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96379823401 = 283210972
BaseRepresentation
bin101100111000010101…
…1110110010100101001
3100012202212122022112221
41121300223312110221
53034341213322101
6112135402034041
76651244660531
oct1316053662451
9305685568487
1096379823401
1137968996914
12168194a8921
13911c7b6a04
14494433c4c1
1527914deaa1
hex1670af6529

96379823401 has 9 divisors (see below), whose sum is σ = 96809841111. Its totient is φ = 95951711472.

The previous prime is 96379823381. The next prime is 96379823417. The reversal of 96379823401 is 10432897369.

The square root of 96379823401 is 310451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27408458025 + 68971365376 = 165555^2 + 262624^2 .

It is not a de Polignac number, because 96379823401 - 225 = 96346268969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96379823431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87857085 + ... + 87858181.

Almost surely, 296379823401 is an apocalyptic number.

96379823401 is the 310451-st square number.

96379823401 is the 155226-th centered octagonal number.

It is an amenable number.

96379823401 is a deficient number, since it is larger than the sum of its proper divisors (430017710).

96379823401 is an frugal number, since it uses more digits than its factorization.

96379823401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 96379823401 in words is "ninety-six billion, three hundred seventy-nine million, eight hundred twenty-three thousand, four hundred one".

Divisors: 1 283 1097 80089 310451 1203409 87857633 340564747 96379823401