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47339190240 = 2535163605051
BaseRepresentation
bin101100000101101000…
…101011011111100000
311112012011001000211020
4230011220223133200
51233422313041430
633425231045440
73264052322616
oct540550533740
9145164030736
1047339190240
1119092814321
129211970880
134605728394
1424111bd6b6
151370ea1b10
hexb05a2b7e0

47339190240 has 96 divisors (see below), whose sum is σ = 150033534336. Its totient is φ = 12546316800.

The previous prime is 47339190169. The next prime is 47339190247. The reversal of 47339190240 is 4209193374.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×473391902402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47339190192 and 47339190201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47339190247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224286 + ... + 380765.

It is an arithmetic number, because the mean of its divisors is an integer number (1562849316).

Almost surely, 247339190240 is an apocalyptic number.

47339190240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47339190240 is an abundant number, since it is smaller than the sum of its proper divisors (102694344096).

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

47339190240 is a wasteful number, since it uses less digits than its factorization.

47339190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605232 (or 605224 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 47339190240 in words is "forty-seven billion, three hundred thirty-nine million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5216 6520 7824 9780 13040 15648 19560 26080 39120 78240 605051 1210102 1815153 2420204 3025255 3630306 4840408 6050510 7260612 9075765 9680816 12101020 14521224 18151530 19361632 24202040 29042448 36303060 48404080 58084896 72606120 96808160 98623313 145212240 197246626 290424480 295869939 394493252 493116565 591739878 788986504 986233130 1183479756 1479349695 1577973008 1972466260 2366959512 2958699390 3155946016 3944932520 4733919024 5917398780 7889865040 9467838048 11834797560 15779730080 23669595120 47339190240