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97776168080 = 2455323060417
BaseRepresentation
bin101101100001111101…
…0011110110010010000
3100100101012002222100112
41123003322132302100
53100221144334310
6112530122340452
710030661500343
oct1330372366220
9310335088315
1097776168080
1138515109288
1216b4905a728
1392b2b85776
144a3797c45a
152823db1705
hex16c3e9ec90

97776168080 has 40 divisors (see below), whose sum is σ = 231618838392. Its totient is φ = 38372532224.

The previous prime is 97776168073. The next prime is 97776168097. The reversal of 97776168080 is 8086167779.

It can be written as a sum of positive squares in 4 ways, for example, as 51018160384 + 46758007696 = 225872^2 + 216236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11525969 + ... + 11534448.

Almost surely, 297776168080 is an apocalyptic number.

It is an amenable number.

97776168080 is an abundant number, since it is smaller than the sum of its proper divisors (133842670312).

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

97776168080 is a wasteful number, since it uses less digits than its factorization.

97776168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23060483 (or 23060477 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 59.

The spelling of 97776168080 in words is "ninety-seven billion, seven hundred seventy-six million, one hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 23060417 46120834 92241668 115302085 184483336 230604170 368966672 461208340 922416680 1222202101 1844833360 2444404202 4888808404 6111010505 9777616808 12222021010 19555233616 24444042020 48888084040 97776168080