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56358080135 = 5731377319231
BaseRepresentation
bin110100011111001101…
…000000111010000111
312101110200200002220022
4310133031000322013
51410410132031020
641520205125355
74033414530350
oct643715007207
9171420602808
1056358080135
11219a0737835
12ab0a25985b
135412090716
142a28d10d27
1516ecb60625
hexd1f340e87

56358080135 has 64 divisors (see below), whose sum is σ = 83067469824. Its totient is φ = 35887795200.

The previous prime is 56358080131. The next prime is 56358080137. The reversal of 56358080135 is 53108085365.

56358080135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56358080135 - 22 = 56358080131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56358080131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2920970 + ... + 2940200.

It is an arithmetic number, because the mean of its divisors is an integer number (1297929216).

Almost surely, 256358080135 is an apocalyptic number.

56358080135 is a deficient number, since it is larger than the sum of its proper divisors (26709389689).

56358080135 is a wasteful number, since it uses less digits than its factorization.

56358080135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19384.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 56358080135 in words is "fifty-six billion, three hundred fifty-eight million, eighty thousand, one hundred thirty-five".

Divisors: 1 5 7 31 35 37 73 155 185 217 259 365 511 1085 1147 1295 2263 2555 2701 5735 8029 11315 13505 15841 18907 19231 40145 79205 83731 94535 96155 134617 418655 586117 596161 673085 711547 1403863 2930585 2980805 3557735 4173127 4980829 7019315 9827041 20865635 22057957 24904145 43519753 49135205 51942931 110289785 154405699 217598765 259714655 304638271 363600517 772028495 1523191355 1610230861 1818002585 8051154305 11271616027 56358080135