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264452023000 = 23531126391411
BaseRepresentation
bin1111011001001010010…
…0011010001011011000
3221021121010010200200101
43312102210122023120
513313044204214000
6321253152345144
725051240051414
oct3662244321330
9837533120611
10264452023000
11a2176300010
12433045451b4
131bc262254a9
14cb29d51d44
156d2b989e6a
hex3d9291a2d8

264452023000 has 128 divisors (see below), whose sum is σ = 677648125440. Its totient is φ = 95797680000.

The previous prime is 264452022997. The next prime is 264452023009. The reversal of 264452023000 is 320254462.

It is a self number, because there is not a number n which added to its sum of digits gives 264452023000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264452023009) 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, 2847295 + ... + 2938705.

It is an arithmetic number, because the mean of its divisors is an integer number (5294125980).

Almost surely, 2264452023000 is an apocalyptic number.

264452023000 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 264452023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338824062720).

264452023000 is an abundant number, since it is smaller than the sum of its proper divisors (413196102440).

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

264452023000 is a wasteful number, since it uses less digits than its factorization.

264452023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91706 (or 91692 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 264452023000 its reverse (320254462), we get a palindrome (264772277462).

The spelling of 264452023000 in words is "two hundred sixty-four billion, four hundred fifty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 263 275 440 500 526 550 1000 1052 1100 1315 1375 2104 2200 2630 2750 2893 5260 5500 5786 6575 10520 11000 11572 13150 14465 23144 26300 28930 32875 52600 57860 65750 72325 91411 115720 131500 144650 182822 263000 289300 361625 365644 457055 578600 723250 731288 914110 1005521 1446500 1828220 2011042 2285275 2893000 3656440 4022084 4570550 5027605 8044168 9141100 10055210 11426375 18282200 20110420 22852750 24041093 25138025 40220840 45705500 48082186 50276050 91411000 96164372 100552100 120205465 125690125 192328744 201104200 240410930 251380250 264452023 480821860 502760500 528904046 601027325 961643720 1005521000 1057808092 1202054650 1322260115 2115616184 2404109300 2644520230 3005136625 4808218600 5289040460 6010273250 6611300575 10578080920 12020546500 13222601150 24041093000 26445202300 33056502875 52890404600 66113005750 132226011500 264452023000