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10874499168 = 2531317948679
BaseRepresentation
bin10100010000010101…
…11011000001100000
31001001212021210110110
422020022323001200
5134232332433133
64555022131320
7533323501131
oct121012730140
931055253413
1010874499168
11468040a1a5
122135a20b40
131043c259c0
14752361c88
15439a4dc63
hex2882bb060

10874499168 has 96 divisors (see below), whose sum is σ = 30913747200. Its totient is φ = 3327238656.

The previous prime is 10874499149. The next prime is 10874499169. The reversal of 10874499168 is 86199447801.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874499169) 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, 199053 + ... + 247731.

It is an arithmetic number, because the mean of its divisors is an integer number (322018200).

Almost surely, 210874499168 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 10874499168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456873600).

10874499168 is an abundant number, since it is smaller than the sum of its proper divisors (20039248032).

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

10874499168 is a wasteful number, since it uses less digits than its factorization.

10874499168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48884 (or 48876 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 10874499168 in words is "ten billion, eight hundred seventy-four million, four hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 179 208 312 358 416 537 624 716 1074 1248 1432 2148 2327 2864 4296 4654 5728 6981 8592 9308 13962 17184 18616 27924 37232 48679 55848 74464 97358 111696 146037 194716 223392 292074 389432 584148 632827 778864 1168296 1265654 1557728 1898481 2336592 2531308 3796962 4673184 5062616 7593924 8713541 10125232 15187848 17427082 20250464 26140623 30375696 34854164 52281246 60751392 69708328 104562492 113276033 139416656 209124984 226552066 278833312 339828099 418249968 453104132 679656198 836499936 906208264 1359312396 1812416528 2718624792 3624833056 5437249584 10874499168