Search a number
-
+
97354809415883 = 3121932719672003
BaseRepresentation
bin10110001000101100101110…
…110101010001100011001011
3110202201000210001120002111202
4112020230232311101203023
5100230030122202302013
6543020103152214415
726335436635151105
oct2610545665214313
9422630701502452
1097354809415883
1129024a40976118
12ab0402083a40b
134242699704996
141a07dd83dc575
15b3c64e43b858
hex588b2ed518cb

97354809415883 has 48 divisors (see below), whose sum is σ = 101646623536128. Its totient is φ = 93237182438400.

The previous prime is 97354809415823. The next prime is 97354809415891. The reversal of 97354809415883 is 38851490845379.

It is not a de Polignac number, because 97354809415883 - 210 = 97354809414859 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97354809415883.

It is not an unprimeable number, because it can be changed into a prime (97354809415823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48604496960 + ... + 48604498962.

It is an arithmetic number, because the mean of its divisors is an integer number (2117637990336).

Almost surely, 297354809415883 is an apocalyptic number.

97354809415883 is a deficient number, since it is larger than the sum of its proper divisors (4291814120245).

97354809415883 is a wasteful number, since it uses less digits than its factorization.

97354809415883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 74.

The spelling of 97354809415883 in words is "ninety-seven trillion, three hundred fifty-four billion, eight hundred nine million, four hundred fifteen thousand, eight hundred eighty-three".

Divisors: 1 31 193 271 961 967 2003 5983 8401 29977 52303 62093 185473 186631 260431 262057 386579 542813 929287 1621393 1924883 1936901 5785561 8123767 11983949 16827203 50263183 50577001 60043931 104762909 179352391 251836777 371502419 373821893 521643293 524900171 1567887031 1861361861 3247650179 11588478683 16271905301 48604497961 100677155549 101305733003 359242839173 504429064331 3140477723093 97354809415883