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145643379399 = 33719317916561
BaseRepresentation
bin1000011110100100000…
…1011001101011000111
3111220221010201020221000
42013221001121223013
54341234201120044
6150524015024343
713344115204320
oct2075101315307
9456833636830
10145643379399
1156848988661
122428780b0b3
1310970ac724b
147098d29447
153bc63b3d69
hex21e9059ac7

145643379399 has 128 divisors (see below), whose sum is σ = 271351808000. Its totient is φ = 75330777600.

The previous prime is 145643379383. The next prime is 145643379433. The reversal of 145643379399 is 993973346541.

145643379399 is a `hidden beast` number, since 1 + 4 + 564 + 3 + 37 + 9 + 39 + 9 = 666.

It is not a de Polignac number, because 145643379399 - 24 = 145643379383 is a prime.

It is a super-2 number, since 2×1456433793992 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145643379379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8786079 + ... + 8802639.

It is an arithmetic number, because the mean of its divisors is an integer number (2119936000).

Almost surely, 2145643379399 is an apocalyptic number.

145643379399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

145643379399 is a deficient number, since it is larger than the sum of its proper divisors (125708428601).

145643379399 is a wasteful number, since it uses less digits than its factorization.

145643379399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16706 (or 16700 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 145643379399 in words is "one hundred forty-five billion, six hundred forty-three million, three hundred seventy-nine thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 19 21 27 31 57 63 79 93 133 171 189 217 237 279 399 513 553 589 651 711 837 1197 1501 1659 1767 1953 2133 2449 3591 4123 4503 4977 5301 5859 7347 10507 12369 13509 14931 15903 16561 17143 22041 31521 37107 40527 46531 49683 51429 66123 94563 111321 115927 139593 149049 154287 283689 314659 325717 347781 418779 447147 462861 513391 943977 977151 1043343 1256337 1308319 1540173 2202613 2831931 2931453 3130029 3593737 3924957 4620519 6607839 8495793 8794359 9158233 9754429 10781211 11774871 13861557 19823517 24858061 27474699 29263287 32343633 35324613 40557889 59470551 68281003 74574183 82424097 87789861 97030899 121673667 174006427 204843009 223722549 247272291 263369583 283905223 365021001 522019281 614529027 671167647 770599891 851715669 1095063003 1566057843 1843587081 2311799673 2555147007 4698173529 5394199237 6935399019 7665441021 16182597711 20806197057 48547793133 145643379399