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10309195776 = 211311152539
BaseRepresentation
bin10011001100111100…
…11101100000000000
3222121110120101222210
421212132131200000
5132103123231101
64422545502120
7513320501235
oct114636354000
928543511883
1010309195776
1144102aa410
121bb8641940
13c83a87a59
146db24b78c
154050d67d6
hex26679d800

10309195776 has 96 divisors (see below), whose sum is σ = 29983262400. Its totient is φ = 3123978240.

The previous prime is 10309195763. The next prime is 10309195783. The reversal of 10309195776 is 67759190301.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 8686 + ... + 143853.

It is an arithmetic number, because the mean of its divisors is an integer number (312325650).

Almost surely, 210309195776 is an apocalyptic number.

10309195776 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 10309195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991631200).

10309195776 is an abundant number, since it is smaller than the sum of its proper divisors (19674066624).

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

10309195776 is a wasteful number, since it uses less digits than its factorization.

10309195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152575 (or 152555 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

The spelling of 10309195776 in words is "ten billion, three hundred nine million, one hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 152539 305078 457617 610156 915234 1220312 1677929 1830468 2440624 3355858 3660936 4881248 5033787 6711716 7321872 9762496 10067574 13423432 14643744 19524992 20135148 26846864 29287488 39049984 40270296 53693728 58574976 78099968 80540592 107387456 117149952 156199936 161081184 214774912 234299904 312399872 322162368 429549824 468599808 644324736 859099648 937199616 1288649472 1718199296 2577298944 3436398592 5154597888 10309195776