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30823317480 = 23353173892083
BaseRepresentation
bin11100101101001101…
…100111111111101000
32221120010111202122010
4130231031213333220
51001111232124410
622054322355520
72140554606234
oct345515477750
987503452563
1030823317480
1112087a606aa
125b827bbba0
132ba2b203c7
1416c59235c4
15c06059c20
hex72d367fe8

30823317480 has 128 divisors (see below), whose sum is σ = 93044764800. Its totient is φ = 8168635392.

The previous prime is 30823317479. The next prime is 30823317517. The reversal of 30823317480 is 8471332803.

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, 14796519 + ... + 14798601.

It is an arithmetic number, because the mean of its divisors is an integer number (726912225).

Almost surely, 230823317480 is an apocalyptic number.

30823317480 is a gapful number since it is divisible by the number (30) 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 30823317480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522382400).

30823317480 is an abundant number, since it is smaller than the sum of its proper divisors (62221447320).

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

30823317480 is a wasteful number, since it uses less digits than its factorization.

30823317480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 30823317480 in words is "thirty billion, eight hundred twenty-three million, three hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 389 634 778 951 1167 1268 1556 1585 1902 1945 2083 2334 2536 3112 3170 3804 3890 4166 4668 4755 5835 6249 6340 7608 7780 8332 9336 9510 10415 11670 12498 12680 15560 16664 19020 20830 23340 24996 31245 38040 41660 46680 49992 62490 83320 123313 124980 246626 249960 369939 493252 616565 660311 739878 810287 986504 1233130 1320622 1479756 1620574 1849695 1980933 2430861 2466260 2641244 2959512 3241148 3301555 3699390 3961866 4051435 4861722 4932520 5282488 6482296 6603110 7398780 7923732 8102870 9723444 9904665 12154305 13206220 14797560 15847464 16205740 19446888 19809330 24308610 26412440 32411480 39618660 48617220 79237320 97234440 256860979 513721958 770582937 1027443916 1284304895 1541165874 2054887832 2568609790 3082331748 3852914685 5137219580 6164663496 7705829370 10274439160 15411658740 30823317480