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152452225532016 = 243628514584469
BaseRepresentation
bin100010101010011110001100…
…101111111000000001110000
3201222210021211201102221000000
4202222132030233320001300
5124440234124214011031
61300123330251430000
744053211160643644
oct4252361457700160
9658707751387000
10152452225532016
1144637697989653
1215122319a55300
13670b24c5ac087
142990a271a4c24
151295973c5c3e6
hex8aa78cbf8070

152452225532016 has 140 divisors (see below), whose sum is σ = 443017122672520. Its totient is φ = 50799573014400.

The previous prime is 152452225531937. The next prime is 152452225532017. The reversal of 152452225532016 is 610235522254251.

152452225532016 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 52 + 22 + 553 + 20 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152452225532017) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30961830 + ... + 35546298.

Almost surely, 2152452225532016 is an apocalyptic number.

152452225532016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152452225532016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221508561336260).

152452225532016 is an abundant number, since it is smaller than the sum of its proper divisors (290564897140504).

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

152452225532016 is an equidigital number, since it uses as much as digits as its factorization.

152452225532016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587346 (or 4587325 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 152452225532016 its reverse (610235522254251), we get a palindrome (762687747786267).

The spelling of 152452225532016 in words is "one hundred fifty-two trillion, four hundred fifty-two billion, two hundred twenty-five million, five hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2851 2916 3888 5702 5832 8553 11404 11664 17106 22808 25659 34212 45616 51318 68424 76977 102636 136848 153954 205272 230931 307908 410544 461862 615816 692793 923724 1231632 1385586 1847448 2078379 2771172 3694896 4156758 4584469 5542344 8313516 9168938 11084688 13753407 16627032 18337876 27506814 33254064 36675752 41260221 55013628 73351504 82520442 110027256 123780663 165040884 220054512 247561326 330081768 371341989 495122652 660163536 742683978 990245304 1114025967 1485367956 1980490608 2228051934 2970735912 3342077901 4456103868 5941471824 6684155802 8912207736 13070321119 13368311604 17824415472 26140642238 26736623208 39210963357 52281284476 53473246416 78421926714 104562568952 117632890071 156843853428 209125137904 235265780142 313687706856 352898670213 470531560284 627375413712 705797340426 941063120568 1058696010639 1411594680852 1882126241136 2117392021278 2823189361704 3176088031917 4234784042556 5646378723408 6352176063834 8469568085112 9528264095751 12704352127668 16939136170224 19056528191502 25408704255336 38113056383004 50817408510672 76226112766008 152452225532016