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32053223104 = 267177357653
BaseRepresentation
bin11101110110100001…
…010101111011000000
310001201211210102222021
4131312201111323000
51011121111114404
622420335451224
72213210621020
oct356641257300
9101654712867
1032053223104
1112659232a31
126266686b14
13303a885906
1417a0dd9a80
15c79001454
hex776855ec0

32053223104 has 112 divisors (see below), whose sum is σ = 78023850048. Its totient is φ = 12751699968.

The previous prime is 32053223093. The next prime is 32053223107. The reversal of 32053223104 is 40132235023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×320532231042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32053223107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527142 + ... + 584794.

Almost surely, 232053223104 is an apocalyptic number.

32053223104 is a gapful number since it is divisible by the number (34) 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 32053223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39011925024).

32053223104 is an abundant number, since it is smaller than the sum of its proper divisors (45970626944).

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

32053223104 is a wasteful number, since it uses less digits than its factorization.

32053223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57762 (or 57752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 32053223104 its reverse (40132235023), we get a palindrome (72185458127).

The spelling of 32053223104 in words is "thirty-two billion, fifty-three million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 73 112 119 136 146 224 238 272 292 448 476 511 544 584 952 1022 1088 1168 1241 1904 2044 2336 2482 3808 4088 4672 4964 7616 8176 8687 9928 16352 17374 19856 32704 34748 39712 57653 69496 79424 115306 138992 230612 277984 403571 461224 555968 807142 922448 980101 1614284 1844896 1960202 3228568 3689792 3920404 4208669 6457136 6860707 7840808 8417338 12914272 13721414 15681616 16834676 25828544 27442828 29460683 31363232 33669352 54885656 58921366 62726464 67338704 71547373 109771312 117842732 134677408 143094746 219542624 235685464 269354816 286189492 439085248 471370928 500831611 572378984 942741856 1001663222 1144757968 1885483712 2003326444 2289515936 4006652888 4579031872 8013305776 16026611552 32053223104