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97453854976 = 2810921792
BaseRepresentation
bin101101011000010110…
…0111101000100000000
3100022112201121202220011
41122300230331010000
53044041141324401
6112434130154304
710016666046112
oct1326054750400
9308481552804
1097453854976
113836a184715
1216a79122994
13926117475a
144a06c3b3b2
152805946451
hex16b0b3d100

97453854976 has 81 divisors (see below), whose sum is σ = 197430987621. Its totient is φ = 48010171392.

The previous prime is 97453854929. The next prime is 97453855021. The reversal of 97453854976 is 67945835479.

The square root of 97453854976 is 312176.

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

It can be written as a sum of positive squares in only one way, i.e., 67924869376 + 29528985600 = 260624^2 + 171840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 544434855 + ... + 544435033.

Almost surely, 297453854976 is an apocalyptic number.

97453854976 is the 312176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97453854976

97453854976 is an abundant number, since it is smaller than the sum of its proper divisors (99977132645).

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

97453854976 is an frugal number, since it uses more digits than its factorization.

97453854976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 290 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 67.

The spelling of 97453854976 in words is "ninety-seven billion, four hundred fifty-three million, eight hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 109 128 179 218 256 358 436 716 872 1432 1744 2864 3488 5728 6976 11456 11881 13952 19511 22912 23762 27904 32041 39022 45824 47524 64082 78044 95048 128164 156088 190096 256328 312176 380192 512656 624352 760384 1025312 1248704 1520768 2050624 2126699 2497408 3041536 3492469 4101248 4253398 4994816 6984938 8202496 8506796 13969876 17013592 27939752 34027184 55879504 68054368 111759008 136108736 223518016 272217472 380679121 447036032 544434944 761358242 894072064 1522716484 3045432968 6090865936 12181731872 24363463744 48726927488 97453854976