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52148154240 = 2733571322551
BaseRepresentation
bin110000100100010001…
…011010111110000000
311222121021221201021000
4300210101122332000
51323244411413430
635542335532000
73524164666050
oct604421327600
9158537851230
1052148154240
1120130301136
12a13438a000
134bc0b1ab00
142749b53560
15155326ee60
hexc2445af80

52148154240 has 768 divisors, whose sum is σ = 228651033600. Its totient is φ = 10998374400.

The previous prime is 52148154217. The next prime is 52148154257. The reversal of 52148154240 is 4245184125.

52148154240 is a `hidden beast` number, since 5 + 214 + 8 + 15 + 424 + 0 = 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 = 52148154195 and 52148154204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20440965 + ... + 20443515.

It is an arithmetic number, because the mean of its divisors is an integer number (297722700).

Almost surely, 252148154240 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 52148154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114325516800).

52148154240 is an abundant number, since it is smaller than the sum of its proper divisors (176502879360).

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

52148154240 is a wasteful number, since it uses less digits than its factorization.

52148154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 52148154240 in words is "fifty-two billion, one hundred forty-eight million, one hundred fifty-four thousand, two hundred forty".