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47560648002 = 23759108717657
BaseRepresentation
bin101100010010110101…
…011110010101000010
311112202120202020202120
4230102311132111002
51234401011214002
633503221425110
73302411560230
oct542265362502
9145676666676
1047560648002
111919682286a
129273b6b196
13463c58648a
142432789950
151385648cbc
hexb12d5e542

47560648002 has 64 divisors (see below), whose sum is σ = 110660567040. Its totient is φ = 13345393536.

The previous prime is 47560647997. The next prime is 47560648013. The reversal of 47560648002 is 20084606574.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2684758 + ... + 2702414.

It is an arithmetic number, because the mean of its divisors is an integer number (1729071360).

Almost surely, 247560648002 is an apocalyptic number.

47560648002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47560648002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55330283520).

47560648002 is an abundant number, since it is smaller than the sum of its proper divisors (63099919038).

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

47560648002 is a wasteful number, since it uses less digits than its factorization.

47560648002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815.

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 47560648002 in words is "forty-seven billion, five hundred sixty million, six hundred forty-eight thousand, two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1087 1239 2174 2478 3261 6522 7609 15218 17657 22827 35314 45654 52971 64133 105942 123599 128266 192399 247198 370797 384798 448931 741594 897862 1041763 1346793 2083526 2693586 3125289 6250578 7292341 14584682 19193159 21877023 38386318 43754046 57579477 115158954 134352113 268704226 403056339 806112678 1132396381 2264792762 3397189143 6794378286 7926774667 15853549334 23780324001 47560648002