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2121283555960 = 2354347227115597
BaseRepresentation
bin11110110111100110010…
…110100101001001111000
321111210101220020212020011
4132313212112211021320
5234223342042242320
64302300524311304
7306154245502102
oct36674626451170
97453356225204
102121283555960
117486a42a1558
122a31516a2534
131250616499ba
1474956476572
153a2a59c605a
hex1ede65a5278

2121283555960 has 128 divisors (see below), whose sum is σ = 5009813867520. Its totient is φ = 807566602752.

The previous prime is 2121283555957. The next prime is 2121283556023. The reversal of 2121283555960 is 695553821212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18292882 + ... + 18408478.

It is an arithmetic number, because the mean of its divisors is an integer number (39139170840).

Almost surely, 22121283555960 is an apocalyptic number.

2121283555960 is a gapful number since it is divisible by the number (20) 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 2121283555960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504906933760).

2121283555960 is an abundant number, since it is smaller than the sum of its proper divisors (2888530311560).

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

2121283555960 is a wasteful number, since it uses less digits than its factorization.

2121283555960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115925 (or 115921 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

The spelling of 2121283555960 in words is "two trillion, one hundred twenty-one billion, two hundred eighty-three million, five hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 47 86 94 172 188 215 227 235 344 376 430 454 470 860 908 940 1135 1720 1816 1880 2021 2270 4042 4540 8084 9080 9761 10105 10669 16168 19522 20210 21338 39044 40420 42676 48805 53345 78088 80840 85352 97610 106690 115597 195220 213380 231194 390440 426760 458767 462388 577985 917534 924776 1155970 1835068 2293835 2311940 3670136 4587670 4623880 4970671 5433059 9175340 9941342 10866118 18350680 19882684 21732236 24853355 26240519 27165295 39765368 43464472 49706710 52481038 54330590 99413420 104962076 108661180 131202595 198826840 209924152 217322360 233621537 262405190 467243074 524810380 934486148 1049620760 1128342317 1168107685 1233304393 1868972296 2256684634 2336215370 2466608786 4513369268 4672430740 4933217572 5641711585 6166521965 9026738536 9344861480 9866435144 11283423170 12333043930 22566846340 24666087860 45133692680 49332175720 53032088899 106064177798 212128355596 265160444495 424256711192 530320888990 1060641777980 2121283555960