

The previous prime is 11364676431469. The next prime is 11364676431499. The reversal of 11364676431472 is 27413467646311.

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, 52510393 + ... + 52726375.

It is an arithmetic number, because the mean of its divisors is an integer number (172101234816).

Almost surely, 211364676431472 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 11364676431472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768098785280).

11364676431472 is an abundant number, since it is smaller than the sum of its proper divisors (16171521139088).

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

11364676431472 is a wasteful number, since it uses less digits than its factorization.

11364676431472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216591 (or 216585 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 55.

The spelling of 11364676431472 in words is "eleven trillion, three hundred sixty-four billion, six hundred seventy-six million, four hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 71 91 104 112 142 182 208 284 364 497 509 568 728 923 994 1018 1136 1456 1846 1988 2036 3563 3692 3976 4072 6461 6617 7126 7384 7952 8144 12922 13234 14252 14768 25844 26468 28504 36139 46319 51688 52936 57008 72278 92638 103376 105872 144556 185276 215983 252973 289112 370552 431966 469807 505946 578224 741104 863932 939614 1011892 1511881 1727864 1879228 2023784 2807779 3023762 3288649 3455728 3758456 4047568 5615558 6047524 6577298 7516912 11231116 12095048 13154596 15334793 19654453 22462232 24190096 26309192 30669586 39308906 44924464 52618384 61339172 78617812 107343551 109935347 122678344 157235624 199352309 214687102 219870694 245356688 314471248 398704618 429374204 439741388 769547429 797409236 858748408 879482776 1395466163 1429159511 1539094858 1594818472 1717496816 1758965552 2790932326 2858319022 3078189716 3189636944 5581864652 5716638044 6156379432 7805409637 10004116577 11163729304 11433276088 12312758864 15610819274 20008233154 22327458608 22866552176 31221638548 40016466308 54637867459 62443277096 80032932616 101470325281 109275734918 124886554192 160065865232 202940650562 218551469836 405881301124 437102939672 710292276967 811762602248 874205879344 1420584553934 1623525204496 2841169107868 5682338215736 11364676431472