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84000807936 = 2103229314299
BaseRepresentation
bin100111000111011010…
…1101001110000000000
322000211011100011201200
41032032311221300000
52334013201323221
6102331152501200
76032422041453
oct1161665516000
9260734304650
1084000807936
11326962a2321
121434384a800
137bc8c7a1a6
1440cc25d49a
1522b9853426
hex138ed69c00

84000807936 has 132 divisors (see below), whose sum is σ = 250915119000. Its totient is φ = 27034656768.

The previous prime is 84000807931. The next prime is 84000807991. The reversal of 84000807936 is 63970800048.

It is a happy number.

It is a super-2 number, since 2×840008079362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84000807891 and 84000807900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84000807931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110115 + ... + 424413.

Almost surely, 284000807936 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 84000807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125457559500).

84000807936 is an abundant number, since it is smaller than the sum of its proper divisors (166914311064).

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

84000807936 is a wasteful number, since it uses less digits than its factorization.

84000807936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314354 (or 314333 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84000807936 in words is "eighty-four billion, eight hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 29696 33408 44544 66816 89088 133632 267264 314299 628598 942897 1257196 1885794 2514392 2828691 3771588 5028784 5657382 7543176 9114671 10057568 11314764 15086352 18229342 20115136 22629528 27344013 30172704 36458684 40230272 45259056 54688026 60345408 72917368 80460544 82032039 90518112 109376052 120690816 145834736 160921088 164064078 181036224 218752104 241381632 291669472 321842176 328128156 362072448 437504208 482763264 583338944 656256312 724144896 875008416 965526528 1166677888 1312512624 1448289792 1750016832 2333355776 2625025248 2896579584 3500033664 4666711552 5250050496 7000067328 9333423104 10500100992 14000134656 21000201984 28000269312 42000403968 84000807936