Search a number
-
+
22053311314464 = 2532330661325753
BaseRepresentation
bin1010000001110101011111…
…10010010111101000100000
32220002021110011221201202010
411000322233302113220200
510342310140144030324
6114523052405352520
74434204420150513
oct500725762275040
986067404851663
1022053311314464
1170328363434a1
1225820b5408740
13c3c80662c0a1
14563559120d7a
152839cd293829
hex140eafc97a20

22053311314464 has 96 divisors (see below), whose sum is σ = 60409051807104. Its totient is φ = 7031239649280.

The previous prime is 22053311314429. The next prime is 22053311314477. The reversal of 22053311314464 is 46441311335022.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67536612 + ... + 67862364.

It is an arithmetic number, because the mean of its divisors is an integer number (629260956324).

Almost surely, 222053311314464 is an apocalyptic number.

22053311314464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22053311314464 is an abundant number, since it is smaller than the sum of its proper divisors (38355740492640).

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

22053311314464 is a wasteful number, since it uses less digits than its factorization.

22053311314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356450 (or 356442 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 22053311314464 its reverse (46441311335022), we get a palindrome (68494622649486).

The spelling of 22053311314464 in words is "twenty-two trillion, fifty-three billion, three hundred eleven million, three hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 30661 61322 91983 122644 183966 245288 325753 367932 490576 651506 705203 735864 977259 981152 1303012 1410406 1471728 1954518 2115609 2606024 2820812 2943456 3909036 4231218 5212048 5641624 7492319 7818072 8462436 10424096 11283248 14984638 15636144 16924872 22476957 22566496 29969276 31272288 33849744 44953914 59938552 67699488 89907828 119877104 179815656 239754208 359631312 719262624 9987912733 19975825466 29963738199 39951650932 59927476398 79903301864 119854952796 159806603728 229721992859 239709905592 319613207456 459443985718 479419811184 689165978577 918887971436 958839622368 1378331957154 1837775942872 2756663914308 3675551885744 5513327828616 7351103771488 11026655657232 22053311314464