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10630346944 = 267219717207
BaseRepresentation
bin10011110011001111…
…00011100011000000
31000102211212120120111
421321213203203000
5133232332100234
64514501121104
7524300313100
oct117147434300
930384776514
1010630346944
11456560aaa8
1220880b9194
13100547cc29
1472bb69200
154233c2664
hex2799e38c0

10630346944 has 84 divisors (see below), whose sum is σ = 24664604976. Its totient is φ = 4532473344.

The previous prime is 10630346929. The next prime is 10630346983. The reversal of 10630346944 is 44964303601.

It is a super-2 number, since 2×106303469442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10630346897 and 10630346906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609189 + ... + 626395.

Almost surely, 210630346944 is an apocalyptic number.

10630346944 is a gapful number since it is divisible by the number (14) 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 10630346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332302488).

10630346944 is an abundant number, since it is smaller than the sum of its proper divisors (14034258032).

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

10630346944 is a wasteful number, since it uses less digits than its factorization.

10630346944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17430 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 10630346944 in words is "ten billion, six hundred thirty million, three hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 197 224 392 394 448 784 788 1379 1568 1576 2758 3136 3152 5516 6304 9653 11032 12608 17207 19306 22064 34414 38612 44128 68828 77224 88256 120449 137656 154448 240898 275312 308896 481796 550624 617792 843143 963592 1101248 1686286 1927184 3372572 3389779 3854368 6745144 6779558 7708736 13490288 13559116 23728453 26980576 27118232 47456906 53961152 54236464 94913812 108472928 166099171 189827624 216945856 332198342 379655248 664396684 759310496 1328793368 1518620992 2657586736 5315173472 10630346944