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99782701456 = 2415725032
BaseRepresentation
bin101110011101110000…
…0110011000110010000
3100112120000202102200111
41130323200303012100
53113323332421311
6113501201331104
710131464653024
oct1347340630620
9315500672614
1099782701456
1139354808529
1217409036a94
1395427a9819
144b88258384
1528e0114d21
hex173b833190

99782701456 has 45 divisors (see below), whose sum is σ = 194955806721. Its totient is φ = 49475015616.

The previous prime is 99782701427. The next prime is 99782701483. The reversal of 99782701456 is 65410728799.

The square root of 99782701456 is 315884.

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., 29247840400 + 70534861056 = 171020^2 + 265584^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 99782701456.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 198374901 + ... + 198375403.

Almost surely, 299782701456 is an apocalyptic number.

99782701456 is the 315884-th square number.

It is an amenable number.

99782701456 is a deficient number, since it is larger than the sum of its proper divisors (95173105265).

99782701456 is an frugal number, since it uses more digits than its factorization.

99782701456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 99782701456 in words is "ninety-nine billion, seven hundred eighty-two million, seven hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 157 314 503 628 1006 1256 2012 2512 4024 8048 24649 49298 78971 98596 157942 197192 253009 315884 394384 506018 631768 1012036 1263536 2024072 4048144 12398447 24796894 39722413 49593788 79444826 99187576 158889652 198375152 317779304 635558608 6236418841 12472837682 24945675364 49891350728 99782701456