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96112062285408 = 25321369737368111
BaseRepresentation
bin10101110110100111010101…
…010101001100011001100000
3110121022020000212120202110200
4111312213111111030121200
5100044200000421113113
6540225134420225200
726146603333634361
oct2566472525143140
9417266025522420
1096112062285408
1128695995584224
12a9431b323b200
134182436b8ba40
1419a3bc4925b68
15b1a1669c4873
hex5769d554c660

96112062285408 has 144 divisors (see below), whose sum is σ = 294348211125696. Its totient is φ = 29572437841920.

The previous prime is 96112062285331. The next prime is 96112062285409. The reversal of 96112062285408 is 80458226021169.

96112062285408 is a `hidden beast` number, since 9 + 6 + 1 + 1 + 2 + 0 + 6 + 228 + 5 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96112062285409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260911273 + ... + 261279383.

It is an arithmetic number, because the mean of its divisors is an integer number (2044084799484).

Almost surely, 296112062285408 is an apocalyptic number.

It is an amenable number.

96112062285408 is an abundant number, since it is smaller than the sum of its proper divisors (198236148840288).

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

96112062285408 is a wasteful number, since it uses less digits than its factorization.

96112062285408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437877 (or 437866 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 96112062285408 in words is "ninety-six trillion, one hundred twelve billion, sixty-two million, two hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 69737 139474 209211 278948 368111 418422 557896 627633 736222 836844 906581 1104333 1115792 1255266 1472444 1673688 1813162 2208666 2231584 2510532 2719743 2944888 3312999 3347376 3626324 4417332 4785443 5021064 5439486 5889776 6625998 6694752 7252648 8159229 8834664 9570886 10042128 10878972 11779552 13251996 14356329 14505296 16318458 17669328 19141772 20084256 21757944 26503992 28712658 29010592 32636916 35338656 38283544 43068987 43515888 53007984 57425316 65273832 76567088 86137974 87031776 106015968 114850632 130547664 153134176 172275948 229701264 261095328 344551896 459402528 689103792 1378207584 25670956807 51341913614 77012870421 102683827228 154025740842 205367654456 231038611263 308051481684 333722438491 410735308912 462077222526 616102963368 667444876982 821470617824 924154445052 1001167315473 1232205926736 1334889753964 1848308890104 2002334630946 2464411853472 2669779507928 3003501946419 3696617780208 4004669261892 5339559015856 6007003892838 7393235560416 8009338523784 10679118031712 12014007785676 16018677047568 24028015571352 32037354095136 48056031142704 96112062285408