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10997674752 = 28397714657
BaseRepresentation
bin10100011111000001…
…10011001100000000
31001101110001202121010
422033200303030000
5140010401043002
65015142200520
7536350456461
oct121740631400
931343052533
1010997674752
11473399a8a9
12216b123140
1310635c216c
14764866d68
1544578046c
hex28f833300

10997674752 has 72 divisors (see below), whose sum is σ = 29301811056. Its totient is φ = 3661889536.

The previous prime is 10997674747. The next prime is 10997674757. The reversal of 10997674752 is 25747679901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10997674747) and next prime (10997674757).

It is a junction number, because it is equal to n+sod(n) for n = 10997674692 and 10997674701.

It is not an unprimeable number, because it can be changed into a prime (10997674757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743008 + ... + 757664.

It is an arithmetic number, because the mean of its divisors is an integer number (406969598).

Almost surely, 210997674752 is an apocalyptic number.

10997674752 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 10997674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650905528).

10997674752 is an abundant number, since it is smaller than the sum of its proper divisors (18304136304).

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

10997674752 is an equidigital number, since it uses as much as digits as its factorization.

10997674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 10997674752 in words is "ten billion, nine hundred ninety-seven million, six hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 977 1954 2931 3908 5862 7816 11724 14657 15632 23448 29314 31264 43971 46896 58628 62528 87942 93792 117256 125056 175884 187584 234512 250112 351768 375168 469024 703536 750336 938048 1407072 1876096 2814144 3752192 5628288 11256576 14319889 28639778 42959667 57279556 85919334 114559112 171838668 229118224 343677336 458236448 687354672 916472896 1374709344 1832945792 2749418688 3665891584 5498837376 10997674752