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53198706176 = 2971119293179
BaseRepresentation
bin110001100010111000…
…111101011000000000
312002022111202021120222
4301202320331120000
51332422332044201
640234504522212
73562212353510
oct614270753000
9162274667528
1053198706176
112061a312380
12a388180368
13502a677685
14280949d840
1515b55d991b
hexc62e3d600

53198706176 has 640 divisors, whose sum is σ = 150847488000. Its totient is φ = 18114969600.

The previous prime is 53198706151. The next prime is 53198706181. The reversal of 53198706176 is 67160789135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673401305 + ... + 673401383.

It is an arithmetic number, because the mean of its divisors is an integer number (235699200).

Almost surely, 253198706176 is an apocalyptic number.

53198706176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53198706176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744000).

53198706176 is an abundant number, since it is smaller than the sum of its proper divisors (97648781824).

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

53198706176 is a wasteful number, since it uses less digits than its factorization.

53198706176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 53198706176 in words is "fifty-three billion, one hundred ninety-eight million, seven hundred six thousand, one hundred seventy-six".