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53137920105 = 3453113930449
BaseRepresentation
bin110001011111010001…
…000101000001101001
312002011021101000210000
4301133101011001221
51332311301420410
640224454013213
73560543603604
oct613721050151
9162137330700
1053137920105
1120598a74956
12a36b947209
13501abb399a
14280139933b
1515b00cddc0
hexc5f445069

53137920105 has 80 divisors (see below), whose sum is σ = 99038016000. Its totient is φ = 27227819520.

The previous prime is 53137920029. The next prime is 53137920107. The reversal of 53137920105 is 50102973135.

53137920105 is a `hidden beast` number, since 531 + 37 + 92 + 0 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 53137920105 - 212 = 53137916009 is a prime.

It is a super-2 number, since 2×531379201052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53137920105.

It is not an unprimeable number, because it can be changed into a prime (53137920107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1729921 + ... + 1760369.

It is an arithmetic number, because the mean of its divisors is an integer number (1237975200).

Almost surely, 253137920105 is an apocalyptic number.

It is an amenable number.

53137920105 is a deficient number, since it is larger than the sum of its proper divisors (45900095895).

53137920105 is a wasteful number, since it uses less digits than its factorization.

53137920105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30636 (or 30627 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 53137920105 in words is "fifty-three billion, one hundred thirty-seven million, nine hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 139 155 279 405 417 465 695 837 1251 1395 2085 2511 3753 4185 4309 6255 11259 12555 12927 18765 21545 30449 38781 56295 64635 91347 116343 152245 193905 274041 349029 456735 581715 822123 943919 1370205 1745145 2466369 2831757 4110615 4232411 4719595 8495271 12331845 12697233 14158785 21162055 25485813 38091699 42476355 63486165 76457439 114275097 127429065 131204741 190458495 342825291 382287195 393614223 571375485 656023705 1180842669 1714126455 1968071115 3542528007 5904213345 10627584021 17712640035 53137920105