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97632457152 = 263796436739
BaseRepresentation
bin101101011101101011…
…0010001000111000000
3100100000011200201000120
41122323112101013000
53044422402112102
6112503550220240
710024265123136
oct1327326210700
9310004621016
1097632457152
1138450a8211a
1216b08ab4680
13928c179309
144a2284d756
1528164756bc
hex16bb5911c0

97632457152 has 56 divisors (see below), whose sum is σ = 261589113600. Its totient is φ = 32132196096.

The previous prime is 97632457123. The next prime is 97632457157. The reversal of 97632457152 is 25175423679.

It is a super-2 number, since 2×976324571522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97632457095 and 97632457104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97632457157) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3203202 + ... + 3233537.

Almost surely, 297632457152 is an apocalyptic number.

It is an amenable number.

97632457152 is an abundant number, since it is smaller than the sum of its proper divisors (163956656448).

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

97632457152 is a wasteful number, since it uses less digits than its factorization.

97632457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436833 (or 6436823 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 97632457152 in words is "ninety-seven billion, six hundred thirty-two million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 6436739 12873478 19310217 25746956 38620434 51493912 77240868 102987824 154481736 205975648 308963472 411951296 508502381 617926944 1017004762 1235853888 1525507143 2034009524 3051014286 4068019048 6102028572 8136038096 12204057144 16272076192 24408114288 32544152384 48816228576 97632457152