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10982049024 = 283181199397
BaseRepresentation
bin10100011101001010…
…01100010100000000
31001100100122220010110
422032211030110000
5134442401032044
65013423231320
7536100606432
oct121645142400
931310586113
1010982049024
114726097a81
122165a48540
1310602b0a7b
1476275a652
154441e56b9
hex28e94c500

10982049024 has 144 divisors (see below), whose sum is σ = 29611836800. Its totient is φ = 3613040640.

The previous prime is 10982049017. The next prime is 10982049031. The reversal of 10982049024 is 42094028901.

It is an interprime number because it is at equal distance from previous prime (10982049017) and next prime (10982049031).

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, 27662394 + ... + 27662790.

Almost surely, 210982049024 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 10982049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805918400).

10982049024 is an abundant number, since it is smaller than the sum of its proper divisors (18629787776).

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

10982049024 is a wasteful number, since it uses less digits than its factorization.

10982049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10982049024 in words is "ten billion, nine hundred eighty-two million, forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 199 256 362 384 397 398 543 597 724 768 794 796 1086 1191 1194 1448 1588 1592 2172 2382 2388 2896 3176 3184 4344 4764 4776 5792 6352 6368 8688 9528 9552 11584 12704 12736 17376 19056 19104 23168 25408 25472 34752 36019 38112 38208 46336 50816 50944 69504 71857 72038 76224 76416 79003 101632 108057 139008 143714 144076 152448 152832 158006 215571 216114 237009 287428 288152 304896 316012 431142 432228 474018 574856 576304 632024 862284 864456 948036 1149712 1152608 1264048 1724568 1728912 1896072 2299424 2305216 2528096 3449136 3457824 3792144 4598848 4610432 5056192 6898272 6915648 7584288 9197696 9220864 10112384 13796544 13831296 14299543 15168576 18395392 20224768 27593088 27662592 28599086 30337152 42898629 55186176 57198172 60674304 85797258 114396344 171594516 228792688 343189032 457585376 686378064 915170752 1372756128 1830341504 2745512256 3660683008 5491024512 10982049024