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1413549266352 = 243197972726987
BaseRepresentation
bin10100100100011110000…
…110100001010110110000
312000010121200022211201120
4110210132012201112300
5141124422103010402
63001213042302240
7204061032342216
oct24443606412660
95003550284646
101413549266352
114a5534789683
121a9b56957980
13a33b2a20142
144c5b7cb2cb6
1526b8290c3bc
hex1491e1a15b0

1413549266352 has 160 divisors (see below), whose sum is σ = 3898017177600. Its totient is φ = 440111003904.

The previous prime is 1413549266351. The next prime is 1413549266357. The reversal of 1413549266352 is 2536629453141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1413549266295 and 1413549266304.

It is not an unprimeable number, because it can be changed into a prime (1413549266351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52365403 + ... + 52392389.

It is an arithmetic number, because the mean of its divisors is an integer number (24362607360).

Almost surely, 21413549266352 is an apocalyptic number.

1413549266352 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 1413549266352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949008588800).

1413549266352 is an abundant number, since it is smaller than the sum of its proper divisors (2484467911248).

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

1413549266352 is a wasteful number, since it uses less digits than its factorization.

1413549266352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27823 (or 27817 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 1413549266352 in words is "one trillion, four hundred thirteen billion, five hundred forty-nine million, two hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 727 912 948 1264 1454 1501 1896 2181 2908 3002 3792 4362 4503 5816 6004 8724 9006 11632 12008 13813 17448 18012 24016 26987 27626 34896 36024 41439 53974 55252 57433 72048 80961 82878 107948 110504 114866 161922 165756 172299 215896 221008 229732 323844 331512 344598 431792 459464 512753 647688 663024 689196 918928 1025506 1091227 1295376 1378392 1538259 2051012 2131973 2182454 2756784 3076518 3273681 4102024 4263946 4364908 6153036 6395919 6547362 8204048 8527892 8729816 12306072 12791838 13094724 17055784 17459632 19619549 24612144 25583676 26189448 34111568 39239098 40507487 51167352 52378896 58858647 78478196 81014974 102334704 117717294 121522461 156956392 162029948 235434588 243044922 313912784 324059896 372771431 470869176 486089844 648119792 745542862 941738352 972179688 1118314293 1491085724 1549944371 1944359376 2236628586 2982171448 3099888742 4473257172 4649833113 5964342896 6199777484 8946514344 9299666226 12399554968 17893028688 18599332452 24799109936 29448943049 37198664904 58897886098 74397329808 88346829147 117795772196 176693658294 235591544392 353387316588 471183088784 706774633176 1413549266352