Search a number
-
+
16145621646 = 23711298314519
BaseRepresentation
bin11110000100101101…
…01010001010001110
31112200012211120010220
433002112222022032
5231031234343041
611230040412210
71111050343140
oct170226521216
945605746126
1016145621646
116935867570
123167177066
1316a3cb129b
14ad243ac90
156476acd66
hex3c25aa28e

16145621646 has 128 divisors (see below), whose sum is σ = 42152140800. Its totient is φ = 3999999360.

The previous prime is 16145621567. The next prime is 16145621669. The reversal of 16145621646 is 64612654161.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 16145621598 and 16145621607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104775 + ... + 1119293.

It is an arithmetic number, because the mean of its divisors is an integer number (329313600).

Almost surely, 216145621646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16145621646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

16145621646 is an abundant number, since it is smaller than the sum of its proper divisors (26006519154).

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

16145621646 is a wasteful number, since it uses less digits than its factorization.

16145621646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654.

The product of its digits is 207360, while the sum is 42.

The spelling of 16145621646 in words is "sixteen billion, one hundred forty-five million, six hundred twenty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 83 87 154 166 174 203 231 249 319 406 462 498 581 609 638 913 957 1162 1218 1743 1826 1914 2233 2407 2739 3486 4466 4814 5478 6391 6699 7221 12782 13398 14442 14519 16849 19173 26477 29038 33698 38346 43557 50547 52954 79431 87114 101094 101633 158862 159709 185339 203266 304899 319418 370678 421051 479127 556017 609798 842102 958254 1112034 1117963 1205077 1263153 2235926 2410154 2526306 2947357 3353889 3615231 4631561 5894714 6707778 7230462 8435539 8842071 9263122 13255847 13894683 16871078 17684142 25306617 26511694 27789366 32420927 34947233 39767541 50613234 64841854 69894466 79535082 92790929 97262781 104841699 185581858 194525562 209683398 244630631 278372787 384419563 489261262 556745574 733891893 768839126 1153258689 1467783786 2306517378 2690936941 5381873882 8072810823 16145621646