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94225842816 = 27374102199
BaseRepresentation
bin101011111000001001…
…1000100001010000000
3100000012202112202200020
41113300103010022000
53020433303432231
6111141534453440
76544001310000
oct1276023041200
9300182482606
1094225842816
1136a63039376
1216318064280
138b684789a1
1447bc240000
1526b7363396
hex15f04c4280

94225842816 has 160 divisors (see below), whose sum is σ = 291987444000. Its totient is φ = 26921405952.

The previous prime is 94225842811. The next prime is 94225842961. The reversal of 94225842816 is 61824852249.

It is not an unprimeable number, because it can be changed into a prime (94225842811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 870885 + ... + 973083.

It is an arithmetic number, because the mean of its divisors is an integer number (1824921525).

Almost surely, 294225842816 is an apocalyptic number.

94225842816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94225842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145993722000).

94225842816 is an abundant number, since it is smaller than the sum of its proper divisors (197761601184).

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

94225842816 is an equidigital number, since it uses as much as digits as its factorization.

94225842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102244 (or 102211 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 94225842816 in words is "ninety-four billion, two hundred twenty-five million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2401 2688 2744 3136 4116 4704 4802 5488 6272 7203 8232 9408 9604 10976 14406 16464 18816 19208 21952 28812 32928 38416 43904 57624 65856 76832 102199 115248 131712 153664 204398 230496 306597 307328 408796 460992 613194 715393 817592 921984 1226388 1430786 1635184 2146179 2452776 2861572 3270368 4292358 4905552 5007751 5723144 6540736 8584716 9811104 10015502 11446288 13081472 15023253 17169432 19622208 20031004 22892576 30046506 34338864 35054257 39244416 40062008 45785152 60093012 68677728 70108514 80124016 91570304 105162771 120186024 137355456 140217028 160248032 210325542 240372048 245379799 274710912 280434056 320496064 420651084 480744096 490759598 560868112 640992128 736139397 841302168 961488192 981519196 1121736224 1472278794 1682604336 1922976384 1963038392 2243472448 2944557588 3365208672 3926076784 4486944896 5889115176 6730417344 7852153568 11778230352 13460834688 15704307136 23556460704 31408614272 47112921408 94225842816