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45235303106154 = 23721731759505613
BaseRepresentation
bin10100100100100001010100…
…01011000100011001101010
312221011110020001100102122020
422102100222023010121222
521412113400043344104
6240112451131005310
712346066660153500
oct1222205213043152
9187143201312566
1045235303106154
1113460203359a17
1250a6aa3599836
131c31894919405
14b255867d0670
15536a19d672d9
hex29242a2c466a

45235303106154 has 96 divisors (see below), whose sum is σ = 105910034250240. Its totient is φ = 12842334465408.

The previous prime is 45235303106137. The next prime is 45235303106159. The reversal of 45235303106154 is 45160130353254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45235303106159) 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, 89213452 + ... + 89719064.

It is an arithmetic number, because the mean of its divisors is an integer number (1103229523440).

Almost surely, 245235303106154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45235303106154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52955017125120).

45235303106154 is an abundant number, since it is smaller than the sum of its proper divisors (60674731144086).

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

45235303106154 is a wasteful number, since it uses less digits than its factorization.

45235303106154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507564 (or 507557 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 45235303106154 in words is "forty-five trillion, two hundred thirty-five billion, three hundred three million, one hundred six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 173 294 346 519 1038 1211 1759 2422 3518 3633 5277 7266 8477 10554 12313 16954 24626 25431 36939 50862 73878 86191 172382 258573 304307 505613 517146 608614 912921 1011226 1516839 1825842 2130149 3033678 3539291 4260298 6390447 7078582 10617873 12780894 14911043 21235746 24775037 29822086 44733129 49550074 74325111 87471049 89466258 148650222 174942098 262413147 524826294 612297343 889373267 1224594686 1778746534 1836892029 2668119801 3673784058 4286081401 5336239602 6225612869 8572162802 12451225738 12858244203 18676838607 25716488406 37353677214 43579290083 87158580166 130737870249 153861575191 261475740498 307723150382 461584725573 923169451146 1077031026337 2154062052674 3231093079011 6462186158022 7539217184359 15078434368718 22617651553077 45235303106154