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2114164306062 = 235101392310979
BaseRepresentation
bin11110110000111110000…
…000110011000010001110
321111010000202010111100000
4132300332000303002032
5234114302030243222
64255122250145130
7305512651044354
oct36607600630216
97433022114300
102114164306062
117456806a8756
122a18a54221a6
131244987203b3
147447cb577d4
1539eda9a39ac
hex1ec3e03308e

2114164306062 has 96 divisors (see below), whose sum is σ = 4799037559680. Its totient is φ = 697502599200.

The previous prime is 2114164305977. The next prime is 2114164306081. The reversal of 2114164306062 is 2606034614112.

2114164306062 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 6 + 43 + 0 + 606 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192558889 + ... + 192569867.

It is an arithmetic number, because the mean of its divisors is an integer number (49989974580).

Almost surely, 22114164306062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114164306062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399518779840).

2114164306062 is an abundant number, since it is smaller than the sum of its proper divisors (2684873253618).

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

2114164306062 is a wasteful number, since it uses less digits than its factorization.

2114164306062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2114164306062 in words is "two trillion, one hundred fourteen billion, one hundred sixty-four million, three hundred six thousand, sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2727 3923 5454 7846 8181 10979 11769 16362 21958 23538 24543 32937 35307 49086 65874 70614 98811 105921 197622 211842 296433 317763 396223 592866 635526 792446 889299 953289 1108879 1188669 1778598 1906578 2217758 2377338 2667897 3326637 3566007 5335794 6653274 7132014 9979911 10698021 19959822 21396042 29939733 32094063 43070617 59879466 64188126 86141234 89819199 96282189 129211851 179638398 192564378 258423702 269457597 387635553 538915194 775271106 1162906659 2325813318 3488719977 4350132317 6977439954 8700264634 10466159931 13050396951 20932319862 26100793902 39151190853 78302381706 117453572559 234907145118 352360717677 704721435354 1057082153031 2114164306062