Search a number
-
+
107753844664 = 23232937717687
BaseRepresentation
bin110010001011010100…
…0010010111110111000
3101022010112212110111201
41210112220102332320
53231134441012124
6121300150503544
710533145365424
oct1442650227670
9338115773451
10107753844664
1141775266394
1218a72664bb4
13a2130580cb
145302b6db84
152c09d10144
hex1916a12fb8

107753844664 has 128 divisors (see below), whose sum is σ = 227171174400. Its totient is φ = 47724526080.

The previous prime is 107753844661. The next prime is 107753844691. The reversal of 107753844664 is 466448357701.

It is a super-2 number, since 2×1077538446642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107753844661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14013829 + ... + 14021515.

It is an arithmetic number, because the mean of its divisors is an integer number (1774774800).

Almost surely, 2107753844664 is an apocalyptic number.

It is an amenable number.

107753844664 is an abundant number, since it is smaller than the sum of its proper divisors (119417329736).

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

107753844664 is a wasteful number, since it uses less digits than its factorization.

107753844664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 107753844664 in words is "one hundred seven billion, seven hundred fifty-three million, eight hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 23 29 37 46 58 71 74 92 116 142 148 184 232 284 296 568 667 851 1073 1334 1633 1702 2059 2146 2627 2668 3266 3404 4118 4292 5254 5336 6532 6808 7687 8236 8584 10508 13064 15374 16472 21016 24679 30748 47357 49358 60421 61496 76183 94714 98716 120842 152366 176801 189428 197432 222923 241684 284419 304732 353602 378856 445846 483368 545777 568838 609464 707204 891692 1091554 1137676 1414408 1752209 1783384 2183108 2275352 3504418 4366216 5127229 6541637 7008836 8248151 10254458 12552871 13083274 14017672 15827533 16496302 20193749 20508916 25105742 26166548 31655066 32992604 40387498 41017832 50211484 52333096 63310132 65985208 80774996 100422968 126620264 161549992 189707473 364033259 379414946 464456227 585618721 728066518 758829892 928912454 1171237442 1456133036 1517659784 1857824908 2342474884 2912266072 3715649816 4684949768 13469230583 26938461166 53876922332 107753844664