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5070378902400 = 27355271914877
BaseRepresentation
bin100100111001000101000…
…1000100010001110000000
3122221201112102102210200000
41021302022020202032000
51131033113444334100
614441144440400000
71032215500363410
oct111621210421600
918851472383600
105070378902400
111685376784609
1269a80b776000
132aa199b74306
1413759c830640
158bd5b229900
hex49c8a222380

5070378902400 has 1152 divisors, whose sum is σ = 21559380111360. Its totient is φ = 1152639590400.

The previous prime is 5070378902399. The next prime is 5070378902401. The reversal of 5070378902400 is 42098730705.

5070378902400 is a `hidden beast` number, since 507 + 0 + 37 + 8 + 90 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5070378902399) and next prime (5070378902401).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5070378902401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1039648762 + ... + 1039653638.

It is an arithmetic number, because the mean of its divisors is an integer number (18714739680).

Almost surely, 25070378902400 is an apocalyptic number.

5070378902400 is a gapful number since it is divisible by the number (50) 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 5070378902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10779690055680).

5070378902400 is an abundant number, since it is smaller than the sum of its proper divisors (16489001208960).

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

5070378902400 is a wasteful number, since it uses less digits than its factorization.

5070378902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5070378902400 in words is "five trillion, seventy billion, three hundred seventy-eight million, nine hundred two thousand, four hundred".