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10232891771472 = 24331013175313339
BaseRepresentation
bin1001010011101000011111…
…1000010000101001010000
31100020020212211012001102000
42110322013320100221100
52320123430243141342
633432531531554000
72104205411626626
oct224720770205120
940206784161360
1010232891771472
1132958216a7a27
1211932528bb900
13592c5a98c066
142753bb72b516
1512b2aad0744c
hex94e87e10a50

10232891771472 has 160 divisors (see below), whose sum is σ = 29420161929600. Its totient is φ = 3405397552128.

The previous prime is 10232891771387. The next prime is 10232891771483. The reversal of 10232891771472 is 27417719823201.

10232891771472 is a `hidden beast` number, since 1 + 0 + 2 + 328 + 9 + 177 + 147 + 2 = 666.

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, 767134179 + ... + 767147517.

It is an arithmetic number, because the mean of its divisors is an integer number (183876012060).

Almost surely, 210232891771472 is an apocalyptic number.

10232891771472 is a gapful number since it is divisible by the number (12) 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 10232891771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710080964800).

10232891771472 is an abundant number, since it is smaller than the sum of its proper divisors (19187270158128).

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

10232891771472 is a wasteful number, since it uses less digits than its factorization.

10232891771472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16122 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 10232891771472 in words is "ten trillion, two hundred thirty-two billion, eight hundred ninety-one million, seven hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1013 1753 2026 3039 3506 4052 5259 6078 7012 8104 9117 10518 12156 13339 14024 15777 16208 18234 21036 24312 26678 27351 28048 31554 36468 40017 42072 47331 48624 53356 54702 63108 72936 80034 84144 94662 106712 109404 120051 126216 145872 160068 189324 213424 218808 240102 252432 320136 360153 378648 437616 480204 640272 720306 757296 960408 1440612 1775789 1920816 2881224 3551578 5327367 5762448 7103156 10654734 13512407 14206312 15982101 21309468 23383267 27024814 28412624 31964202 40537221 42618936 46766534 47946303 54049628 63928404 70149801 81074442 85237872 93533068 95892606 108099256 121611663 127856808 140299602 162148884 187066136 191785212 210449403 216198512 243223326 255713616 280599204 324297768 364834989 374132272 383570424 420898806 486446652 561198408 631348209 648595536 729669978 767140848 841797612 972893304 1122396816 1262696418 1459339956 1683595224 1945786608 2525392836 2918679912 3367190448 5050785672 5837359824 10101571344 23687249471 47374498942 71061748413 94748997884 142123496826 189497995768 213185245239 284246993652 378995991536 426370490478 568493987304 639555735717 852740980956 1136987974608 1279111471434 1705481961912 2558222942868 3410963923824 5116445885736 10232891771472