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102894888934464 = 26311163298890619
BaseRepresentation
bin10111011001010100010101…
…010011011101110001000000
3111111022122200201120102122120
4113121110111103131301000
5101441312213031400324
61002501132011204240
730446624161113204
oct2731242523356100
9444278621512576
10102894888934464
112a870528380650
12b659876146680
134554c3c2bb483
141b5a1d3d54b04
15bd67eb234179
hex5d95154ddc40

102894888934464 has 112 divisors (see below), whose sum is σ = 298814104001280. Its totient is φ = 30988979274240.

The previous prime is 102894888934373. The next prime is 102894888934529. The reversal of 102894888934464 is 464439888498201.

It is a super-2 number, since 2×1028948889344642 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102894888934464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149101054 + ... + 149789565.

It is an arithmetic number, because the mean of its divisors is an integer number (2667983071440).

Almost surely, 2102894888934464 is an apocalyptic number.

It is an amenable number.

102894888934464 is an abundant number, since it is smaller than the sum of its proper divisors (195919215066816).

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

102894888934464 is a wasteful number, since it uses less digits than its factorization.

102894888934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298890808 (or 298890798 counting only the distinct ones).

The product of its (nonzero) digits is 3057647616, while the sum is 78.

The spelling of 102894888934464 in words is "one hundred two trillion, eight hundred ninety-four billion, eight hundred eighty-eight million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 163 176 192 264 326 352 489 528 652 704 978 1056 1304 1793 1956 2112 2608 3586 3912 5216 5379 7172 7824 10432 10758 14344 15648 21516 28688 31296 43032 57376 86064 114752 172128 344256 298890619 597781238 896671857 1195562476 1793343714 2391124952 3287796809 3586687428 4782249904 6575593618 7173374856 9564499808 9863390427 13151187236 14346749712 19128999616 19726780854 26302374472 28693499424 39453561708 48719170897 52604748944 57386998848 78907123416 97438341794 105209497888 146157512691 157814246832 194876683588 210418995776 292315025382 315628493664 389753367176 535910879867 584630050764 631256987328 779506734352 1071821759734 1169260101528 1559013468704 1607732639601 2143643519468 2338520203056 3118026937408 3215465279202 4287287038936 4677040406112 6430930558404 8574574077872 9354080812224 12861861116808 17149148155744 25723722233616 34298296311488 51447444467232 102894888934464