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47380508992 = 2647672331009
BaseRepresentation
bin101100001000000110…
…010011000101000000
311112022000210020111101
4230020012103011000
51234013402241432
633433304424144
73265063452505
oct541006230500
9145260706441
1047380508992
1119104075753
129223778054
13461116424b
1424168974ac
1513749144e7
hexb08193140

47380508992 has 112 divisors (see below), whose sum is σ = 97969547520. Its totient is φ = 22719578112.

The previous prime is 47380508977. The next prime is 47380508993. The reversal of 47380508992 is 29980508374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47380508993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46957384 + ... + 46958392.

Almost surely, 247380508992 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 47380508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48984773760).

47380508992 is an abundant number, since it is smaller than the sum of its proper divisors (50589038528).

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

47380508992 is a wasteful number, since it uses less digits than its factorization.

47380508992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 47380508992 in words is "forty-seven billion, three hundred eighty million, five hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 67 94 134 188 233 268 376 466 536 752 932 1009 1072 1504 1864 2018 2144 3008 3149 3728 4036 4288 6298 7456 8072 10951 12596 14912 15611 16144 21902 25192 31222 32288 43804 47423 50384 62444 64576 67603 87608 94846 100768 124888 135206 175216 189692 201536 235097 249776 270412 350432 379384 470194 499552 540824 700864 733717 758768 940388 999104 1081648 1467434 1517536 1880776 2163296 2934868 3035072 3177341 3761552 4326592 5869736 6354682 7523104 11049559 11739472 12709364 15046208 15751499 22099118 23478944 25418728 31502998 44198236 46957888 50837456 63005996 88396472 101674912 126011992 176792944 203349824 252023984 353585888 504047968 707171776 740320453 1008095936 1480640906 2961281812 5922563624 11845127248 23690254496 47380508992