Search a number
-
+
109398825432 = 233213231128909
BaseRepresentation
bin110010111100010101…
…1011001100111011000
3101110101012012010220100
41211320223121213120
53243022044403212
6122131312255400
710622001446631
oct1457053314730
9343335163810
10109398825432
114243986a826
1219251541560
13a415aac800
14541b412888
152ca4446bdc
hex1978ad99d8

109398825432 has 144 divisors (see below), whose sum is σ = 321875845200. Its totient is φ = 33551781120.

The previous prime is 109398825421. The next prime is 109398825443. The reversal of 109398825432 is 234528893901.

109398825432 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 98 + 8 + 2 + 543 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (109398825421) and next prime (109398825443).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3769794 + ... + 3798702.

It is an arithmetic number, because the mean of its divisors is an integer number (2235248925).

Almost surely, 2109398825432 is an apocalyptic number.

109398825432 is a gapful number since it is divisible by the number (12) 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 109398825432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160937922600).

109398825432 is an abundant number, since it is smaller than the sum of its proper divisors (212477019768).

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

109398825432 is a wasteful number, since it uses less digits than its factorization.

109398825432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29258 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 109398825432 in words is "one hundred nine billion, three hundred ninety-eight million, eight hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 311 312 338 468 507 622 676 933 936 1014 1244 1352 1521 1866 2028 2488 2799 3042 3732 4043 4056 5598 6084 7464 8086 11196 12129 12168 16172 22392 24258 28909 32344 36387 48516 52559 57818 72774 86727 97032 105118 115636 145548 157677 173454 210236 231272 260181 291096 315354 346908 375817 420472 473031 520362 630708 693816 751634 946062 1040724 1127451 1261416 1503268 1892124 2081448 2254902 3006536 3382353 3784248 4509804 4885621 6764706 8990699 9019608 9771242 13529412 14656863 17981398 19542484 26972097 27058824 29313726 35962796 39084968 43970589 53944194 58627452 71925592 80916291 87941178 107888388 116879087 117254904 161832582 175882356 215776776 233758174 323665164 350637261 351764712 467516348 647330328 701274522 935032696 1051911783 1402549044 1519428131 2103823566 2805098088 3038856262 4207647132 4558284393 6077712524 8415294264 9116568786 12155425048 13674853179 18233137572 27349706358 36466275144 54699412716 109398825432