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97428882496 = 2611235472
BaseRepresentation
bin101101010111100110…
…1101100010001000000
3100022110222122001002111
41122233031230101000
53044013243214441
6112431435025104
710016243560051
oct1325715542100
9308428561074
1097428882496
1138357078500
1216a7089b194
139258c3cc3a
144a037ba728
152803662081
hex16af36c440

97428882496 has 63 divisors (see below), whose sum is σ = 212569130487. Its totient is φ = 44273370240.

The previous prime is 97428882457. The next prime is 97428882521. The reversal of 97428882496 is 69428882479.

The square root of 97428882496 is 312136.

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

97428882496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 27466195 + ... + 27469741.

Almost surely, 297428882496 is an apocalyptic number.

97428882496 is the 312136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97428882496

97428882496 is an abundant number, since it is smaller than the sum of its proper divisors (115140247991).

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

97428882496 is an frugal number, since it uses more digits than its factorization.

97428882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 3560 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 67.

It can be divided in two parts, 974288 and 82496, that added together give a square (1056784 = 10282).

The spelling of 97428882496 in words is "ninety-seven billion, four hundred twenty-eight million, eight hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3547 3872 7094 7744 14188 28376 39017 56752 78034 113504 156068 227008 312136 429187 624272 858374 1248544 1716748 2497088 3433496 6866992 12581209 13733984 25162418 27467968 50324836 100649672 138393299 201299344 276786598 402598688 553573196 805197376 1107146392 1522326289 2214292784 3044652578 4428585568 6089305156 8857171136 12178610312 24357220624 48714441248 97428882496