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42623433432624 = 24311431877353481
BaseRepresentation
bin10011011000100000010101…
…00110111101111000110000
312120220202112100202122010210
421230100022212331320300
521041320242424320444
6230352533543224120
711656304262224262
oct1154201246757060
9176822470678123
1042623433432624
1112643550a891a0
124944859748040
131aa24ac5942a5
14a74db14c5b32
154ddaeee417b9
hex26c40a9bde30

42623433432624 has 80 divisors (see below), whose sum is σ = 122914087173504. Its totient is φ = 12615815385600.

The previous prime is 42623433432607. The next prime is 42623433432649.

It is a happy number.

42623433432624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 938654037 + ... + 938699444.

Almost surely, 242623433432624 is an apocalyptic number.

42623433432624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42623433432624 is an abundant number, since it is smaller than the sum of its proper divisors (80290653740880).

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

42623433432624 is a wasteful number, since it uses less digits than its factorization.

42623433432624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877353546 (or 1877353540 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 4262343 and 3432624, that added together give a palindrome (7694967).

The spelling of 42623433432624 in words is "forty-two trillion, six hundred twenty-three billion, four hundred thirty-three million, four hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 1877353481 3754706962 5632060443 7509413924 11264120886 15018827848 20650888291 22528241772 30037655696 41301776582 45056483544 61952664873 80726199683 82603553164 90112967088 123905329746 161452399366 165207106328 242178599049 247810659492 322904798732 330414212656 484357198098 495621318984 645809597464 887988196513 968714396196 991242637968 1291619194928 1775976393026 1937428792392 2663964589539 3551952786052 3874857584784 5327929179078 7103905572104 10655858358156 14207811144208 21311716716312 42623433432624