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152853041968572 = 223112178374607151
BaseRepresentation
bin100010110000010011011111…
…010001001111010110111100
3202001012121102022021120101210
4202300103133101033112330
5130013321012220443242
61301031415035004420
744124160605306321
oct4260233721172674
9661177368246353
10152853041968572
114478167a358900
1215187b3a599710
136739c9810676a
1429a61ab970b48
1512a10d2177d9c
hex8b04df44f5bc

152853041968572 has 144 divisors (see below), whose sum is σ = 420089595480576. Its totient is φ = 43069215552000.

The previous prime is 152853041968541. The next prime is 152853041968597. The reversal of 152853041968572 is 275869140358251.

It is a happy number.

152853041968572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35254804 + ... + 39352347.

It is an arithmetic number, because the mean of its divisors is an integer number (2917288857504).

It is a 1-persistent number, because it is pandigital, but 2⋅152853041968572 = 305706083937144 is not.

Almost surely, 2152853041968572 is an apocalyptic number.

152853041968572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152853041968572 is an abundant number, since it is smaller than the sum of its proper divisors (267236553512004).

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

152853041968572 is a wasteful number, since it uses less digits than its factorization.

152853041968572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74607280 (or 74607267 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 66.

The spelling of 152853041968572 in words is "one hundred fifty-two trillion, eight hundred fifty-three billion, forty-one million, nine hundred sixty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 121 132 166 187 204 242 249 332 363 374 484 498 561 726 748 913 996 1122 1411 1452 1826 2057 2244 2739 2822 3652 4114 4233 5478 5644 6171 8228 8466 10043 10956 12342 15521 16932 20086 24684 30129 31042 40172 46563 60258 62084 93126 120516 170731 186252 341462 512193 682924 1024386 2048772 74607151 149214302 223821453 298428604 447642906 820678661 895285812 1268321567 1641357322 2462035983 2536643134 3282714644 3804964701 4924071966 5073286268 6192393533 7609929402 9027465271 9848143932 12384787066 13951537237 15219858804 18054930542 18577180599 24769574132 27082395813 27903074474 36109861084 37154361198 41854611711 54164791626 55806148948 68116328863 74308722396 83709223422 105270690061 108329583252 136232657726 153466909607 167418446844 204348986589 210541380122 272465315452 306933819214 315812070183 408697973178 421082760244 460400728821 613867638428 631624140366 749279617493 817395946356 920801457642 1157977590671 1263248280732 1498559234986 1841602915284 2247838852479 2315955181342 2997118469972 3473932772013 4495677704958 4631910362684 6947865544026 8991355409916 12737753497381 13895731088052 25475506994762 38213260492143 50951013989524 76426520984286 152853041968572