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2364552010040 = 23511101136738923
BaseRepresentation
bin100010011010001010010…
…010000101100100111000
322101001022200202202022212
4202122022102011210320
5302220100303310130
65010132111434252
7332555542314413
oct42321222054470
98331280682285
102364552010040
11831889a69710
12322323825988
13141c8cc06c0c
1482632c4cb7a
1541792852e95
hex2268a485938

2364552010040 has 128 divisors (see below), whose sum is σ = 5865803205120. Its totient is φ = 850679232000.

The previous prime is 2364552010031. The next prime is 2364552010043. The reversal of 2364552010040 is 400102554632.

It is a super-2 number, since 2×23645520100402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2364552009979 and 2364552010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364552010043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60730019 + ... + 60768941.

It is an arithmetic number, because the mean of its divisors is an integer number (45826587540).

Almost surely, 22364552010040 is an apocalyptic number.

2364552010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364552010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932901602560).

2364552010040 is an abundant number, since it is smaller than the sum of its proper divisors (3501251195080).

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

2364552010040 is a wasteful number, since it uses less digits than its factorization.

2364552010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40413 (or 40409 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 2364552010040 its reverse (400102554632), we get a palindrome (2764654564672).

The spelling of 2364552010040 in words is "two trillion, three hundred sixty-four billion, five hundred fifty-two million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1367 2020 2222 2734 4040 4444 5468 5555 6835 8888 10936 11110 13670 15037 22220 27340 30074 38923 44440 54680 60148 75185 77846 120296 138067 150370 155692 194615 276134 300740 311384 389230 428153 552268 601480 690335 778460 856306 1104536 1380670 1518737 1556920 1712612 2140765 2761340 3037474 3425224 3931223 4281530 5522680 6074948 7593685 7862446 8563060 12149896 15187370 15724892 17126120 19656115 30374740 31449784 39312230 43243453 53207741 60749480 78624460 86486906 106415482 157248920 172973812 212830964 216217265 266038705 345947624 425661928 432434530 532077410 585285151 864869060 1064154820 1170570302 1729738120 2128309640 2341140604 2926425755 4682281208 5373981841 5852851510 10747963682 11705703020 21495927364 23411406040 26869909205 42991854728 53739818410 59113800251 107479636820 118227600502 214959273640 236455201004 295569001255 472910402008 591138002510 1182276005020 2364552010040