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629348103968 = 25173074218951
BaseRepresentation
bin10010010100010000001…
…00011111011100100000
32020011110100111012121212
421022020010133130200
540302401103311333
61201041334005252
763316555422233
oct11121004373440
92204410435555
10629348103968
112229a5663481
12a1b7b4a6828
1347468c565bc
1422663cb741a
1511586627448
hex928811f720

629348103968 has 96 divisors (see below), whose sum is σ = 1319460202368. Its totient is φ = 294465024000.

The previous prime is 629348103959. The next prime is 629348103983. The reversal of 629348103968 is 869301843926.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70305893 + ... + 70314843.

It is an arithmetic number, because the mean of its divisors is an integer number (13744377108).

Almost surely, 2629348103968 is an apocalyptic number.

629348103968 is a gapful number since it is divisible by the number (68) 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 629348103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659730101184).

629348103968 is an abundant number, since it is smaller than the sum of its proper divisors (690112098400).

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

629348103968 is a wasteful number, since it uses less digits than its factorization.

629348103968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 629348103968 in words is "six hundred twenty-nine billion, three hundred forty-eight million, one hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 307 421 544 614 842 1228 1684 2456 3368 4912 5219 6736 7157 8951 9824 10438 13472 14314 17902 20876 28628 35804 41752 57256 71608 83504 114512 129247 143216 152167 167008 229024 258494 286432 304334 516988 608668 1033976 1217336 2067952 2197199 2434672 2747957 3768371 4135904 4394398 4869344 5495914 7536742 8788796 10991828 15073484 17577592 21983656 30146968 35155184 43967312 46715269 60293936 64062307 70310368 87934624 93430538 120587872 128124614 186861076 256249228 373722152 512498456 747444304 1024996912 1156889897 1494888608 2049993824 2313779794 4627559588 9255119176 18510238352 19667128249 37020476704 39334256498 78668512996 157337025992 314674051984 629348103968