Search a number
-
+
96804899072 = 287192998041
BaseRepresentation
bin101101000101000000…
…1011000100100000000
3100020212111111101202022
41122022001120210000
53041224023232242
6112245504541012
76664626031310
oct1321201304400
9306774441668
1096804899072
1138066929522
1216917921768
139189897a8b
14498498d440
1527b89a80d2
hex168a058900

96804899072 has 144 divisors (see below), whose sum is σ = 240477417600. Its totient is φ = 37948538880.

The previous prime is 96804899069. The next prime is 96804899077. The reversal of 96804899072 is 27099840869.

It is a super-2 number, since 2×968048990722 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96804898996 and 96804899014.

It is not an unprimeable number, because it can be changed into a prime (96804899077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938372 + ... + 1036412.

Almost surely, 296804899072 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 96804899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120238708800).

96804899072 is an abundant number, since it is smaller than the sum of its proper divisors (143672518528).

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

96804899072 is a wasteful number, since it uses less digits than its factorization.

96804899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98112 (or 98098 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 96804899072 in words is "ninety-six billion, eight hundred four million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 128 133 152 203 224 232 256 266 304 406 448 464 532 551 608 812 896 928 1064 1102 1216 1624 1792 1856 2128 2204 2432 3248 3712 3857 4256 4408 4864 6496 7424 7714 8512 8816 12992 15428 17024 17632 25984 30856 34048 35264 51968 61712 70528 98041 123424 141056 196082 246848 392164 493696 686287 784328 987392 1372574 1568656 1862779 2745148 2843189 3137312 3725558 5490296 5686378 6274624 7451116 10980592 11372756 12549248 13039453 14902232 19902323 21961184 22745512 25098496 26078906 29804464 39804646 43922368 45491024 52157812 54020591 59608928 79609292 87844736 90982048 104315624 108041182 119217856 159218584 175689472 181964096 208631248 216082364 238435712 318437168 363928192 378144137 417262496 432164728 476871424 636874336 727856384 756288274 834524992 864329456 1273748672 1512576548 1669049984 1728658912 2547497344 3025153096 3338099968 3457317824 5094994688 6050306192 6914635648 12100612384 13829271296 24201224768 48402449536 96804899072