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96870744864 = 25321983213289
BaseRepresentation
bin101101000110111110…
…0100100001100100000
3100021001002101201012100
41122031330210030200
53041342402313424
6112300220130400
76666355513455
oct1321574441440
9307032351170
1096870744864
11380a0012433
1216935996a00
13919a41079a
14498d60d82c
1527be662dc9
hex168df24320

96870744864 has 144 divisors (see below), whose sum is σ = 293469976800. Its totient is φ = 30222056448.

The previous prime is 96870744851. The next prime is 96870744923. The reversal of 96870744864 is 46844707869.

96870744864 is a `hidden beast` number, since 9 + 6 + 87 + 0 + 74 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347532 + ... + 560820.

It is an arithmetic number, because the mean of its divisors is an integer number (2037985950).

Almost surely, 296870744864 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 96870744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146734988400).

96870744864 is an abundant number, since it is smaller than the sum of its proper divisors (196599231936).

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

96870744864 is a wasteful number, since it uses less digits than its factorization.

96870744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213407 (or 213396 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 96870744864 in words is "ninety-six billion, eight hundred seventy million, seven hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 83 96 114 144 152 166 171 228 249 288 304 332 342 456 498 608 664 684 747 912 996 1328 1368 1494 1577 1824 1992 2656 2736 2988 3154 3984 4731 5472 5976 6308 7968 9462 11952 12616 14193 18924 23904 25232 28386 37848 50464 56772 75696 113544 151392 213289 227088 426578 454176 639867 853156 1279734 1706312 1919601 2559468 3412624 3839202 4052491 5118936 6825248 7678404 8104982 10237872 12157473 15356808 16209964 17702987 20475744 24314946 30713616 32419928 35405974 36472419 48629892 53108961 61427232 64839856 70811948 72944838 97259784 106217922 129679712 141623896 145889676 159326883 194519568 212435844 283247792 291779352 318653766 336356753 389039136 424871688 566495584 583558704 637307532 672713506 849743376 1009070259 1167117408 1274615064 1345427012 1699486752 2018140518 2549230128 2690854024 3027210777 4036281036 5098460256 5381708048 6054421554 8072562072 10763416096 12108843108 16145124144 24217686216 32290248288 48435372432 96870744864