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97710290048 = 277239472
BaseRepresentation
bin101101011111111111…
…1001011010010000000
3100100012121011000200102
41122333333023102000
53100102313240143
6112515410341532
710026231522200
oct1327777132200
9310177130612
1097710290048
1138490a03128
1216b2ab8a8a8
1392a232b197
144a2cd10400
15281d1ec0b8
hex16bffcb480

97710290048 has 72 divisors (see below), whose sum is σ = 226495372995. Its totient is φ = 41865229056.

The previous prime is 97710290039. The next prime is 97710290089. The reversal of 97710290048 is 84009201779.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 48855145024 + 48855145024 = 221032^2 + 221032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=221032.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97710289984 and 97710290011.

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, 24753611 + ... + 24757557.

Almost surely, 297710290048 is an apocalyptic number.

97710290048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97710290048

97710290048 is an abundant number, since it is smaller than the sum of its proper divisors (128785082947).

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

97710290048 is an frugal number, since it uses more digits than its factorization.

97710290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 97710290048 in words is "ninety-seven billion, seven hundred ten million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 3947 6272 7894 15788 27629 31576 55258 63152 110516 126304 193403 221032 252608 386806 442064 505216 773612 884128 1547224 1768256 3094448 3536512 6188896 12377792 15578809 24755584 31157618 62315236 109051663 124630472 218103326 249260944 436206652 498521888 763361641 872413304 997043776 1526723282 1744826608 1994087552 3053446564 3489653216 6106893128 6979306432 12213786256 13958612864 24427572512 48855145024 97710290048