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2164054362300 = 22325223104543689
BaseRepresentation
bin11111011111011011101…
…100010000100010111100
321122212210200001221110200
4133133123230100202330
5240423440404043200
64334053003203500
7312230166401355
oct37373354204274
97585720057420
102164054362300
117648522a8396
122ab4a9516590
131290b977752c
1476a52a28d2c
153b45a87c800
hex1f7dbb108bc

2164054362300 has 108 divisors (see below), whose sum is σ = 7078025987760. Its totient is φ = 551990672640.

The previous prime is 2164054362287. The next prime is 2164054362389. The reversal of 2164054362300 is 32634504612.

2164054362300 is a `hidden beast` number, since 2 + 1 + 640 + 5 + 4 + 3 + 6 + 2 + 3 + 0 + 0 = 666.

It is a super-2 number, since 2×21640543623002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52251145 + ... + 52292544.

Almost surely, 22164054362300 is an apocalyptic number.

2164054362300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164054362300 is an abundant number, since it is smaller than the sum of its proper divisors (4913971625460).

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

2164054362300 is a wasteful number, since it uses less digits than its factorization.

2164054362300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104543732 (or 104543722 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2164054362300 its reverse (32634504612), we get a palindrome (2196688866912).

The spelling of 2164054362300 in words is "two trillion, one hundred sixty-four billion, fifty-four million, three hundred sixty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 104543689 209087378 313631067 418174756 522718445 627262134 940893201 1045436890 1254524268 1568155335 1881786402 2090873780 2404504847 2613592225 3136310670 3763572804 4704466005 4809009694 5227184450 6272621340 7213514541 7840776675 9408932010 9618019388 10454368900 12022524235 14427029082 15681553350 18817864020 21640543623 23522330025 24045048470 28854058164 31363106700 36067572705 43281087246 47044660050 48090096940 60112621175 72135145410 86562174492 94089320100 108202718115 120225242350 144270290820 180337863525 216405436230 240450484700 360675727050 432810872460 541013590575 721351454100 1082027181150 2164054362300