Search a number
-
+
93676828639401 = 3272732909850857
BaseRepresentation
bin10101010011001011010110…
…000110000100000010101001
3110021200102021020211212111200
4111103023112012010002221
544234300121112430101
6531122312503514413
725505633066322300
oct2523132606040251
9407612236755450
1093676828639401
1127937135687337
12a60b244458a09
1340368c155a9b7
14191bda8747437
15ac6b38cb9986
hex5532d61840a9

93676828639401 has 36 divisors (see below), whose sum is σ = 159558761947572. Its totient is φ = 52796333931264.

The previous prime is 93676828639307. The next prime is 93676828639417. The reversal of 93676828639401 is 10493682867639.

93676828639401 is a `hidden beast` number, since 9 + 3 + 67 + 6 + 82 + 86 + 3 + 9 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30583609760025 + 63093218879376 = 5530245^2 + 7943124^2 .

It is not a de Polignac number, because 93676828639401 - 219 = 93676828115113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93676828639401.

It is not an unprimeable number, because it can be changed into a prime (93676828639421) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1454893236 + ... + 1454957621.

It is an arithmetic number, because the mean of its divisors is an integer number (4432187831877).

Almost surely, 293676828639401 is an apocalyptic number.

It is an amenable number.

93676828639401 is a deficient number, since it is larger than the sum of its proper divisors (65881933308171).

93676828639401 is a wasteful number, since it uses less digits than its factorization.

93676828639401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909850950 (or 2909850940 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 93676828639401 in words is "ninety-three trillion, six hundred seventy-six billion, eight hundred twenty-eight million, six hundred thirty-nine thousand, four hundred one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 2909850857 8729552571 20368955999 26188657713 61106867997 142582691993 183320603991 212419112561 427748075979 637257337683 1283244227937 1486933787927 1911772013049 4460801363781 10408536515489 13382404091343 31225609546467 93676828639401