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99454452496 = 247416092
BaseRepresentation
bin101110010011111110…
…0101000001100010000
3100111201011002122202121
41130213330220030100
53112140314434441
6113404434024024
710120400620000
oct1344774501420
9314634078677
1099454452496
11391a649a1a3
1217337118014
1394bc79aa79
144b56810000
1528c13c5dd1
hex1727f28310

99454452496 has 75 divisors (see below), whose sum is σ = 224934924021. Its totient is φ = 42596846208.

The previous prime is 99454452481. The next prime is 99454452523. The reversal of 99454452496 is 69425445499.

It is a happy number.

The square root of 99454452496 is 315364.

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., 97241690896 + 2212761600 = 311836^2 + 47040^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 61810540 + ... + 61812148.

Almost surely, 299454452496 is an apocalyptic number.

99454452496 is the 315364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99454452496

99454452496 is an abundant number, since it is smaller than the sum of its proper divisors (125480471525).

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

99454452496 is an frugal number, since it uses more digits than its factorization.

99454452496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1618 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 61.

The spelling of 99454452496 in words is "ninety-nine billion, four hundred fifty-four million, four hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 1609 2401 2744 3218 4802 5488 6436 9604 11263 12872 19208 22526 25744 38416 45052 78841 90104 157682 180208 315364 551887 630728 1103774 1261456 2207548 2588881 3863209 4415096 5177762 7726418 8830192 10355524 15452836 18122167 20711048 30905672 36244334 41422096 61811344 72488668 126855169 144977336 253710338 289954672 507420676 887986183 1014841352 1775972366 2029682704 3551944732 6215903281 7103889464 12431806562 14207778928 24863613124 49727226248 99454452496