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10143163121536 = 271771157941579
BaseRepresentation
bin1001001110011010001110…
…1000100111111110000000
31022220200021110220100121001
42103212203220213332000
52312141144224342121
633323412123341344
72064551015656264
oct223464350477600
938820243810531
1010143163121536
113260767172195
121179990981854
1358765b146263
14270d088a60a4
15128ca86ca991
hex939a3a27f80

10143163121536 has 128 divisors (see below), whose sum is σ = 21711346272000. Its totient is φ = 4702930821120.

The previous prime is 10143163121521. The next prime is 10143163121549. The reversal of 10143163121536 is 63512136134101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101431631215362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10143163121495 and 10143163121504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243928395 + ... + 243969973.

It is an arithmetic number, because the mean of its divisors is an integer number (169619892750).

Almost surely, 210143163121536 is an apocalyptic number.

10143163121536 is a gapful number since it is divisible by the number (16) 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 10143163121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855673136000).

10143163121536 is an abundant number, since it is smaller than the sum of its proper divisors (11568183150464).

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

10143163121536 is a wasteful number, since it uses less digits than its factorization.

10143163121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43260 (or 43248 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 10143163121536 its reverse (63512136134101), we get a palindrome (73655299255637).

The spelling of 10143163121536 in words is "ten trillion, one hundred forty-three billion, one hundred sixty-three million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 272 284 544 568 1088 1136 1207 1579 2176 2272 2414 3158 4544 4828 6316 9088 9656 12632 19312 25264 26843 38624 41579 50528 53686 77248 83158 101056 107372 112109 154496 166316 202112 214744 224218 332632 429488 448436 665264 706843 858976 896872 1330528 1413686 1717952 1793744 1905853 2661056 2827372 2952109 3435904 3587488 3811706 5322112 5654744 5904218 7174976 7623412 11309488 11808436 14349952 15246824 22618976 23616872 30493648 45237952 47233744 50185853 60987296 65653241 90475904 94467488 100371706 121974592 131306482 188934976 200743412 243949184 262612964 377869952 401486824 525225928 802973648 1050451856 1116105097 1605947296 2100903712 2232210194 3211894592 4201807424 4464420388 4661380111 6423789184 8403614848 8928840776 9322760222 17857681552 18645520444 35715363104 37291040888 71430726208 74582081776 79243461887 142861452416 149164163552 158486923774 298328327104 316973847548 596656654208 633947695096 1267895390192 2535790780384 5071581560768 10143163121536