Search a number
-
+
99828905472 = 293239895431
BaseRepresentation
bin101110011111001000…
…1000011011000000000
3100112200020200211200100
41130332101003120000
53113422144433342
6113505531522400
710132565460432
oct1347621033000
9315606624610
1099828905472
11393788a626a
12174205b9400
13954c23618a
144b90444652
1528e41dee4c
hex173e443600

99828905472 has 120 divisors (see below), whose sum is σ = 288238270320. Its totient is φ = 33261834240.

The previous prime is 99828905467. The next prime is 99828905483. The reversal of 99828905472 is 27450982899.

It is a happy number.

99828905472 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 89 + 0 + 547 + 2 = 666.

99828905472 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18378597 + ... + 18384027.

It is an arithmetic number, because the mean of its divisors is an integer number (2401985586).

Almost surely, 299828905472 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 99828905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144119135160).

99828905472 is an abundant number, since it is smaller than the sum of its proper divisors (188409364848).

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

99828905472 is a wasteful number, since it uses less digits than its factorization.

99828905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 99828905472 in words is "ninety-nine billion, eight hundred twenty-eight million, nine hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3989 4608 5431 7978 10862 11967 15956 16293 21724 23934 31912 32586 35901 43448 47868 48879 63824 65172 71802 86896 95736 97758 127648 130344 143604 173792 191472 195516 255296 260688 287208 347584 382944 391032 510592 521376 574416 695168 765888 782064 1021184 1042752 1148832 1390336 1531776 1564128 2042368 2085504 2297664 2780672 3063552 3128256 4171008 4595328 6127104 6256512 8342016 9190656 12513024 18381312 21664259 25026048 43328518 64992777 86657036 129985554 173314072 194978331 259971108 346628144 389956662 519942216 693256288 779913324 1039884432 1386512576 1559826648 2079768864 2773025152 3119653296 4159537728 5546050304 6239306592 8319075456 11092100608 12478613184 16638150912 24957226368 33276301824 49914452736 99828905472