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803281052532 = 2237223910495449
BaseRepresentation
bin10111011000001110100…
…10000010001101110100
32211210102001000110220210
423230013102002031310
5101130104422140112
61413004444425420
7112015024200600
oct13540722021564
92753361013823
10803281052532
1128a740238062
1210b821248270
135a99795668a
142ac4400c500
1515d663a0b3c
hexbb07482374

803281052532 has 144 divisors (see below), whose sum is σ = 2191946400000. Its totient is φ = 228288807936.

The previous prime is 803281052521. The next prime is 803281052537. The reversal of 803281052532 is 235250182308.

It is a super-2 number, since 2×8032810525322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803281052537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147415344 + ... + 147420792.

It is an arithmetic number, because the mean of its divisors is an integer number (15221850000).

Almost surely, 2803281052532 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 803281052532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095973200000).

803281052532 is an abundant number, since it is smaller than the sum of its proper divisors (1388665347468).

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

803281052532 is a wasteful number, since it uses less digits than its factorization.

803281052532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 803281052532 in words is "eight hundred three billion, two hundred eighty-one million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 478 588 717 956 1049 1434 1673 2098 2868 3147 3346 4196 5019 5449 6294 6692 7343 10038 10898 11711 12588 14686 16347 20076 21796 22029 23422 29372 32694 35133 38143 44058 46844 51401 65388 70266 76286 88116 102802 114429 140532 152572 154203 205604 228858 250711 267001 308406 457716 501422 534002 616812 752133 801003 1002844 1068004 1302311 1504266 1602006 1754977 2604622 3008532 3204012 3509954 3906933 5209244 5264931 5716001 7019908 7813866 9116177 10529862 11432002 12284839 15627732 17148003 18232354 21059724 22864004 24569678 27348531 34296006 36464708 36854517 40012007 49139356 54697062 63813239 68592012 73709034 80024014 109394124 120036021 127626478 147418068 160048028 191439717 240072042 255252956 280084049 382879434 480144084 560168098 765758868 840252147 1120336196 1366124239 1680504294 2732248478 3361008588 4098372717 5464496956 8196745434 9562869673 16393490868 19125739346 28688609019 38251478692 57377218038 66940087711 114754436076 133880175422 200820263133 267760350844 401640526266 803281052532