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1043136811626 = 2371319389258491
BaseRepresentation
bin11110010110111111100…
…11001001001001101010
310200201111222221111120220
433023133303021021222
5114042321010433001
62115113242030510
7135235621413150
oct17133763111152
93621458844526
101043136811626
11372434598a38
1214a2004a8436
13774a1194650
14386b94713d0
151c203818c36
hexf2dfcc926a

1043136811626 has 128 divisors (see below), whose sum is σ = 2709823334400. Its totient is φ = 259962359040.

The previous prime is 1043136811621. The next prime is 1043136811631. The reversal of 1043136811626 is 6261186313401.

It is an interprime number because it is at equal distance from previous prime (1043136811621) and next prime (1043136811631).

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 (1043136811621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906241 + ... + 4164731.

It is an arithmetic number, because the mean of its divisors is an integer number (21170494800).

Almost surely, 21043136811626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043136811626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354911667200).

1043136811626 is an abundant number, since it is smaller than the sum of its proper divisors (1666686522774).

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

1043136811626 is a wasteful number, since it uses less digits than its factorization.

1043136811626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258924.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1043136811626 in words is "one trillion, forty-three billion, one hundred thirty-six million, eight hundred eleven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 389 399 494 546 741 778 798 1167 1482 1729 2334 2723 3458 5057 5187 5446 7391 8169 10114 10374 14782 15171 16338 22173 30342 35399 44346 51737 70798 96083 103474 106197 155211 192166 212394 258491 288249 310422 516982 576498 672581 775473 1345162 1550946 1809437 2017743 3360383 3618874 4035486 4911329 5428311 6720766 9822658 10081149 10856622 14733987 20162298 23522681 29467974 34379303 47045362 63847277 68758606 70568043 100552999 103137909 127694554 141136086 191541831 201105998 206275818 301658997 383083662 446930939 603317994 703870993 893861878 1307188987 1340792817 1407741986 1910506981 2111612979 2614377974 2681585634 3821013962 3921566961 4223225958 5731520943 7843133922 9150322909 11463041886 13373548867 18300645818 24836590753 26747097734 27450968727 40120646601 49673181506 54901937454 74509772259 80241293202 149019544518 173856135271 347712270542 521568405813 1043136811626