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84009949588992 = 293747166243093
BaseRepresentation
bin10011000110100000010111…
…001100111110111000000000
3102000110021100211110012210010
4103012200113030332320000
542002404334043321432
6454401345452504520
723460342603206520
oct2306402714767000
9360407324405703
1084009949588992
112484a468454229
12950983617b140
1337b51480778cb
1416a6163493680
159aa4591453cc
hex4c681733ee00

84009949588992 has 160 divisors (see below), whose sum is σ = 261222428408832. Its totient is φ = 23492143816704.

The previous prime is 84009949588933. The next prime is 84009949589011. The reversal of 84009949588992 is 29988594990048.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

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, 82616203 + ... + 83626890.

Almost surely, 284009949588992 is an apocalyptic number.

It is an amenable number.

84009949588992 is an abundant number, since it is smaller than the sum of its proper divisors (177212478819840).

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

84009949588992 is a wasteful number, since it uses less digits than its factorization.

84009949588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166243168 (or 166243152 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 84.

The spelling of 84009949588992 in words is "eighty-four trillion, nine billion, nine hundred forty-nine million, five hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1128 1316 1344 1504 1536 1792 1974 2256 2632 2688 3008 3584 3948 4512 5264 5376 6016 7896 9024 10528 10752 12032 15792 18048 21056 24064 31584 36096 42112 63168 72192 84224 126336 168448 252672 505344 166243093 332486186 498729279 664972372 997458558 1163701651 1329944744 1994917116 2327403302 2659889488 3491104953 3989834232 4654806604 5319778976 6982209906 7813425371 7979668464 9309613208 10639557952 13964419812 15626850742 15959336928 18619226416 21279115904 23440276113 27928839624 31253701484 31918673856 37238452832 42558231808 46880552226 54693977597 55857679248 62507402968 63837347712 74476905664 85116463616 93761104452 109387955194 111715358496 125014805936 127674695424 148953811328 164081932791 187522208904 218775910388 223430716992 250029611872 255349390848 297907622656 328163865582 375044417808 437551820776 446861433984 500059223744 595815245312 656327731164 750088835616 875103641552 893722867968 1000118447488 1312655462328 1500177671232 1750207283104 1787445735936 2000236894976 2625310924656 3000355342464 3500414566208 4000473789952 5250621849312 6000710684928 7000829132416 10501243698624 12001421369856 14001658264832 21002487397248 28003316529664 42004974794496 84009949588992