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86744032452 = 2232711295310597
BaseRepresentation
bin101000011001001011…
…0001110010011000100
322021220100012102022200
41100302112032103010
52410122433014302
6103503305354500
76160412052540
oct1206226162304
9267810172280
1086744032452
1133873821520
121498a498a30
1382453b906c
1442ac704a20
1523ca5c581c
hex143258e4c4

86744032452 has 144 divisors (see below), whose sum is σ = 273493514112. Its totient is φ = 22521162240.

The previous prime is 86744032439. The next prime is 86744032471. The reversal of 86744032452 is 25423044768.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86744032398 and 86744032407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8180418 + ... + 8191014.

Almost surely, 286744032452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86744032452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136746757056).

86744032452 is an abundant number, since it is smaller than the sum of its proper divisors (186749481660).

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

86744032452 is a wasteful number, since it uses less digits than its factorization.

86744032452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 86744032452 in words is "eighty-six billion, seven hundred forty-four million, thirty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 2953 5906 8859 10597 11812 17718 20671 21194 26577 31791 32483 35436 41342 42388 53154 62013 63582 64966 74179 82684 95373 97449 106308 116567 124026 127164 129932 148358 186039 190746 194898 222537 227381 233134 248052 292347 296716 349701 372078 381492 389796 445074 454762 466268 584694 667611 682143 699402 744156 815969 890148 909524 1049103 1169388 1335222 1364286 1398804 1631938 2046429 2098206 2447907 2670444 2728572 3263876 4092858 4196412 4895814 7343721 8185716 9791628 14687442 29374884 31292941 62585882 93878823 125171764 187757646 219050587 281636469 344222351 375515292 438101174 563272938 657151761 688444702 876202348 1032667053 1126545876 1314303522 1376889404 1971455283 2065334106 2409556457 2628607044 3098001159 3942910566 4130668212 4819112914 6196002318 7228669371 7885821132 9638225828 12392004636 14457338742 21686008113 28914677484 43372016226 86744032452