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99573043240 = 2351119710511093
BaseRepresentation
bin101110010111100000…
…1000001000000101000
3100112000102020200200101
41130233001001000220
53112411144340430
6113424311515144
710123340621416
oct1345701010050
9315012220611
1099573043240
1139257429180
121736a988ab4
13950b2203c8
144b684802b6
1528cb9eddca
hex172f041028

99573043240 has 128 divisors (see below), whose sum is σ = 246105889920. Its totient is φ = 35957376000.

The previous prime is 99573043217. The next prime is 99573043249. The reversal of 99573043240 is 4234037599.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99573043249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91100134 + ... + 91101226.

It is an arithmetic number, because the mean of its divisors is an integer number (1922702265).

Almost surely, 299573043240 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 99573043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123052944960).

99573043240 is an abundant number, since it is smaller than the sum of its proper divisors (146532846680).

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

99573043240 is a wasteful number, since it uses less digits than its factorization.

99573043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 99573043240 in words is "ninety-nine billion, five hundred seventy-three million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1051 1093 1576 1970 2102 2167 2186 3940 4204 4334 4372 5255 5465 7880 8408 8668 8744 10510 10835 10930 11561 12023 17336 21020 21670 21860 23122 24046 42040 43340 43720 46244 48092 57805 60115 86680 92488 96184 115610 120230 207047 215321 231220 240460 414094 430642 462440 480920 828188 861284 1035235 1076605 1148743 1656376 1722568 2070470 2153210 2277517 2297486 2368531 4140940 4306420 4555034 4594972 4737062 5743715 8281880 8612840 9110068 9189944 9474124 11387585 11487430 11842655 12636173 18220136 18948248 22775170 22974860 23685310 25272346 45550340 45949720 47370620 50544692 63180865 91100680 94741240 101089384 126361730 226302371 252723460 452604742 505446920 905209484 1131511855 1810418968 2263023710 2489326081 4526047420 4978652162 9052094840 9957304324 12446630405 19914608648 24893260810 49786521620 99573043240