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10809365376 = 273191293503
BaseRepresentation
bin10100001000100100…
…11101001110000000
31000220022201122200210
422010102131032000
5134114144143001
64544334114120
7531603042525
oct120422351600
930808648623
1010809365376
114647672217
12211804b940
13103359c0b4
1474784914c
15433e84dd6
hex28449d380

10809365376 has 128 divisors (see below), whose sum is σ = 29018787840. Its totient is φ = 3564922880.

The previous prime is 10809365363. The next prime is 10809365443. The reversal of 10809365376 is 67356390801.

It is a happy number.

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

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

It is a congruent number.

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, 21489541 + ... + 21490043.

It is an arithmetic number, because the mean of its divisors is an integer number (226709280).

Almost surely, 210809365376 is an apocalyptic number.

10809365376 is a gapful number since it is divisible by the number (16) 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 10809365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509393920).

10809365376 is an abundant number, since it is smaller than the sum of its proper divisors (18209422464).

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

10809365376 is a wasteful number, since it uses less digits than its factorization.

10809365376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 10809365376 in words is "ten billion, eight hundred nine million, three hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 293 382 384 503 573 586 764 879 1006 1146 1172 1509 1528 1758 2012 2292 2344 3018 3056 3516 4024 4584 4688 6036 6112 7032 8048 9168 9376 12072 12224 14064 16096 18336 18752 24144 24448 28128 32192 36672 37504 48288 55963 56256 64384 73344 96073 96576 111926 112512 147379 167889 192146 193152 223852 288219 294758 335778 384292 442137 447704 576438 589516 671556 768584 884274 895408 1152876 1179032 1343112 1537168 1768548 1790816 2305752 2358064 2686224 3074336 3537096 3581632 4611504 4716128 5372448 6148672 7074192 7163264 9223008 9432256 10744896 12297344 14148384 18446016 18864512 21489792 28149389 28296768 36892032 56298778 56593536 84448167 112597556 168896334 225195112 337792668 450390224 675585336 900780448 1351170672 1801560896 2702341344 3603121792 5404682688 10809365376