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53032674240 = 26335713371823
BaseRepresentation
bin110001011000111111…
…100110001111000000
312001212221022222121000
4301120333212033000
51332102331033430
640210214132000
73555125202420
oct613077461700
9161787288530
1053032674240
11205446200a7
12a340651000
135002154520
1427d1400480
1515a5c3ee60
hexc58fe63c0

53032674240 has 896 divisors, whose sum is σ = 236614533120. Its totient is φ = 10880925696.

The previous prime is 53032674229. The next prime is 53032674251. The reversal of 53032674240 is 4247623035.

53032674240 is a `hidden beast` number, since 530 + 32 + 6 + 74 + 24 + 0 = 666.

53032674240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53032674229) and next prime (53032674251).

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 = 53032674195 and 53032674204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29089969 + ... + 29091791.

It is an arithmetic number, because the mean of its divisors is an integer number (264078720).

Almost surely, 253032674240 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 53032674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118307266560).

53032674240 is an abundant number, since it is smaller than the sum of its proper divisors (183581858880).

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

53032674240 is a wasteful number, since it uses less digits than its factorization.

53032674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 53032674240 in words is "fifty-three billion, thirty-two million, six hundred seventy-four thousand, two hundred forty".