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1541045055252 = 22323107233322367
BaseRepresentation
bin10110011011001101011…
…100010110111100010100
312110022201002010222112010
4112123031130112330110
5200222030013232002
63135540223424220
7216223350561453
oct26331534267424
95408632128463
101541045055252
1154460a83895a
1220a7b8a55070
13b2420b4c851
1454830952b9a
152a1459b246c
hex166cd716f14

1541045055252 has 96 divisors (see below), whose sum is σ = 3788968845312. Its totient is φ = 486525271936.

The previous prime is 1541045055247. The next prime is 1541045055259. The reversal of 1541045055252 is 2525505401451.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1541045055252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541045055259) 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, 68886973 + ... + 68909339.

It is an arithmetic number, because the mean of its divisors is an integer number (39468425472).

Almost surely, 21541045055252 is an apocalyptic number.

1541045055252 is a gapful number since it is divisible by the number (12) 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 1541045055252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894484422656).

1541045055252 is an abundant number, since it is smaller than the sum of its proper divisors (2247923790060).

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

1541045055252 is a wasteful number, since it uses less digits than its factorization.

1541045055252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24837 (or 24835 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

The spelling of 1541045055252 in words is "one trillion, five hundred forty-one billion, forty-five million, fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2333 2461 4666 4922 6999 7383 9332 9844 13998 14766 22367 27996 29532 44734 53659 67101 89468 107318 134202 160977 214636 249631 268404 321954 499262 514441 643908 748893 998524 1028882 1497786 1543323 2057764 2393269 2995572 3086646 4786538 5741513 6173292 7179807 9573076 11483026 14359614 17224539 22966052 28719228 34449078 52182211 55045187 68898156 104364422 110090374 156546633 165135561 208728844 220180748 313093266 330271122 626186532 660542244 1200190853 2400381706 3600572559 4800763412 5583496577 7201145118 11166993154 14402290236 16750489731 22333986308 33500979462 67001958924 128420421271 256840842542 385261263813 513681685084 770522527626 1541045055252