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10455415132000 = 25533299792317
BaseRepresentation
bin1001100000100101011101…
…0011100000111101100000
31101000112020212011000001111
42120021113103200331200
52332300142233211000
634123052411513104
72126243635163026
oct230112723407540
941015225130044
1010455415132000
1133711312a7273
12120a3b5458794
135aac313a41a7
1428208aca6716
15131e817d9cba
hex982574e0f60

10455415132000 has 96 divisors (see below), whose sum is σ = 25696774303200. Its totient is φ = 4180893068800.

The previous prime is 10455415131989. The next prime is 10455415132009. The reversal of 10455415132000 is 23151455401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455415132009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12799842 + ... + 13592158.

It is an arithmetic number, because the mean of its divisors is an integer number (267674732325).

Almost surely, 210455415132000 is an apocalyptic number.

10455415132000 is a gapful number since it is divisible by the number (10) 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 10455415132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848387151600).

10455415132000 is an abundant number, since it is smaller than the sum of its proper divisors (15241359171200).

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

10455415132000 is an equidigital number, since it uses as much as digits as its factorization.

10455415132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795641 (or 795623 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 10455415132000 its reverse (23151455401), we get a palindrome (10478566587401).

The spelling of 10455415132000 in words is "ten trillion, four hundred fifty-five billion, four hundred fifteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3299 4000 6598 13196 16495 26392 32990 52784 65980 82475 105568 131960 164950 263920 329900 412375 527840 659800 792317 824750 1319600 1584634 1649500 2639200 3169268 3299000 3961585 6338536 6598000 7923170 12677072 13196000 15846340 19807925 25354144 31692680 39615850 63385360 79231700 99039625 126770720 158463400 198079250 316926800 396158500 633853600 792317000 1584634000 2613853783 3169268000 5227707566 10455415132 13069268915 20910830264 26138537830 41821660528 52277075660 65346344575 83643321056 104554151320 130692689150 209108302640 261385378300 326731722875 418216605280 522770756600 653463445750 1045541513200 1306926891500 2091083026400 2613853783000 5227707566000 10455415132000