Search a number
-
+
153312450200445 = 35436189241181669
BaseRepresentation
bin100010110110111111010110…
…001000100100001101111101
3202002211112020020220210212210
4202312333112020210031331
5130043332344222403240
61302022433423451033
744202313302662454
oct4266772610441575
9662745206823783
10153312450200445
1144939499322098
1215240b91456a79
1367713c06c9213
1429c050db83b9b
1512ad01e380780
hex8b6fd622437d

153312450200445 has 128 divisors (see below), whose sum is σ = 259057815667200. Its totient is φ = 77350455705600.

The previous prime is 153312450200419. The next prime is 153312450200447. The reversal of 153312450200445 is 544002054213351.

It is not a de Polignac number, because 153312450200445 - 27 = 153312450200317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153312450200447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 843820071 + ... + 844001739.

It is an arithmetic number, because the mean of its divisors is an integer number (2023889184900).

Almost surely, 2153312450200445 is an apocalyptic number.

153312450200445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153312450200445 is a deficient number, since it is larger than the sum of its proper divisors (105745365466755).

153312450200445 is a wasteful number, since it uses less digits than its factorization.

153312450200445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182111.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 153312450200445 in words is "one hundred fifty-three trillion, three hundred twelve billion, four hundred fifty million, two hundred thousand, four hundred forty-five".

Divisors: 1 3 5 15 43 61 89 129 183 215 241 267 305 445 645 723 915 1205 1335 2623 3615 3827 5429 7869 10363 11481 13115 14701 16287 19135 21449 27145 31089 39345 44103 51815 57405 64347 73505 81435 107245 155445 181669 220515 233447 321735 545007 632143 700341 908345 922307 1167235 1308389 1896429 2725035 2766921 3160715 3501705 3925167 4611535 6541945 7811767 9482145 11081809 13834605 16168541 19625835 23435301 33245427 39058835 43782229 48505623 55409045 56260727 80842705 117176505 131346687 166227135 168782181 218911145 242528115 281303635 476517787 656733435 695247263 843910905 986281001 1429553361 1882635847 2085741789 2382588935 2670715969 2958843003 3476236315 3896618381 4931405005 5647907541 7147766805 8012147907 9413179235 10428708945 11689855143 13353579845 14794215015 19483091905 28239537705 40060739535 42410083043 58449275715 114840786667 127230249129 167554590383 212050415215 237693721241 344522360001 502663771149 574203933335 636151245645 713081163723 837772951915 1188468606205 1722611800005 2513318855745 3565405818615 10220830013363 30662490040089 51104150066815 153312450200445