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52178810040 = 2334571926373
BaseRepresentation
bin110000100110000110…
…010111010010111000
311222200102122012010000
4300212012113102320
51323330233410130
635545352553000
73525016365420
oct604606272270
9158612565100
1052178810040
112014663a305
12a1426b2760
134bc7292436
14274dc53480
151555cc8260
hexc261974b8

52178810040 has 480 divisors, whose sum is σ = 211570397280. Its totient is φ = 11297097216.

The previous prime is 52178810029. The next prime is 52178810063. The reversal of 52178810040 is 4001887125.

52178810040 is a `hidden beast` number, since 521 + 7 + 88 + 10 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52178809977 and 52178810004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8184294 + ... + 8190666.

It is an arithmetic number, because the mean of its divisors is an integer number (440771661).

Almost surely, 252178810040 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 52178810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105785198640).

52178810040 is an abundant number, since it is smaller than the sum of its proper divisors (159391587240).

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

52178810040 is a wasteful number, since it uses less digits than its factorization.

52178810040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 52178810040 in words is "fifty-two billion, one hundred seventy-eight million, eight hundred ten thousand, forty".