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48452409320040 = 23345119337145603
BaseRepresentation
bin10110000010001001101001…
…01001010110001001101000
320100120000010201021002120000
423001010310221112021220
522322321013241220130
6251014421330103000
713130366604611355
oct1301046451261150
9210500121232500
1048452409320040
1114490607a00540
125526499a1aa60
13210607276981b
14bd717561562c
155905596d8260
hex2c1134a56268

48452409320040 has 320 divisors, whose sum is σ = 177679081863360. Its totient is φ = 11744699950080.

The previous prime is 48452409319999. The next prime is 48452409320083. The reversal of 48452409320040 is 4002390425484.

48452409320040 is a `hidden beast` number, since 4 + 8 + 45 + 240 + 9 + 320 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332697879 + ... + 332843481.

It is an arithmetic number, because the mean of its divisors is an integer number (555247130823).

Almost surely, 248452409320040 is an apocalyptic number.

48452409320040 is a gapful number since it is divisible by the number (40) 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 48452409320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88839540931680).

48452409320040 is an abundant number, since it is smaller than the sum of its proper divisors (129226672543320).

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

48452409320040 is a wasteful number, since it uses less digits than its factorization.

48452409320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154974 (or 154961 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48452409320040 in words is "forty-eight trillion, four hundred fifty-two billion, four hundred nine million, three hundred twenty thousand, forty".