Search a number
-
+
152452544545014 = 23731717599247601
BaseRepresentation
bin100010101010011110011111…
…110000110100000011110110
3201222210022122221201110120020
4202222132133300310003312
5124440240302400420024
61300123422045150010
744053222113342000
oct4252363760640366
9658708587643506
10152452544545014
1144637840a6985a
12151223a885b306
13670b2a0705c6c
142990a576c7370
151295991c74979
hex8aa79fc340f6

152452544545014 has 128 divisors (see below), whose sum is σ = 376513505280000. Its totient is φ = 40993147238400.

The previous prime is 152452544544983. The next prime is 152452544545199. The reversal of 152452544545014 is 410545445254251.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615594814 + ... + 615842414.

It is an arithmetic number, because the mean of its divisors is an integer number (2941511760000).

Almost surely, 2152452544545014 is an apocalyptic number.

152452544545014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152452544545014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188256752640000).

152452544545014 is an abundant number, since it is smaller than the sum of its proper divisors (224060960734986).

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

152452544545014 is a wasteful number, since it uses less digits than its factorization.

152452544545014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265243 (or 265229 counting only the distinct ones).

The product of its (nonzero) digits is 12800000, while the sum is 51.

Adding to 152452544545014 its reverse (410545445254251), we get a palindrome (562997989799265).

The spelling of 152452544545014 in words is "one hundred fifty-two trillion, four hundred fifty-two billion, five hundred forty-four million, five hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1666 2058 2499 4998 5831 11662 17493 17599 34986 35198 52797 105594 123193 246386 247601 299183 369579 495202 598366 739158 742803 862351 897549 1485606 1724702 1733207 1795098 2094281 2587053 3466414 4188562 4209217 5174106 5199621 6036457 6282843 8418434 10399242 12072914 12132449 12565686 12627651 14659967 18109371 24264898 25255302 29319934 29464519 36218742 36397347 43979901 58929038 72794694 84927143 87959802 88393557 102619769 169854286 176787114 205239538 206251633 254781429 307859307 412503266 509562858 615718614 618754899 1237509798 1443761431 2887522862 4331284293 4357529999 8662568586 8715059998 13072589997 26145179994 30502709993 61005419986 74078009983 91508129979 148156019966 183016259958 213518969951 222234029949 427037939902 444468059898 518546069881 640556909853 1037092139762 1281113819706 1494632789657 1555638209643 2989265579314 3111276419286 3629822489167 4483898368971 7259644978334 8967796737942 10889467467501 21778934935002 25408757424169 50817514848338 76226272272507 152452544545014