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10703435712 = 263793112269
BaseRepresentation
bin10011111011111100…
…10111011111000000
31000121221101212111220
421331332113133000
5133410034420322
64530031435040
7526145462634
oct117576273700
930557355456
1010703435712
1145a28a0742
1220a8685a80
131017660618
14737752dc4
15429a0d55c
hex27df977c0

10703435712 has 112 divisors (see below), whose sum is σ = 28782873600. Its totient is φ = 3509775360.

The previous prime is 10703435707. The next prime is 10703435713. The reversal of 10703435712 is 21753430701.

It is a super-2 number, since 2×107034357122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10703435713) 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, 4716114 + ... + 4718382.

Almost surely, 210703435712 is an apocalyptic number.

10703435712 is a gapful number since it is divisible by the number (12) 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 10703435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391436800).

10703435712 is an abundant number, since it is smaller than the sum of its proper divisors (18079437888).

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

10703435712 is a wasteful number, since it uses less digits than its factorization.

10703435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 10703435712 in words is "ten billion, seven hundred three million, four hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 311 316 474 622 632 933 948 1244 1264 1866 1896 2269 2488 2528 3732 3792 4538 4976 5056 6807 7464 7584 9076 9952 13614 14928 15168 18152 19904 24569 27228 29856 36304 49138 54456 59712 72608 73707 98276 108912 145216 147414 179251 196552 217824 294828 358502 393104 435648 537753 589656 705659 717004 786208 1075506 1179312 1411318 1434008 1572416 2116977 2151012 2358624 2822636 2868016 4233954 4302024 4717248 5645272 5736032 8467908 8604048 11290544 11472064 16935816 17208096 22581088 33871632 34416192 45162176 55747061 67743264 111494122 135486528 167241183 222988244 334482366 445976488 668964732 891952976 1337929464 1783905952 2675858928 3567811904 5351717856 10703435712