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10854940980 = 22351321762971
BaseRepresentation
bin10100001110000000…
…10100000100110100
31001000111111010200010
422013000110010310
5134212331102410
64553043020220
7532665322152
oct120700240464
931014433603
1010854940980
114670370904
12212b36a670
13103cb68700
1474d9103d2
15437e88c20
hex287014134

10854940980 has 144 divisors (see below), whose sum is σ = 34848201024. Its totient is φ = 2514769920.

The previous prime is 10854940969. The next prime is 10854941021. The reversal of 10854940980 is 8904945801.

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 47 ways as a sum of consecutive naturals, for example, 140895 + ... + 203865.

It is an arithmetic number, because the mean of its divisors is an integer number (242001396).

Almost surely, 210854940980 is an apocalyptic number.

10854940980 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 10854940980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424100512).

10854940980 is an abundant number, since it is smaller than the sum of its proper divisors (23993260044).

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

10854940980 is a wasteful number, since it uses less digits than its factorization.

10854940980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63026 (or 63011 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 10854940980 in words is "ten billion, eight hundred fifty-four million, nine hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 663 676 780 845 884 1014 1020 1105 1326 1690 2028 2210 2535 2652 2873 3315 3380 4420 5070 5746 6630 8619 10140 11492 13260 14365 17238 28730 34476 43095 57460 62971 86190 125942 172380 188913 251884 314855 377826 629710 755652 818623 944565 1070507 1259420 1637246 1889130 2141014 2455869 3211521 3274492 3778260 4093115 4282028 4911738 5352535 6423042 8186230 9823476 10642099 10705070 12279345 12846084 13916591 16057605 16372460 21284198 21410140 24558690 27833182 31926297 32115210 41749773 42568396 49117380 53210495 55666364 63852594 64230420 69582955 83499546 106420990 127705188 139165910 159631485 166999092 180915683 208748865 212841980 278331820 319262970 361831366 417497730 542747049 638525940 723662732 834995460 904578415 1085494098 1809156830 2170988196 2713735245 3618313660 5427470490 10854940980