Search a number
-
+
55321038756018 = 2337178608938493
BaseRepresentation
bin11001001010000011011101…
…10111010001100010110010
321020212122021022022221221000
430211001232313101202302
524222334441410143033
6313354045004342430
714436545624531010
oct1445015667214262
9236778238287830
1055321038756018
1116699580185712
126255707b44a16
1324b39a027a1a9
14d937a43338b0
1565e061a95a13
hex32506edd18b2

55321038756018 has 64 divisors (see below), whose sum is σ = 148762457176320. Its totient is φ = 14876245714176.

The previous prime is 55321038756017. The next prime is 55321038756019. The reversal of 55321038756018 is 81065783012355.

55321038756018 is a `hidden beast` number, since 5 + 5 + 3 + 21 + 0 + 3 + 8 + 7 + 5 + 601 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55321038756017) and next prime (55321038756019).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55321038756017) 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, 4304462821 + ... + 4304475672.

It is an arithmetic number, because the mean of its divisors is an integer number (2324413393380).

Almost surely, 255321038756018 is an apocalyptic number.

55321038756018 is an abundant number, since it is smaller than the sum of its proper divisors (93441418420302).

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

55321038756018 is a wasteful number, since it uses less digits than its factorization.

55321038756018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608938528 (or 8608938522 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 55321038756018 in words is "fifty-five trillion, three hundred twenty-one billion, thirty-eight million, seven hundred fifty-six thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 8608938493 17217876986 25826815479 51653630958 60262569451 77480446437 120525138902 146351954381 154960892874 180787708353 232441339311 292703908762 361575416706 439055863143 464882678622 542363125059 878111726286 1024463680667 1084726250118 1317167589429 1627089375177 2048927361334 2634335178858 3073391042001 3254178750354 3951502768287 6146782084002 7903005536574 9220173126003 18440346252006 27660519378009 55321038756018