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9899412432 = 24371322310163
BaseRepresentation
bin10010011100000110…
…10000101111010000
3221112220111020220220
421032003100233100
5130233222144212
64314150433040
7500213421510
oct111603205720
927486436826
109899412432
11421aa62098
121b03362780
13c19bcc3c0
1469ca5b840
153ce13e38c
hex24e0d0bd0

9899412432 has 160 divisors (see below), whose sum is σ = 31619309568. Its totient is φ = 2598870528.

The previous prime is 9899412431. The next prime is 9899412521. The reversal of 9899412432 is 2342149989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9899412431) 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, 968983 + ... + 979145.

Almost surely, 29899412432 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 9899412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809654784).

9899412432 is an abundant number, since it is smaller than the sum of its proper divisors (21719897136).

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

9899412432 is a wasteful number, since it uses less digits than its factorization.

9899412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417 (or 10411 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 9899412432 is about 99495.7910265555. The cubic root of 9899412432 is about 2147.1866886112.

The spelling of 9899412432 in words is "nine billion, eight hundred ninety-nine million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 223 273 312 336 364 446 546 624 669 728 892 1092 1338 1456 1561 1784 2184 2676 2899 3122 3568 4368 4683 5352 5798 6244 8697 9366 10163 10704 11596 12488 17394 18732 20293 20326 23192 24976 30489 34788 37464 40586 40652 46384 60879 60978 69576 71141 74928 81172 81304 121758 121956 132119 139152 142282 162344 162608 213423 243516 243912 264238 284564 324688 396357 426846 487032 487824 528476 569128 792714 853692 924833 974064 1056952 1138256 1585428 1707384 1849666 2113904 2266349 2774499 3170856 3414768 3699332 4532698 5548998 6341712 6799047 7398664 9065396 11097996 13598094 14797328 15864443 18130792 22195992 27196188 29462537 31728886 36261584 44391984 47593329 54392376 58925074 63457772 88387611 95186658 108784752 117850148 126915544 176775222 190373316 206237759 235700296 253831088 353550444 380746632 412475518 471400592 618713277 707100888 761493264 824951036 1237426554 1414201776 1649902072 2474853108 3299804144 4949706216 9899412432