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1629345912 = 2331937269359
BaseRepresentation
bin110000100011101…
…1101100001111000
311012112220100101220
41201013131201320
511314103032122
6425402312040
755243132425
oct14107354170
94175810356
101629345912
117667a5777
123957b8620
131cc73c10c
14116572d4c
159809925c
hex611dd878

1629345912 has 128 divisors (see below), whose sum is σ = 4432320000. Its totient is φ = 497373696.

The previous prime is 1629345853. The next prime is 1629345919. The reversal of 1629345912 is 2195439261.

It is a super-2 number, since 2×16293459122 = 5309536201902223488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629345919) 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, 4538389 + ... + 4538747.

It is an arithmetic number, because the mean of its divisors is an integer number (34627500).

Almost surely, 21629345912 is an apocalyptic number.

1629345912 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 1629345912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216160000).

1629345912 is an abundant number, since it is smaller than the sum of its proper divisors (2802974088).

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

1629345912 is a wasteful number, since it uses less digits than its factorization.

1629345912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 1629345912 is about 40365.1571531686. The cubic root of 1629345912 is about 1176.7144820651.

The spelling of 1629345912 in words is "one billion, six hundred twenty-nine million, three hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 269 296 359 444 456 538 703 718 807 888 1076 1077 1406 1436 1614 2109 2152 2154 2812 2872 3228 4218 4308 5111 5624 6456 6821 8436 8616 9953 10222 13283 13642 15333 16872 19906 20444 20463 26566 27284 29859 30666 39812 39849 40888 40926 53132 54568 59718 61332 79624 79698 81852 96571 106264 119436 122664 159396 163704 189107 193142 238872 252377 289713 318792 378214 386284 504754 567321 579426 756428 757131 772568 1009508 1134642 1158852 1512856 1514262 1834849 2019016 2269284 2317704 3028524 3573127 3669698 4538568 5504547 6057048 7146254 7339396 10719381 11009094 14292508 14678792 21438762 22018188 28585016 42877524 44036376 67889413 85755048 135778826 203668239 271557652 407336478 543115304 814672956 1629345912