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506153926657 = 113102114233083
BaseRepresentation
bin1110101110110010010…
…00000000000000000001
31210101110201220120121001
413113121020000000001
531243100401123112
61024305055132001
751365652250441
oct7273110000001
91711421816531
10506153926657
111857277726a5
1282119b14001
133896508bab2
141a6d8660121
15d276023c57
hex75d9200001

506153926657 has 16 divisors (see below), whose sum is σ = 511658396928. Its totient is φ = 500668680960.

The previous prime is 506153926601. The next prime is 506153926697. The reversal of 506153926657 is 756629351605.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506153926657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506153926598 and 506153926607.

It is not an unprimeable number, because it can be changed into a prime (506153926697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164174238 + ... + 164177320.

It is an arithmetic number, because the mean of its divisors is an integer number (31978649808).

It is a Proth number, since it is equal to 241353 ⋅ 221 + 1 and 241353 < 221.

Almost surely, 2506153926657 is an apocalyptic number.

It is an amenable number.

506153926657 is a deficient number, since it is larger than the sum of its proper divisors (5504470271).

506153926657 is a wasteful number, since it uses less digits than its factorization.

506153926657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640.

The product of its (nonzero) digits is 10206000, while the sum is 55.

The spelling of 506153926657 in words is "five hundred six billion, one hundred fifty-three million, nine hundred twenty-six thousand, six hundred fifty-seven".

Divisors: 1 113 1021 1423 3083 115373 160799 348379 1452883 3147743 4387109 164175779 355694959 495743317 4479238289 506153926657