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97632344208 = 24371941373007
BaseRepresentation
bin101101011101101010…
…1110101100010010000
3100100000011110222002110
41122323111311202100
53044422340003313
6112503543545320
710024264142640
oct1327325654220
9310004428073
1097632344208
1138450a05283
1216b08a5b240
13928c139a99
144a22820520
152816451ec3
hex16bb575890

97632344208 has 160 divisors (see below), whose sum is σ = 310820106240. Its totient is φ = 25782174720.

The previous prime is 97632344203. The next prime is 97632344209. The reversal of 97632344208 is 80244323679.

It is a super-2 number, since 2×976323442082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (97632344203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75241 + ... + 448247.

It is an arithmetic number, because the mean of its divisors is an integer number (1942625664).

Almost surely, 297632344208 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 97632344208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155410053120).

97632344208 is an abundant number, since it is smaller than the sum of its proper divisors (213187762032).

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

97632344208 is a wasteful number, since it uses less digits than its factorization.

97632344208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373085 (or 373079 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 97632344208 in words is "ninety-seven billion, six hundred thirty-two million, three hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 656 779 798 861 912 984 1064 1148 1558 1596 1722 1968 2128 2296 2337 3116 3192 3444 4592 4674 5453 6232 6384 6888 9348 10906 12464 13776 16359 18696 21812 32718 37392 43624 65436 87248 130872 261744 373007 746014 1119021 1492028 2238042 2611049 2984056 4476084 5222098 5968112 7087133 7833147 8952168 10444196 14174266 15293287 15666294 17904336 20888392 21261399 28348532 30586574 31332588 41776784 42522798 45879861 49609931 56697064 61173148 62665176 85045596 91759722 99219862 107053009 113394128 122346296 125330352 148829793 170091192 183519444 198439724 214106018 244692592 290572453 297659586 321159027 340182384 367038888 396879448 428212036 581144906 595319172 642318054 734077776 793758896 856424072 871717359 1162289812 1190638344 1284636108 1712848144 1743434718 2034007171 2324579624 2381276688 2569272216 3486869436 4068014342 4649159248 5138544432 6102021513 6973738872 8136028684 12204043026 13947477744 16272057368 24408086052 32544114736 48816172104 97632344208