Search a number
-
+
97778062172 = 22717613367477
BaseRepresentation
bin101101100010000000…
…1101101001101011100
3100100101022200012120002
41123010001231031130
53100222140442142
6112530231113432
710031013546440
oct1330401551534
9310338605502
1097778062172
113851619234a
1216b49812878
1392b339992b
144a37d12820
152824137a32
hex16c406d35c

97778062172 has 48 divisors (see below), whose sum is σ = 210453905088. Its totient is φ = 38793323520.

The previous prime is 97778062097. The next prime is 97778062199. The reversal of 97778062172 is 27126087779.

It is a happy number.

It is a super-2 number, since 2×977780621722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654703 + ... + 1712774.

It is an arithmetic number, because the mean of its divisors is an integer number (4384456356).

Almost surely, 297778062172 is an apocalyptic number.

It is an amenable number.

97778062172 is an abundant number, since it is smaller than the sum of its proper divisors (112675842916).

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

97778062172 is a wasteful number, since it uses less digits than its factorization.

97778062172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367566 (or 3367564 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 56.

The spelling of 97778062172 in words is "ninety-seven billion, seven hundred seventy-eight million, sixty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 854 1037 1708 2074 4148 7259 14518 29036 3367477 6734954 13469908 23572339 47144678 57247109 94289356 114494218 205416097 228988436 400729763 410832194 801459526 821664388 1437912679 1602919052 2875825358 3492073649 5751650716 6984147298 13968294596 24444515543 48889031086 97778062172