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10797022848 = 273239711259
BaseRepresentation
bin10100000111000110…
…10111111010000000
31000212110111120221010
422003203113322000
5134103014212343
64543213400520
7531363115503
oct120343277200
930773446833
1010797022848
114640702087
122113a99140
131030b6a221
14745d5513a
15432d47d33
hex2838d7e80

10797022848 has 128 divisors (see below), whose sum is σ = 29981145600. Its totient is φ = 3436252160.

The previous prime is 10797022843. The next prime is 10797022849. The reversal of 10797022848 is 84822079701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107970228482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10797022797 and 10797022806.

It is not an unprimeable number, because it can be changed into a prime (10797022843) 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, 8575243 + ... + 8576501.

It is an arithmetic number, because the mean of its divisors is an integer number (234227700).

Almost surely, 210797022848 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 10797022848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990572800).

10797022848 is an abundant number, since it is smaller than the sum of its proper divisors (19184122752).

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

10797022848 is a wasteful number, since it uses less digits than its factorization.

10797022848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 10797022848 in words is "ten billion, seven hundred ninety-seven million, twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 971 1104 1259 1472 1942 2208 2518 2913 2944 3777 3884 4416 5036 5826 7554 7768 8832 10072 11652 15108 15536 20144 22333 23304 28957 30216 31072 40288 44666 46608 57914 60432 62144 66999 80576 86871 89332 93216 115828 120864 124288 133998 161152 173742 178664 186432 231656 241728 267996 347484 357328 372864 463312 483456 535992 694968 714656 926624 1071984 1222489 1389936 1429312 1853248 2143968 2444978 2779872 2858624 3667467 3706496 4287936 4889956 5559744 7334934 8575872 9779912 11119488 14669868 19559824 28117247 29339736 39119648 56234494 58679472 78239296 84351741 112468988 117358944 156478592 168703482 224937976 234717888 337406964 449875952 469435776 674813928 899751904 1349627856 1799503808 2699255712 3599007616 5398511424 10797022848