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84797277716096 = 2711672803320687
BaseRepresentation
bin10011010001111101100111…
…100111011011111010000000
3102010020112121002020010001222
4103101331213213123322000
542103304311043403341
6500203155343014212
723601254406651641
oct2321754747337200
9363215532203058
1084797277716096
11250233616792a0
12961634489a368
13384146c91aa2a
1416d22d28a56c8
159c0b89bed44b
hex4d1f679dbe80

84797277716096 has 128 divisors (see below), whose sum is σ = 187107440348160. Its totient is φ = 37955266145280.

The previous prime is 84797277716089. The next prime is 84797277716101. The reversal of 84797277716096 is 69061777279748.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×847972777160962 (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 84797277716096.

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, 264263465 + ... + 264584151.

It is an arithmetic number, because the mean of its divisors is an integer number (1461776877720).

Almost surely, 284797277716096 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 84797277716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93553720174080).

84797277716096 is an abundant number, since it is smaller than the sum of its proper divisors (102310162632064).

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

84797277716096 is a wasteful number, since it uses less digits than its factorization.

84797277716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323582 (or 323570 counting only the distinct ones).

The product of its (nonzero) digits is 3136589568, while the sum is 80.

The spelling of 84797277716096 in words is "eighty-four trillion, seven hundred ninety-seven billion, two hundred seventy-seven million, seven hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 704 737 1072 1408 1474 2144 2803 2948 4288 5606 5896 8576 11212 11792 22424 23584 30833 44848 47168 61666 89696 94336 123332 179392 187801 246664 320687 358784 375602 493328 641374 751204 986656 1282748 1502408 1973312 2065811 2565496 3004816 3527557 3946624 4131622 5130992 6009632 7055114 8263244 10261984 12019264 14110228 16526488 20523968 21486029 24038528 28220456 33052976 41047936 42972058 56440912 66105952 85944116 112881824 132211904 171888232 225763648 236346319 264423808 343776464 451527296 472692638 687552928 898885661 945385276 1375105856 1797771322 1890770552 2750211712 3595542644 3781541104 7191085288 7563082208 9887742271 14382170576 15126164416 19775484542 28764341152 30252328832 39550969084 57528682304 60225339287 79101938168 115057364608 120450678574 158203876336 240901357148 316407752672 481802714296 632815505344 662478732157 963605428592 1265631010688 1324957464314 1927210857184 2649914928628 3854421714368 5299829857256 7708843428736 10599659714512 21199319429024 42398638858048 84797277716096