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96412484448 = 25327105145503
BaseRepresentation
bin101100111001010100…
…0011100001101100000
3100012212011002200002100
41121302220130031200
53034423044000243
6112142530050400
76652122411330
oct1316250341540
9305764080070
1096412484448
1137985374615
1216828419a00
1391264b0c87
1449488010c0
1527942e20d3
hex1672a1c360

96412484448 has 144 divisors (see below), whose sum is σ = 313645602816. Its totient is φ = 27519609600.

The previous prime is 96412484447. The next prime is 96412484477. The reversal of 96412484448 is 84448421469.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96412484394 and 96412484403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96412484447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2096065 + ... + 2141567.

It is an arithmetic number, because the mean of its divisors is an integer number (2178094464).

Almost surely, 296412484448 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 96412484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156822801408).

96412484448 is an abundant number, since it is smaller than the sum of its proper divisors (217233118368).

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

96412484448 is a wasteful number, since it uses less digits than its factorization.

96412484448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46577 (or 46566 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 96412484448 in words is "ninety-six billion, four hundred twelve million, four hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1051 2016 2102 3153 4204 6306 7357 8408 9459 12612 14714 16816 18918 22071 25224 29428 33632 37836 44142 45503 50448 58856 66213 75672 88284 91006 100896 117712 132426 136509 151344 176568 182012 235424 264852 273018 302688 318521 353136 364024 409527 529704 546036 637042 706272 728048 819054 955563 1059408 1092072 1274084 1456096 1638108 1911126 2118816 2184144 2548168 2866689 3276216 3822252 4368288 5096336 5733378 6552432 7644504 10192672 11466756 13104864 15289008 22933512 30578016 45867024 47823653 91734048 95647306 143470959 191294612 286941918 334765571 382589224 430412877 573883836 669531142 765178448 860825754 1004296713 1147767672 1339062284 1530356896 1721651508 2008593426 2295535344 2678124568 3012890139 3443303016 4017186852 4591070688 5356249136 6025780278 6886606032 8034373704 10712498272 12051560556 13773212064 16068747408 24103121112 32137494816 48206242224 96412484448