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10974789840 = 2435715741609
BaseRepresentation
bin10100011100010011…
…00000000011010000
31001022212000002101210
422032021200003100
5134434021233330
65013003500120
7535652113560
oct121611400320
931285002353
1010974789840
114721a8a053
122163527640
13105b93b8b1
147617cada0
1544375e8b0
hex28e2600d0

10974789840 has 160 divisors (see below), whose sum is σ = 39130709760. Its totient is φ = 2492485632.

The previous prime is 10974789809. The next prime is 10974789869. The reversal of 10974789840 is 4898747901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242956 + ... + 284564.

It is an arithmetic number, because the mean of its divisors is an integer number (244566936).

Almost surely, 210974789840 is an apocalyptic number.

10974789840 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 10974789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565354880).

10974789840 is an abundant number, since it is smaller than the sum of its proper divisors (28155919920).

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

10974789840 is a wasteful number, since it uses less digits than its factorization.

10974789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41789 (or 41783 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 10974789840 in words is "ten billion, nine hundred seventy-four million, seven hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 157 168 210 240 280 314 336 420 471 560 628 785 840 942 1099 1256 1570 1680 1884 2198 2355 2512 3140 3297 3768 4396 4710 5495 6280 6594 7536 8792 9420 10990 12560 13188 16485 17584 18840 21980 26376 32970 37680 41609 43960 52752 65940 83218 87920 124827 131880 166436 208045 249654 263760 291263 332872 416090 499308 582526 624135 665744 832180 873789 998616 1165052 1248270 1456315 1664360 1747578 1997232 2330104 2496540 2912630 3328720 3495156 4368945 4660208 4993080 5825260 6532613 6990312 8737890 9986160 11650520 13065226 13980624 17475780 19597839 23301040 26130452 32663065 34951560 39195678 45728291 52260904 65326130 69903120 78391356 91456582 97989195 104521808 130652260 137184873 156782712 182913164 195978390 228641455 261304520 274369746 313565424 365826328 391956780 457282910 522609040 548739492 685924365 731652656 783913560 914565820 1097478984 1371848730 1567827120 1829131640 2194957968 2743697460 3658263280 5487394920 10974789840