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10745416320 = 27356418731
BaseRepresentation
bin10100000000111101…
…00000101010000000
31000201212101201002020
422000132200222000
5134001311310240
64534131321440
7530165350242
oct120036405200
930655351066
1010745416320
114614564361
1220ba750280
13102326b812
1473d160092
1542d5520d0
hex2807a0a80

10745416320 has 128 divisors (see below), whose sum is σ = 34308377280. Its totient is φ = 2860646400.

The previous prime is 10745416307. The next prime is 10745416343. The reversal of 10745416320 is 2361454701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226355 + ... + 1235085.

Almost surely, 210745416320 is an apocalyptic number.

10745416320 is a gapful number since it is divisible by the number (10) 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 10745416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154188640).

10745416320 is an abundant number, since it is smaller than the sum of its proper divisors (23562960960).

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

10745416320 is an equidigital number, since it uses as much as digits as its factorization.

10745416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10745416320 in words is "ten billion, seven hundred forty-five million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 641 960 1282 1920 1923 2564 3205 3846 5128 6410 7692 8731 9615 10256 12820 15384 17462 19230 20512 25640 26193 30768 34924 38460 41024 43655 51280 52386 61536 69848 76920 82048 87310 102560 104772 123072 130965 139696 153840 174620 205120 209544 246144 261930 279392 307680 349240 410240 419088 523860 558784 615360 698480 838176 1047720 1117568 1230720 1396960 1676352 2095440 2793920 3352704 4190880 5587840 5596571 8381760 11193142 16763520 16789713 22386284 27982855 33579426 44772568 55965710 67158852 83948565 89545136 111931420 134317704 167897130 179090272 223862840 268635408 335794260 358180544 447725680 537270816 671588520 716361088 895451360 1074541632 1343177040 1790902720 2149083264 2686354080 3581805440 5372708160 10745416320