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428712987720 = 233579190123789
BaseRepresentation
bin1100011110100010100…
…10010000110001001000
31111222120202010021102110
412033101102100301020
524011001011101340
6524540435102320
742654623161323
oct6172122206110
91458522107373
10428712987720
111558a833a016
126b1071419a0
1331573194bc4
1416a6d70b7ba
15b24254a680
hex63d1490c48

428712987720 has 128 divisors (see below), whose sum is σ = 1303159104000. Its totient is φ = 112812211200.

The previous prime is 428712987719. The next prime is 428712987739. The reversal of 428712987720 is 27789217824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18009586 + ... + 18033374.

It is an arithmetic number, because the mean of its divisors is an integer number (10180930500).

Almost surely, 2428712987720 is an apocalyptic number.

428712987720 is a gapful number since it is divisible by the number (40) 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 428712987720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651579552000).

428712987720 is an abundant number, since it is smaller than the sum of its proper divisors (874446116280).

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

428712987720 is a wasteful number, since it uses less digits than its factorization.

428712987720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25779 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 428712987720 in words is "four hundred twenty-eight billion, seven hundred twelve million, nine hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 1901 2370 3160 3802 4740 5703 7604 9480 9505 11406 15208 19010 22812 23789 28515 38020 45624 47578 57030 71367 76040 95156 114060 118945 142734 150179 190312 228120 237890 285468 300358 356835 450537 475780 570936 600716 713670 750895 901074 951560 1201432 1427340 1501790 1802148 1879331 2252685 2854680 3003580 3604296 3758662 4505370 5637993 6007160 7517324 9010740 9396655 11275986 15034648 18021480 18793310 22551972 28189965 37586620 45103944 45222889 56379930 75173240 90445778 112759860 135668667 180891556 225519720 226114445 271337334 361783112 452228890 542674668 678343335 904457780 1085349336 1356686670 1808915560 2713373340 3572608231 5426746680 7145216462 10717824693 14290432924 17863041155 21435649386 28580865848 35726082310 42871298772 53589123465 71452164620 85742597544 107178246930 142904329240 214356493860 428712987720