Search a number
-
+
10797517808 = 2471123834591
BaseRepresentation
bin10100000111001010…
…10000101111110000
31000212111102201212222
422003211100233300
5134103131032213
64543232140212
7531400246520
oct120345205760
930774381788
1010797517808
114640a0aa40
122114097668
131030cb15bc
14746043680
15432de4808
hex283950bf0

10797517808 has 160 divisors (see below), whose sum is σ = 27550236672. Its totient is φ = 3974572800.

The previous prime is 10797517807. The next prime is 10797517823. The reversal of 10797517808 is 80871579701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10797517808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10797517807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349593 + ... + 2354183.

Almost surely, 210797517808 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 10797517808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775118336).

10797517808 is an abundant number, since it is smaller than the sum of its proper divisors (16752718864).

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

10797517808 is a wasteful number, since it uses less digits than its factorization.

10797517808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 53.

The spelling of 10797517808 in words is "ten billion, seven hundred ninety-seven million, five hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 83 88 92 112 154 161 166 176 184 253 308 322 332 368 506 581 616 644 664 913 1012 1162 1232 1288 1328 1771 1826 1909 2024 2324 2576 3542 3652 3818 4048 4591 4648 6391 7084 7304 7636 9182 9296 12782 13363 14168 14608 15272 18364 20999 25564 26726 28336 30544 32137 36728 41998 50501 51128 53452 64274 73456 83996 101002 102256 105593 106904 128548 146993 167992 202004 211186 213808 257096 293986 335984 353507 381053 404008 422372 514192 587972 707014 739151 762106 808016 844744 1161523 1175944 1414028 1478302 1524212 1689488 2323046 2351888 2667371 2828056 2956604 3048424 4191583 4646092 5334742 5656112 5913208 6096848 8130661 8383166 8764219 9292184 10669484 11826416 16261322 16766332 17528438 18584368 21338968 29341081 32522644 33532664 35056876 42677936 58682162 61349533 65045288 67065328 70113752 96406409 117364324 122699066 130090576 140227504 192812818 234728648 245398132 385625636 469457296 490796264 674844863 771251272 981592528 1349689726 1542502544 2699379452 5398758904 10797517808