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1082380140624 = 24367643647809
BaseRepresentation
bin11111100000000101110…
…00100100000001010000
310211110210221012011121110
433300002320210001100
5120213203303444444
62145123310453320
7141125250252066
oct17600270440120
93743727164543
101082380140624
1138804240a942
12155932b04240
137b0b6554b93
143a55d352036
151d24db86cb9
hexfc02e24050

1082380140624 has 160 divisors (see below), whose sum is σ = 2850207575040. Its totient is φ = 353869249536.

The previous prime is 1082380140619. The next prime is 1082380140649. The reversal of 1082380140624 is 4260410832801.

It is a Cunningham number, because it is equal to 10403752-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337923132 + ... + 1337923940.

It is an arithmetic number, because the mean of its divisors is an integer number (17813797344).

Almost surely, 21082380140624 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 1082380140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425103787520).

1082380140624 is an abundant number, since it is smaller than the sum of its proper divisors (1767827434416).

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

1082380140624 is a wasteful number, since it uses less digits than its factorization.

1082380140624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 1082380140624 in words is "one trillion, eighty-two billion, three hundred eighty million, one hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 643 647 804 809 1072 1286 1294 1608 1618 1929 1941 2427 2572 2588 3216 3236 3858 3882 4854 5144 5176 6472 7716 7764 9708 10288 10352 12944 15432 15528 19416 30864 31056 38832 43081 43349 54203 86162 86698 108406 129243 130047 162609 172324 173396 216812 258486 260094 325218 344648 346792 416021 433624 516972 520187 520188 523423 650436 689296 693584 832042 867248 1033944 1040374 1040376 1046846 1248063 1300872 1560561 1570269 1664084 2067888 2080748 2080752 2093692 2496126 2601744 3121122 3140538 3328168 4161496 4187384 4992252 6242244 6281076 6656336 8322992 8374768 9984504 12484488 12562152 19969008 24968976 25124304 27873407 34852529 35069341 55746814 69705058 70138682 83620221 104557587 105208023 111493628 139410116 140277364 167240442 209115174 210416046 222987256 278820232 280554728 334480884 336560989 418230348 420832092 445974512 557640464 561109456 668961768 673121978 836460696 841664184 1009682967 1337923536 1346243956 1672921392 1683328368 2019365934 2692487912 4038731868 5384975824 8077463736 16154927472 22549586263 45099172526 67648758789 90198345052 135297517578 180396690104 270595035156 360793380208 541190070312 1082380140624