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10271593487493 = 32133143233282661
BaseRepresentation
bin1001010101111000101010…
…1011100101110010000101
31100100221210000021221002200
42111132022223211302011
52321242210413044433
633502412132025113
72110045443035142
oct225361253456205
940327700257080
1010271593487493
11330018181aaa8
12119a853a62199
135967b7a87740
1427720d7033c9
1512c2c383c613
hex9578aae5c85

10271593487493 has 96 divisors (see below), whose sum is σ = 16949517032448. Its totient is φ = 5949156326400.

The previous prime is 10271593487479. The next prime is 10271593487501. The reversal of 10271593487493 is 39478439517201.

10271593487493 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 15 + 93 + 48 + 7 + 493 = 666.

10271593487493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10271593487493 - 25 = 10271593487461 is a prime.

It is a super-2 number, since 2×102715934874932 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10271593487493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271593487453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36197583 + ... + 36480243.

It is an arithmetic number, because the mean of its divisors is an integer number (176557469088).

Almost surely, 210271593487493 is an apocalyptic number.

10271593487493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10271593487493 is a deficient number, since it is larger than the sum of its proper divisors (6677923544955).

10271593487493 is a wasteful number, since it uses less digits than its factorization.

10271593487493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282987 (or 282984 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10271593487493 in words is "ten trillion, two hundred seventy-one billion, five hundred ninety-three million, four hundred eighty-seven thousand, four hundred ninety-three".

Divisors: 1 3 9 13 31 39 43 93 117 129 233 279 387 403 559 699 1209 1333 1677 2097 3029 3627 3999 5031 7223 9087 10019 11997 17329 21669 27261 30057 51987 65007 90171 93899 130247 155961 281697 282661 310589 390741 845091 847983 931767 1172223 2543949 2795301 3674593 4037657 8762491 11023779 12112971 12154423 26287473 33071337 36338913 36463269 65860013 78862419 109389807 113912383 158007499 197580039 341737149 376787113 474022497 592740117 856180169 1025211447 1130361339 1422067491 2041660403 2568540507 2831980559 3391084017 4898232469 6124981209 7705621521 8495941677 14694697407 18374943627 25487825031 26541585239 36815747267 44084092221 79624755717 87791397329 110447241801 238874267151 263374191987 331341725403 790122575961 1141288165277 3423864495831 10271593487493