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145610506503 = 327113161311057
BaseRepresentation
bin1000011110011100010…
…0000000000100000111
3111220211211212010210100
42013213010000010013
54341202242202003
6150520442255143
713343235612060
oct2074704000407
9456754763710
10145610506503
1156831375780
12242787b74b3
1310967057727
14709480d567
153bc356dba3
hex21e7100107

145610506503 has 96 divisors (see below), whose sum is σ = 271149944832. Its totient is φ = 73075737600.

The previous prime is 145610506499. The next prime is 145610506583. The reversal of 145610506503 is 305605016541.

145610506503 is a `hidden beast` number, since 1 + 45 + 6 + 105 + 0 + 6 + 503 = 666.

It is not a de Polignac number, because 145610506503 - 22 = 145610506499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145610506583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13163551 + ... + 13174607.

It is an arithmetic number, because the mean of its divisors is an integer number (2824478592).

Almost surely, 2145610506503 is an apocalyptic number.

145610506503 is a deficient number, since it is larger than the sum of its proper divisors (125539438329).

145610506503 is a wasteful number, since it uses less digits than its factorization.

145610506503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145610506503 in words is "one hundred forty-five billion, six hundred ten million, five hundred six thousand, five hundred three".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 613 651 693 1023 1839 1953 2387 3069 4291 5517 6743 7161 11057 12873 19003 20229 21483 33171 38619 47201 57009 60687 77399 99513 121627 133021 141603 171027 209033 232197 342767 364881 399063 424809 627099 696591 851389 1028301 1094643 1197189 1463231 1881297 2399369 2554167 3084903 3770437 4389693 6777941 7198107 7662501 11311311 13169079 20333823 21594321 26393059 33933933 47445587 61001469 74557351 79179177 142336761 210116171 223672053 237537531 427010283 521901457 630348513 671016159 1470813197 1565704371 1891045539 2311277881 4412439591 4697113113 6933833643 13237318773 16178945167 20801500929 48536835501 145610506503