Search a number
-
+
163500612120252 = 223311341340324283
BaseRepresentation
bin100101001011001111110011…
…111001111110111010111100
3210102220111122202222222002000
4211023033303321332322330
5132412243223200322002
61335423051055502300
746303346405303541
oct4513176371767274
9712814582888060
10163500612120252
11481072470a9460
1216407620227990
137030070422614
142c53686a84bc8
1513d805d30d61c
hex94b3f3e7eebc

163500612120252 has 96 divisors (see below), whose sum is σ = 462561474735360. Its totient is φ = 49531122066240.

The previous prime is 163500612120247. The next prime is 163500612120257. The reversal of 163500612120252 is 252021216005361.

163500612120252 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 0 + 0 + 612 + 12 + 0 + 25 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (163500612120247) and next prime (163500612120257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163500612120257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16107498 + ... + 24216785.

It is an arithmetic number, because the mean of its divisors is an integer number (4818348695160).

Almost surely, 2163500612120252 is an apocalyptic number.

163500612120252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163500612120252 is an abundant number, since it is smaller than the sum of its proper divisors (299060862615108).

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

163500612120252 is a wasteful number, since it uses less digits than its factorization.

163500612120252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40327720 (or 40327712 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 163500612120252 in words is "one hundred sixty-three trillion, five hundred billion, six hundred twelve million, one hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3413 6826 10239 13652 20478 30717 37543 40956 61434 75086 92151 112629 122868 150172 184302 225258 337887 368604 450516 675774 1013661 1351548 2027322 4054644 40324283 80648566 120972849 161297132 241945698 362918547 443567113 483891396 725837094 887134226 1088755641 1330701339 1451674188 1774268452 2177511282 2661402678 3992104017 4355022564 5322805356 7984208034 11976312051 15968416068 23952624102 47905248204 137626777879 275253555758 412880333637 550507111516 825760667274 1238641000911 1513894556669 1651521334548 2477282001822 3027789113338 3715923002733 4541683670007 4954564003644 6055578226676 7431846005466 9083367340014 13625051010021 14863692010932 18166734680028 27250102020042 40875153030063 54500204040084 81750306060126 163500612120252