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64331455100 = 2252111014391319
BaseRepresentation
bin111011111010011101…
…000001101001111100
320011001100222112010012
4323322131001221330
52023222323030400
645315314202352
74435123226453
oct737235015174
9204040875105
1064331455100
112531247a420
12105745833b8
1360b2c40a83
143183c47b9a
151a17b4bd35
hexefa741a7c

64331455100 has 144 divisors (see below), whose sum is σ = 154265126400. Its totient is φ = 23091360000.

The previous prime is 64331455049. The next prime is 64331455103. The reversal of 64331455100 is 155413346.

It is a super-2 number, since 2×643314551002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64331455103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48772241 + ... + 48773559.

It is an arithmetic number, because the mean of its divisors is an integer number (1071285600).

Almost surely, 264331455100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64331455100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77132563200).

64331455100 is an abundant number, since it is smaller than the sum of its proper divisors (89933671300).

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

64331455100 is a wasteful number, since it uses less digits than its factorization.

64331455100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 64331455100 its reverse (155413346), we get a palindrome (64486868446).

The spelling of 64331455100 in words is "sixty-four billion, three hundred thirty-one million, four hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 439 505 550 878 1010 1100 1111 1319 1756 2020 2195 2222 2525 2638 4390 4444 4829 5050 5276 5555 6595 8780 9658 10100 10975 11110 13190 14509 19316 21950 22220 24145 26380 27775 29018 32975 43900 44339 48290 55550 58036 65950 72545 88678 96580 111100 120725 131900 133219 145090 177356 221695 241450 266438 290180 362725 443390 482900 487729 532876 579041 666095 725450 886780 975458 1108475 1158082 1332190 1450900 1465409 1950916 2216950 2316164 2438645 2664380 2895205 2930818 3330475 4433900 4877290 5790410 5861636 6369451 6660950 7327045 9754580 11580820 12193225 12738902 13321900 14476025 14654090 24386450 25477804 28952050 29308180 31847255 36635225 48772900 57904100 58483141 63694510 73270450 116966282 127389020 146540900 159236275 233932564 292415705 318472550 584831410 636945100 643314551 1169662820 1286629102 1462078525 2573258204 2924157050 3216572755 5848314100 6433145510 12866291020 16082863775 32165727550 64331455100