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10018414336 = 28723317841
BaseRepresentation
bin10010101010010010…
…01101111100000000
3221212012102011211211
421111021031330000
5131004203224321
64334041215504
7503160055030
oct112511157400
927765364754
1010018414336
114281151a77
121b37191594
13c38766c28
146b07978c0
153d97e90e1
hex25524df00

10018414336 has 144 divisors (see below), whose sum is σ = 24620617728. Its totient is φ = 3973939200.

The previous prime is 10018414331. The next prime is 10018414337. The reversal of 10018414336 is 63341481001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 10018414298 and 10018414307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018414331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273776 + ... + 1281616.

It is an arithmetic number, because the mean of its divisors is an integer number (170976512).

Almost surely, 210018414336 is an apocalyptic number.

10018414336 is a gapful number since it is divisible by the number (16) 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 10018414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310308864).

10018414336 is an abundant number, since it is smaller than the sum of its proper divisors (14602203392).

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

10018414336 is an equidigital number, since it uses as much as digits as its factorization.

10018414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 10018414336 its reverse (63341481001), we get a palindrome (73359895337).

The spelling of 10018414336 in words is "ten billion, eighteen million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 256 322 368 434 448 496 644 713 736 868 896 992 1288 1426 1472 1736 1792 1984 2576 2852 2944 3472 3968 4991 5152 5704 5888 6944 7841 7936 9982 10304 11408 13888 15682 19964 20608 22816 27776 31364 39928 41216 45632 54887 55552 62728 79856 91264 109774 125456 159712 180343 182528 219548 243071 250912 319424 360686 439096 486142 501824 638848 721372 878192 972284 1003648 1262401 1277696 1442744 1701497 1756384 1944568 2007296 2524802 2885488 3402994 3512768 3889136 5049604 5590633 5770976 6805988 7025536 7778272 10099208 11181266 11541952 13611976 14051072 15556544 20198416 22362532 23083904 27223952 31113088 39134431 40396832 44725064 46167808 54447904 62226176 78268862 80793664 89450128 108895808 156537724 161587328 178900256 217791616 313075448 323174656 357800512 435583232 626150896 715601024 1252301792 1431202048 2504603584 5009207168 10018414336