Search a number
-
+
164303106000 = 24353112489441
BaseRepresentation
bin1001100100000100111…
…0100110111111010000
3120201002120021120201020
42121001032212333100
510142443043343000
6203251345435440
714604404233515
oct2310116467720
9521076246636
10164303106000
1163753902410
1227a1493bb80
1312655905aa7
147d4920930c
154419636ba0
hex26413a6fd0

164303106000 has 160 divisors (see below), whose sum is σ = 577869192576. Its totient is φ = 39831040000.

The previous prime is 164303105999. The next prime is 164303106007. The reversal of 164303106000 is 601303461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164303106007) 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, 1178721 + ... + 1310720.

Almost surely, 2164303106000 is an apocalyptic number.

164303106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164303106000 is an abundant number, since it is smaller than the sum of its proper divisors (413566086576).

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

164303106000 is a wasteful number, since it uses less digits than its factorization.

164303106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489478 (or 2489462 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 164303106000 its reverse (601303461), we get a palindrome (164904409461).

The spelling of 164303106000 in words is "one hundred sixty-four billion, three hundred three million, one hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 2489441 4978882 7468323 9957764 12447205 14936646 19915528 24894410 27383851 29873292 37341615 39831056 49788820 54767702 59746584 62236025 74683230 82151553 99577640 109535404 119493168 124472050 136919255 149366460 164303106 186708075 199155280 219070808 248944100 273838510 298732920 311180125 328606212 373416150 410757765 438141616 497888200 547677020 597465840 622360250 657212424 684596275 746832300 821515530 933540375 995776400 1095354040 1244720500 1314424848 1369192550 1493664600 1643031060 1867080750 2053788825 2190708080 2489441000 2738385100 2987329200 3286062120 3422981375 3734161500 4107577650 4978882000 5476770200 6572124240 6845962750 7468323000 8215155300 10268944125 10953540400 13691925500 14936646000 16430310600 20537888250 27383851000 32860621200 41075776500 54767702000 82151553000 164303106000