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68007855872 = 281141738069
BaseRepresentation
bin111111010101100101…
…011000011100000000
320111112120210000212202
4333111211120130000
52103240002341442
651124204212332
74625204144165
oct772545303400
9214476700782
1068007855872
1126929730770
121121b83a0a8
13654a7c0c48
14341220406c
151b807a0c32
hexfd5958700

68007855872 has 144 divisors (see below), whose sum is σ = 153800125920. Its totient is φ = 29741875200.

The previous prime is 68007855871. The next prime is 68007855901. The reversal of 68007855872 is 27855870086.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68007855871) 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 15 ways as a sum of consecutive naturals, for example, 8424254 + ... + 8432322.

It is an arithmetic number, because the mean of its divisors is an integer number (1068056430).

Almost surely, 268007855872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68007855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76900062960).

68007855872 is an abundant number, since it is smaller than the sum of its proper divisors (85792270048).

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

68007855872 is a wasteful number, since it uses less digits than its factorization.

68007855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 68007855872 in words is "sixty-eight billion, seven million, eight hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 73 82 88 128 146 164 176 256 292 328 352 451 584 656 704 803 902 1168 1312 1408 1606 1804 2336 2624 2816 2993 3212 3608 4672 5248 5986 6424 7216 8069 9344 10496 11972 12848 14432 16138 18688 23944 25696 28864 32276 32923 47888 51392 57728 64552 65846 88759 95776 102784 115456 129104 131692 177518 191552 205568 258208 263384 330829 355036 383104 516416 526768 589037 661658 710072 766208 1032832 1053536 1178074 1323316 1420144 2065664 2107072 2356148 2646632 2840288 3639119 4214144 4712296 5293264 5680576 6479407 7278238 8428288 9424592 10586528 11361152 12958814 14556476 18849184 21173056 22722304 24150517 25917628 29112952 37698368 42346112 48301034 51835256 58225904 75396736 84692224 96602068 103670512 116451808 150793472 193204136 207341024 232903616 265655687 386408272 414682048 465807232 531311374 772816544 829364096 931614464 1062622748 1545633088 1658728192 2125245496 3091266176 4250490992 6182532352 8500981984 17001963968 34003927936 68007855872