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10741236016434 = 23711971237193763
BaseRepresentation
bin1001110001001110001110…
…0011101010010100110010
31102000212000012120022212020
42130103203203222110302
52401441022410011214
634502242233212310
72156012561464140
oct234234343522462
942025005508766
1010741236016434
113471372787140
121255882261096
135cbb8176c791
14291c42c28590
1513960e2844a9
hex9c4e38ea532

10741236016434 has 128 divisors (see below), whose sum is σ = 27081473513472. Its totient is φ = 2758922864640.

The previous prime is 10741236016351. The next prime is 10741236016439. The reversal of 10741236016434 is 43461063214701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10741236016439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55338037 + ... + 55531799.

It is an arithmetic number, because the mean of its divisors is an integer number (211574011824).

Almost surely, 210741236016434 is an apocalyptic number.

10741236016434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10741236016434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540736756736).

10741236016434 is an abundant number, since it is smaller than the sum of its proper divisors (16340237497038).

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

10741236016434 is a wasteful number, since it uses less digits than its factorization.

10741236016434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195120.

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 10741236016434 in words is "ten trillion, seven hundred forty-one billion, two hundred thirty-six million, sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 97 154 194 231 291 462 582 679 1067 1237 1358 2037 2134 2474 3201 3711 4074 6402 7422 7469 8659 13607 14938 17318 22407 25977 27214 40821 44814 51954 81642 95249 119989 190498 193763 239978 285747 359967 387526 571494 581289 719934 839923 1162578 1319879 1356341 1679846 2131393 2519769 2639758 2712682 3959637 4069023 4262786 5039538 6394179 7919274 8138046 9239153 12788358 14919751 18478306 18795011 27717459 29839502 37590022 44759253 55434918 56385033 89518506 112770066 131565077 206745121 239684831 263130154 394695231 413490242 479369662 620235363 719054493 789390462 1240470726 1438108986 1447215847 1677793817 2636533141 2894431694 3355587634 4341647541 5033381451 5273066282 7909599423 8683295082 10066762902 15819198846 18455731987 23249428607 36911463974 46498857214 55367195961 69748285821 110734391922 139496571642 162746000249 255743714677 325492000498 488238000747 511487429354 767231144031 976476001494 1534462288062 1790206002739 3580412005478 5370618008217 10741236016434