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537145382104710 = 235176171891706489
BaseRepresentation
bin111101000100001111110011…
…1101100010110111010000110
32121102212121010020022111201120
41322020133213230112322012
51030401042220304322320
65142225103145334410
7221066321210331111
oct17210374754267206
92542777106274646
10537145382104710
11146173093935225
12502b2459797406
131a094791066292
14968dd91d95578
1542175b637a440
hex1e887e7b16e86

537145382104710 has 64 divisors (see below), whose sum is σ = 1364984217777600. Its totient is φ = 134812661215232.

The previous prime is 537145382104703. The next prime is 537145382104717. The reversal of 537145382104710 is 17401283541735.

It is an interprime number because it is at equal distance from previous prime (537145382104703) and next prime (537145382104717).

It is a super-3 number, since 3×5371453821047103 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537145382104717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313913146 + ... + 315619634.

It is an arithmetic number, because the mean of its divisors is an integer number (21327878402775).

Almost surely, 2537145382104710 is an apocalyptic number.

537145382104710 is an abundant number, since it is smaller than the sum of its proper divisors (827838835672890).

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

537145382104710 is a wasteful number, since it uses less digits than its factorization.

537145382104710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323705.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 537145382104710 in words is "five hundred thirty-seven trillion, one hundred forty-five billion, three hundred eighty-two million, one hundred four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 617189 1234378 1706489 1851567 3085945 3412978 3703134 5119467 6171890 8532445 9257835 10238934 10492213 17064890 18515670 20984426 25597335 29010313 31476639 51194670 52461065 58020626 62953278 87030939 104922130 145051565 157383195 174061878 290103130 314766390 435154695 870309390 1053226239421 2106452478842 3159678718263 5266131197105 6319357436526 10532262394210 15798393591315 17904846070157 31596787182630 35809692140314 53714538210471 89524230350785 107429076420942 179048460701570 268572691052355 537145382104710