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10445505021354 = 231314925110513407
BaseRepresentation
bin1001100000000000100010…
…0111011100010110101010
31100222120200012112012221110
42120000020213130112222
52332114343241140404
634114333155451150
72125443231503124
oct230001047342652
940876605465843
1010445505021354
113367a062a8487
1212084aa5b6ab6
135aa0121ca4b0
142817caa62214
15131aa1785b89
hex980089dc5aa

10445505021354 has 128 divisors (see below), whose sum is σ = 22767555686400. Its totient is φ = 3175754400000.

The previous prime is 10445505021247. The next prime is 10445505021379. The reversal of 10445505021354 is 45312050554401.

It is a super-2 number, since 2×104455050213542 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3065893519 + ... + 3065896925.

It is an arithmetic number, because the mean of its divisors is an integer number (177871528800).

Almost surely, 210445505021354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445505021354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383777843200).

10445505021354 is an abundant number, since it is smaller than the sum of its proper divisors (12322050665046).

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

10445505021354 is a wasteful number, since it uses less digits than its factorization.

10445505021354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876.

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 10445505021354 its reverse (45312050554401), we get a palindrome (55757555575755).

The spelling of 10445505021354 in words is "ten trillion, four hundred forty-five billion, five hundred five million, twenty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 149 251 298 447 502 753 894 1051 1506 1937 2102 3153 3263 3407 3874 5811 6306 6526 6814 9789 10221 11622 13663 19578 20442 27326 37399 40989 44291 74798 81978 88582 112197 132873 156599 224394 263801 265746 313198 469797 486187 507643 527602 791403 855157 939594 972374 1015286 1458561 1522929 1582806 1710314 2035787 2565471 2917122 3045858 3429413 3580757 4071574 5130942 6107361 6599359 6858826 7161514 10288239 10742271 11117041 12214722 13198718 19798077 20576478 21484542 22234082 33351123 39306349 39596154 46549841 66702246 78612698 93099682 117919047 127418393 139649523 235838094 254836786 279299046 382255179 510982537 533532793 764510358 898770007 1021965074 1067065586 1532947611 1600598379 1656439109 1797540014 2696310021 3065895222 3201196758 3312878218 4969317327 5392620042 6935926309 9938634654 11684010091 13871852618 20807778927 23368020182 35052030273 41615557854 70104060546 133916731043 267833462086 401750193129 803500386258 1740917503559 3481835007118 5222752510677 10445505021354