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86710522733952 = 2731388071972283
BaseRepresentation
bin10011101101110011011101…
…111001111110010110000000
3102101000110000102021020120020
4103231303131321332112000
542331131122304441302
6504230133023413440
724156425405200635
oct2355633571762600
9371013012236506
1086710522733952
11256a07a95a9a27
1298850b6754280
13394c9c8731130
14175ab5140018c
15a05816690ebc
hex4edcdde7e580

86710522733952 has 128 divisors (see below), whose sum is σ = 248070410300160. Its totient is φ = 26677117888512.

The previous prime is 86710522733927. The next prime is 86710522733957. The reversal of 86710522733952 is 25933722501768.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86710522733957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42978403 + ... + 44950685.

It is an arithmetic number, because the mean of its divisors is an integer number (1938050080470).

Almost surely, 286710522733952 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 86710522733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124035205150080).

86710522733952 is an abundant number, since it is smaller than the sum of its proper divisors (161359887566208).

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

86710522733952 is a wasteful number, since it uses less digits than its factorization.

86710522733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981120 (or 1981108 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 86710522733952 in words is "eighty-six trillion, seven hundred ten billion, five hundred twenty-two million, seven hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8807 17614 26421 35228 52842 70456 105684 114491 140912 211368 228982 281824 343473 422736 457964 563648 686946 845472 915928 1127296 1373892 1690944 1831856 1972283 2747784 3381888 3663712 3944566 5495568 5916849 7327424 7889132 10991136 11833698 14654848 15778264 21982272 23667396 25639679 31556528 43964544 47334792 51279358 63113056 76919037 94669584 102558716 126226112 153838074 189339168 205117432 252452224 307676148 378678336 410234864 615352296 757356672 820469728 1230704592 1640939456 2461409184 3281878912 4922818368 9845636736 17369896381 34739792762 52109689143 69479585524 104219378286 138959171048 208438756572 225808652953 277918342096 416877513144 451617305906 555836684192 677425958859 833755026288 903234611812 1111673368384 1354851917718 1667510052576 1806469223624 2223346736768 2709703835436 3335020105152 3612938447248 5419407670872 6670040210304 7225876894496 10838815341744 14451753788992 21677630683488 28903507577984 43355261366976 86710522733952