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803280442704 = 243435315434759
BaseRepresentation
bin10111011000001110011…
…11101101010101010000
32211210101222212111101120
423230013033231111100
5101130104243131304
61413004423402240
7112015016050635
oct13540717552520
92753358774346
10803280442704
1128a73a960973
1210b820bb3380
135a9977a1c2c
142ac43cd018c
1515d662d00d9
hexbb073ed550

803280442704 has 160 divisors (see below), whose sum is σ = 2165321410560. Its totient is φ = 256378397184.

The previous prime is 803280442649. The next prime is 803280442753. The reversal of 803280442704 is 407244082308.

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, 168789477 + ... + 168794235.

It is an arithmetic number, because the mean of its divisors is an integer number (13533258816).

Almost surely, 2803280442704 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 803280442704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082660705280).

803280442704 is an abundant number, since it is smaller than the sum of its proper divisors (1362040967856).

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

803280442704 is a wasteful number, since it uses less digits than its factorization.

803280442704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 803280442704 in words is "eight hundred three billion, two hundred eighty million, four hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 1543 2064 2279 2544 3086 4558 4629 4759 6172 6837 9116 9258 9518 12344 13674 14277 18232 18516 19036 24688 27348 28554 36464 37032 38072 54696 57108 66349 74064 76144 81779 109392 114216 132698 163558 199047 204637 228432 245337 252227 265396 327116 398094 409274 490674 504454 530792 613911 654232 756681 796188 818548 981348 1008908 1061584 1227822 1308464 1513362 1592376 1637096 1962696 2017816 2455644 3026724 3184752 3274192 3516497 3925392 4035632 4911288 6053448 7032994 7343137 9822576 10549491 10845761 12106896 14065988 14686274 21098982 21691522 22029411 28131976 29372548 32537283 42197964 43383044 44058822 56263952 58745096 65074566 84395928 86766088 88117644 117490192 130149132 168791856 173532176 176235288 260298264 315754891 352470576 389186261 520596528 631509782 778372522 947264673 1167558783 1263019564 1556745044 1894529346 2335117566 2526039128 3113490088 3789058692 4670235132 5052078256 6226980176 7578117384 9340470264 15156234768 16735009223 18680940528 33470018446 50205027669 66940036892 100410055338 133880073784 200820110676 267760147568 401640221352 803280442704