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96192402201 = 38725472
BaseRepresentation
bin101100110010110000…
…0111001001100011001
3100012021210222100000000
41121211200321030121
53034000223332301
6112105025003213
76643510633200
oct1314540711431
9305253870000
1096192402201
1137882115565
1216786783509
1390bca14cac
1449274b2237
15277ed1c786
hex1665839319

96192402201 has 81 divisors (see below), whose sum is σ = 168144792309. Its totient is φ = 54866598696.

The previous prime is 96192402199. The next prime is 96192402203. The reversal of 96192402201 is 10220429169.

The square root of 96192402201 is 310149.

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

It is an interprime number because it is at equal distance from previous prime (96192402199) and next prime (96192402203).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 96192402201 - 21 = 96192402199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96192402203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 175854210 + ... + 175854756.

Almost surely, 296192402201 is an apocalyptic number.

96192402201 is the 310149-th square number.

96192402201 is the 155075-th centered octagonal number.

It is an amenable number.

96192402201 is a deficient number, since it is larger than the sum of its proper divisors (71952390108).

96192402201 is an frugal number, since it uses more digits than its factorization.

96192402201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 96192402201 by its sum of digits (36), we get a square (3462926479236 = 18608942).

The spelling of 96192402201 in words is "ninety-six billion, one hundred ninety-two million, four hundred two thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 547 567 729 1323 1641 1701 2187 3829 3969 4923 5103 6561 11487 11907 14769 15309 26803 34461 35721 44307 45927 80409 103383 107163 132921 241227 299209 310149 321489 398763 723681 897627 930447 1196289 2094463 2171043 2692881 2791341 3588867 6283389 6513129 8078643 8374023 14661241 18850167 19539387 24235929 25122069 43983723 56550501 58618161 72707787 131951169 169651503 175854483 218123361 395853507 508954509 654370083 1187560521 1526863527 1963110249 3562681563 4580590581 10688044689 13741771743 32064134067 96192402201