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96305220072 = 23325326395959
BaseRepresentation
bin101100110110000111…
…1010000100111101000
3100012120200021002000200
41121230033100213220
53034213114020242
6112124135032200
76646350602235
oct1315417204750
9305520232020
1096305220072
113792a871276
12167b850b660
13910a1c5b29
14493847c78c
152789ba504c
hex166c3d09e8

96305220072 has 96 divisors (see below), whose sum is σ = 266761123200. Its totient is φ = 31375963008.

The previous prime is 96305220071. The next prime is 96305220127. The reversal of 96305220072 is 27002250369.

96305220072 is a `hidden beast` number, since 9 + 63 + 0 + 522 + 0 + 0 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96305220071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955629 + ... + 1051587.

It is an arithmetic number, because the mean of its divisors is an integer number (2778761700).

Almost surely, 296305220072 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 96305220072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380561600).

96305220072 is an abundant number, since it is smaller than the sum of its proper divisors (170455903128).

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

96305220072 is a wasteful number, since it uses less digits than its factorization.

96305220072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96287 (or 96280 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 96305220072 in words is "ninety-six billion, three hundred five million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 263 318 424 477 526 636 789 954 1052 1272 1578 1908 2104 2367 3156 3816 4734 6312 9468 13939 18936 27878 41817 55756 83634 95959 111512 125451 167268 191918 250902 287877 334536 383836 501804 575754 767672 863631 1003608 1151508 1727262 2303016 3454524 5085827 6909048 10171654 15257481 20343308 25237217 30514962 40686616 45772443 50474434 61029924 75711651 91544886 100948868 122059848 151423302 183089772 201897736 227134953 302846604 366179544 454269906 605693208 908539812 1337572501 1817079624 2675145002 4012717503 5350290004 8025435006 10700580008 12038152509 16050870012 24076305018 32101740024 48152610036 96305220072