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10246612224 = 28329491937
BaseRepresentation
bin10011000101011111…
…01110010100000000
3222110002210211111110
421202233232110000
5131441113042344
64412432243320
7511630524012
oct114257562400
928402724443
1010246612224
114388a44472
121b9b6a0540
13c73b14b74
146d2bda1b2
153ee8733b9
hex262bee500

10246612224 has 144 divisors (see below), whose sum is σ = 28298934720. Its totient is φ = 3287531520.

The previous prime is 10246612213. The next prime is 10246612231. The reversal of 10246612224 is 42221664201.

It is a junction number, because it is equal to n+sod(n) for n = 10246612191 and 10246612200.

It is a congruent number.

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, 10935084 + ... + 10936020.

It is an arithmetic number, because the mean of its divisors is an integer number (196520380).

Almost surely, 210246612224 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 10246612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149467360).

10246612224 is an abundant number, since it is smaller than the sum of its proper divisors (18052322496).

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

10246612224 is an equidigital number, since it uses as much as digits as its factorization.

10246612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10246612224 in words is "ten billion, two hundred forty-six million, six hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 491 696 768 928 937 982 1392 1473 1856 1874 1964 2784 2811 2946 3712 3748 3928 5568 5622 5892 7424 7496 7856 11136 11244 11784 14239 14992 15712 22272 22488 23568 27173 28478 29984 31424 42717 44976 47136 54346 56956 59968 62848 81519 85434 89952 94272 108692 113912 119936 125696 163038 170868 179904 188544 217384 227824 239872 326076 341736 359808 377088 434768 455648 460067 652152 683472 719616 869536 911296 920134 1304304 1366944 1380201 1739072 1822592 1840268 2608608 2733888 2760402 3478144 3645184 3680536 5217216 5467776 5520804 6956288 7361072 10434432 10935552 11041608 13341943 14722144 20868864 22083216 26683886 29444288 40025829 44166432 53367772 58888576 80051658 88332864 106735544 117777152 160103316 176665728 213471088 320206632 353331456 426942176 640413264 853884352 1280826528 1707768704 2561653056 3415537408 5123306112 10246612224