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99143232480 = 25325571120577
BaseRepresentation
bin101110001010101100…
…1011010101111100000
3100110220110111001011100
41130111121122233200
53111021131414410
6113313515314400
710106601400005
oct1342531325740
9313813431140
1099143232480
1139056851a76
121726aa4ba00
139470172006
144b273598ac
1528a3dec8c0
hex171565abe0

99143232480 has 144 divisors (see below), whose sum is σ = 338921607024. Its totient is φ = 26391674880.

The previous prime is 99143232479. The next prime is 99143232497. The reversal of 99143232480 is 8423234199.

99143232480 is a `hidden beast` number, since 9 + 9 + 143 + 23 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 761952 + ... + 882528.

It is an arithmetic number, because the mean of its divisors is an integer number (2353622271).

Almost surely, 299143232480 is an apocalyptic number.

99143232480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99143232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169460803512).

99143232480 is an abundant number, since it is smaller than the sum of its proper divisors (239778374544).

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

99143232480 is a wasteful number, since it uses less digits than its factorization.

99143232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121169 (or 121158 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 99143232480 in words is "ninety-nine billion, one hundred forty-three million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 571 720 1142 1440 1713 2284 2855 3426 4568 5139 5710 6852 8565 9136 10278 11420 13704 17130 18272 20556 22840 25695 27408 34260 41112 45680 51390 54816 68520 82224 91360 102780 120577 137040 164448 205560 241154 274080 361731 411120 482308 602885 723462 822240 964616 1085193 1205770 1446924 1808655 1929232 2170386 2411540 2893848 3617310 3858464 4340772 4823080 5425965 5787696 7234620 8681544 9646160 10851930 11575392 14469240 17363088 19292320 21703860 28938480 34726176 43407720 57876960 68849467 86815440 137698934 173630880 206548401 275397868 344247335 413096802 550795736 619645203 688494670 826193604 1032742005 1101591472 1239290406 1376989340 1652387208 2065484010 2203182944 2478580812 2753978680 3098226015 3304774416 4130968020 4957161624 5507957360 6196452030 6609548832 8261936040 9914323248 11015914720 12392904060 16523872080 19828646496 24785808120 33047744160 49571616240 99143232480