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48147074678100 = 223521371171461671
BaseRepresentation
bin10101111001010000111010…
…10010000111110101010100
320022110211000102021011210210
422330220131102013311110
522302320202104144400
6250222243305045420
713066340252151036
oct1274503522076524
9208424012234723
1048147074678100
1114383072511852
125497285a86870
1320b3332672768
14bc648bbc1c56
15587638a1e950
hex2bca1d487d54

48147074678100 has 72 divisors (see below), whose sum is σ = 140322364918848. Its totient is φ = 12745502969600.

The previous prime is 48147074678083. The next prime is 48147074678111. The reversal of 48147074678100 is 187647074184.

48147074678100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×481470746781002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585689736 + ... + 585771935.

It is an arithmetic number, because the mean of its divisors is an integer number (1948921734984).

Almost surely, 248147074678100 is an apocalyptic number.

It is an amenable number.

48147074678100 is an abundant number, since it is smaller than the sum of its proper divisors (92175290240748).

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

48147074678100 is a wasteful number, since it uses less digits than its factorization.

48147074678100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171461825 (or 1171461818 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 48147074678100 in words is "forty-eight trillion, one hundred forty-seven billion, seventy-four million, six hundred seventy-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 41100 1171461671 2342923342 3514385013 4685846684 5857308355 7028770026 11714616710 14057540052 17571925065 23429233420 29286541775 35143850130 58573083550 70287700260 87859625325 117146167100 160490248927 175719250650 320980497854 351438501300 481470746781 641960995708 802451244635 962941493562 1604902489270 1925882987124 2407353733905 3209804978540 4012256223175 4814707467810 8024512446350 9629414935620 12036768669525 16049024892700 24073537339050 48147074678100