Search a number
-
+
96153311232 = 2113211474241
BaseRepresentation
bin101100110001100101…
…1110001100000000000
3100012012002102022021100
41121203023301200000
53033410221424412
6112101111054400
76642524442306
oct1314313614000
9305162368240
1096153311232
1137862045980
1216775671400
1390b48a9144
144922218276
15277b699edc
hex16632f1800

96153311232 has 144 divisors (see below), whose sum is σ = 302955274440. Its totient is φ = 29137305600.

The previous prime is 96153311167. The next prime is 96153311237. The reversal of 96153311232 is 23211335169.

96153311232 is a `hidden beast` number, since 9 + 6 + 1 + 533 + 112 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96153311237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34369 + ... + 439872.

Almost surely, 296153311232 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 96153311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151477637220).

96153311232 is an abundant number, since it is smaller than the sum of its proper divisors (206801963208).

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

96153311232 is a wasteful number, since it uses less digits than its factorization.

96153311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474280 (or 474257 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The spelling of 96153311232 in words is "ninety-six billion, one hundred fifty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 5632 6144 6336 8448 9216 11264 12672 16896 18432 22528 25344 33792 50688 67584 101376 202752 474241 948482 1422723 1896964 2845446 3793928 4268169 5216651 5690892 7587856 8536338 10433302 11381784 15175712 15649953 17072676 20866604 22763568 30351424 31299906 34145352 41733208 45527136 46949859 60702848 62599812 68290704 83466416 91054272 93899718 121405696 125199624 136581408 166932832 182108544 187799436 242811392 250399248 273162816 333865664 364217088 375598872 485622784 500798496 546325632 667731328 728434176 751197744 971245568 1001596992 1092651264 1335462656 1456868352 1502395488 2003193984 2185302528 2670925312 2913736704 3004790976 4006387968 4370605056 5341850624 6009581952 8012775936 8741210112 10683701248 12019163904 16025551872 24038327808 32051103744 48076655616 96153311232