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97336512144 = 2432259992
BaseRepresentation
bin101101010100110110…
…1010100111010010000
3100022020112211010210100
41122221231110322100
53043321121342034
6112414335132400
710014042462534
oct1325155247220
9308215733710
1097336512144
1138309a18273
1216a45974100
139242a6b121
1449d5413bc4
1527ea4b8099
hex16a9b54e90

97336512144 has 45 divisors (see below), whose sum is σ = 272417522403. Its totient is φ = 32444256096.

The previous prime is 97336512107. The next prime is 97336512149. The reversal of 97336512144 is 44121563379.

The square root of 97336512144 is 311988.

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

97336512144 is a `hidden beast` number, since 9 + 73 + 365 + 1 + 214 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97336512144.

It is not an unprimeable number, because it can be changed into a prime (97336512149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3730857 + ... + 3756855.

Almost surely, 297336512144 is an apocalyptic number.

97336512144 is the 311988-th square number.

It is an amenable number.

97336512144 is an abundant number, since it is smaller than the sum of its proper divisors (175081010259).

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

97336512144 is an frugal number, since it uses more digits than its factorization.

97336512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52012 (or 26004 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 97336512144 in words is "ninety-seven billion, three hundred thirty-six million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25999 51998 77997 103996 155994 207992 233991 311988 415984 467982 623976 935964 1247952 1871928 3743856 675948001 1351896002 2027844003 2703792004 4055688006 5407584008 6083532009 8111376012 10815168016 12167064018 16222752024 24334128036 32445504048 48668256072 97336512144