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97444650816 = 2632169174741
BaseRepresentation
bin101101011000000100…
…1110101111101000000
3100022112002022011011100
41122300021311331000
53044031312311231
6112433201014400
710016524602612
oct1326011657500
9308462264140
1097444650816
1138364a68477
1216a76024400
13925c2a11c6
144a05922db2
152804c291e6
hex16b0275f40

97444650816 has 42 divisors (see below), whose sum is σ = 279307499042. Its totient is φ = 32481550080.

The previous prime is 97444650803. The next prime is 97444650833. The reversal of 97444650816 is 61805644479.

97444650816 is a `hidden beast` number, since 9 + 74 + 446 + 50 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56112134400 + 41332516416 = 236880^2 + 203304^2 .

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 5 ways as a sum of consecutive naturals, for example, 84586795 + ... + 84587946.

Almost surely, 297444650816 is an apocalyptic number.

97444650816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97444650816 is an abundant number, since it is smaller than the sum of its proper divisors (181862848226).

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

97444650816 is a wasteful number, since it uses less digits than its factorization.

97444650816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169174759 (or 169174746 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 97444650816 in words is "ninety-seven billion, four hundred forty-four million, six hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 169174741 338349482 507524223 676698964 1015048446 1353397928 1522572669 2030096892 2706795856 3045145338 4060193784 5413591712 6090290676 8120387568 10827183424 12180581352 16240775136 24361162704 32481550272 48722325408 97444650816