Search a number
-
+
16461721362030 = 23571311210949417
BaseRepresentation
bin1110111110001100101100…
…0011011101111001101110
32011021201120122222020020220
43233203023003131321232
54124202101132041110
655002224351152210
73316214541600420
oct357431303357156
964251518866226
1016461721362030
11527741660967a
121a1a485215666
1392544509c439
1440ca7441a810
151d83191ea370
hexef8cb0dde6e

16461721362030 has 128 divisors (see below), whose sum is σ = 45501500943360. Its totient is φ = 3733572510720.

The previous prime is 16461721362017. The next prime is 16461721362109. The reversal of 16461721362030 is 3026312716461.

It is a super-2 number, since 2×164617213620302 (a number of 27 digits) contains 22 as substring.

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

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, 333093882 + ... + 333143298.

It is an arithmetic number, because the mean of its divisors is an integer number (355480476120).

Almost surely, 216461721362030 is an apocalyptic number.

16461721362030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16461721362030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750750471680).

16461721362030 is an abundant number, since it is smaller than the sum of its proper divisors (29039779581330).

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

16461721362030 is a wasteful number, since it uses less digits than its factorization.

16461721362030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61674.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 16461721362030 in words is "sixteen trillion, four hundred sixty-one billion, seven hundred twenty-one million, three hundred sixty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1310 1834 1965 2751 3930 4585 5502 9170 12109 13755 24218 27510 36327 49417 60545 72654 84763 98834 121090 148251 169526 181635 247085 254289 296502 345919 363270 423815 494170 508578 691838 741255 847630 1037757 1271445 1482510 1586279 1729595 2075514 2542890 3172558 3459190 4758837 5188785 6473627 7931395 9517674 10377570 11103953 12947254 15862790 19420881 22207906 23794185 32368135 33311859 38841762 45315389 47588370 55519765 64736270 66623718 90630778 97104405 111039530 135946167 166559295 194208810 226576945 271892334 333118590 453153890 598390453 679730835 1196780906 1359461670 1795171359 2991952265 3590342718 4188733171 5983904530 8377466342 8975856795 12566199513 17951713590 20943665855 25132399026 41887331710 62830997565 78389149343 125661995130 156778298686 235167448029 391945746715 470334896058 548724045401 783891493430 1097448090802 1175837240145 1646172136203 2351674480290 2743620227005 3292344272406 5487240454010 8230860681015 16461721362030