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472603144000 = 2653134544261
BaseRepresentation
bin1101110000010010101…
…01111010111101000000
31200011212112012020010011
412320021111322331000
530220342401102000
61001035541314304
746100355304531
oct6701125727500
91604775166104
10472603144000
11172480177049
1277715a05994
1335749189990
1418c347d8688
15c46080b2ba
hex6e0957af40

472603144000 has 112 divisors (see below), whose sum is σ = 1260432862416. Its totient is φ = 174499584000.

The previous prime is 472603143953. The next prime is 472603144043. The reversal of 472603144000 is 441306274.

It can be written as a sum of positive squares in 8 ways, for example, as 148058726656 + 324544417344 = 384784^2 + 569688^2 .

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 15 ways as a sum of consecutive naturals, for example, 2168131 + ... + 2376130.

It is an arithmetic number, because the mean of its divisors is an integer number (11253864843).

Almost surely, 2472603144000 is an apocalyptic number.

472603144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472603144000 is an abundant number, since it is smaller than the sum of its proper divisors (787829718416).

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

472603144000 is a wasteful number, since it uses less digits than its factorization.

472603144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544301 (or 4544281 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 472603144000 in words is "four hundred seventy-two billion, six hundred three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 4544261 9088522 18177044 22721305 36354088 45442610 59075393 72708176 90885220 113606525 118150786 145416352 181770440 227213050 236301572 290832704 295376965 363540880 454426100 472603144 568032625 590753930 727081760 908852200 945206288 1136065250 1181507860 1454163520 1476884825 1817704400 1890412576 2272130500 2363015720 2953769650 3635408800 3780825152 4544261000 4726031440 5907539300 7270817600 7384424125 9088522000 9452062880 11815078600 14768848250 18177044000 18904125760 23630157200 29537696500 36354088000 47260314400 59075393000 94520628800 118150786000 236301572000 472603144000