Search a number
-
+
94919696670276 = 2232823219732
BaseRepresentation
bin10101100101010000110110…
…110011010101111001000100
3110110002020022212022120201100
4111211100312303111321010
544420131014321422101
6533513301235100100
725664502366300222
oct2545206663257104
9413066285276640
1094919696670276
1128276243245515
12a7900a6441630
1340c6b7315463a
1419621d02d1b12
15ae912c163e86
hex565436cd5e44

94919696670276 has 81 divisors (see below), whose sum is σ = 240349611643869. Its totient is φ = 31585437342432.

The previous prime is 94919696670269. The next prime is 94919696670287. The reversal of 94919696670276 is 67207669691949.

The square root of 94919696670276 is 9742674.

It is a perfect power (a square), and thus also a powerful number.

94919696670276 is a `hidden beast` number, since 9 + 4 + 9 + 196 + 96 + 6 + 70 + 276 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20414763792900 + 74504932877376 = 4518270^2 + 8631624^2 .

It is a super-2 number, since 2×949196966702762 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 94919696670195 and 94919696670204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48109323226 + ... + 48109325198.

Almost surely, 294919696670276 is an apocalyptic number.

94919696670276 is the 9742674-th square number.

It is an amenable number.

94919696670276 is an abundant number, since it is smaller than the sum of its proper divisors (145429914973593).

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

94919696670276 is an frugal number, since it uses more digits than its factorization.

94919696670276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 3333197952, while the sum is 81.

The spelling of 94919696670276 in words is "ninety-four trillion, nine hundred nineteen billion, six hundred ninety-six million, six hundred seventy thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 823 1646 1973 2469 3292 3946 4938 5919 7407 7892 9876 11838 14814 17757 23676 29628 35514 71028 677329 1354658 1623779 2031987 2709316 3247558 3892729 4063974 4871337 6095961 6495116 7785458 8127948 9742674 11678187 12191922 14614011 15570916 19485348 23356374 24383844 29228022 35034561 46712748 58456044 70069122 140138244 1336370117 2672740234 3203715967 4009110351 5345480468 6407431934 8018220702 9611147901 12027331053 12814863868 16036441404 19222295802 24054662106 28833443703 38444591604 48109324212 57666887406 115333774812 2636658240841 5273316481682 7909974722523 10546632963364 15819949445046 23729924167569 31639898890092 47459848335138 94919696670276