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145279647396 = 223213288327043
BaseRepresentation
bin1000011101001101010…
…1110111111010100100
3111212222210021202102100
42013103111313322210
54340013042204041
6150423543012100
713332110425212
oct2072325677244
9455883252370
10145279647396
11566816343a4
12241a5a3a030
1310913643900
1470628c5cb2
153ba44b66b6
hex21d3577ea4

145279647396 has 108 divisors (see below), whose sum is σ = 398121539088. Its totient is φ = 44649154368.

The previous prime is 145279647371. The next prime is 145279647433. The reversal of 145279647396 is 693746972541.

145279647396 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 79 + 6 + 473 + 96 = 666.

It is a super-2 number, since 2×1452796473962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5358651 + ... + 5385693.

Almost surely, 2145279647396 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 145279647396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199060769544).

145279647396 is an abundant number, since it is smaller than the sum of its proper divisors (252841891692).

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

145279647396 is a wasteful number, since it uses less digits than its factorization.

145279647396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27962 (or 27944 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 145279647396 in words is "one hundred forty-five billion, two hundred seventy-nine million, six hundred forty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 883 1014 1521 1766 2028 2649 3042 3532 5298 6084 7947 10596 11479 15894 22958 27043 31788 34437 45916 54086 68874 81129 103311 108172 137748 149227 162258 206622 243387 298454 324516 351559 413244 447681 486774 596908 703118 895362 973548 1054677 1343043 1406236 1790724 2109354 2686086 3164031 4218708 4570267 5372172 6328062 9140534 12656124 13710801 18281068 23878969 27421602 41132403 47757938 54843204 71636907 82264806 95515876 143273814 164529612 214910721 286547628 310426597 429821442 620853194 859642884 931279791 1241706388 1862559582 2793839373 3725119164 4035545761 5587678746 8071091522 11175357492 12106637283 16142183044 24213274566 36319911849 48426549132 72639823698 145279647396