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93641213031921 = 321312246232
BaseRepresentation
bin10101010010101010001011…
…001111010011010111110001
3110021120000100010210112212100
4111102222023033103113301
544233204201014010141
6531054102425451013
725503232360544052
oct2522521317232761
9407500303715770
1093641213031921
1127923019598295
12a604364940a69
134033436935449
14191a38a590729
15ac5c521870b6
hex552a8b3d35f1

93641213031921 has 27 divisors (see below), whose sum is σ = 136305462925177. Its totient is φ = 61948413763080.

The previous prime is 93641213031829. The next prime is 93641213032001. The reversal of 93641213031921 is 12913031214639.

The square root of 93641213031921 is 9676839.

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

93641213031921 is a `hidden beast` number, since 9 + 36 + 4 + 121 + 303 + 192 + 1 = 666.

It is not a de Polignac number, because 93641213031921 - 211 = 93641213029873 is a prime.

It is a super-2 number, since 2×936412130319212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93641213030921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3802985416 + ... + 3803010038.

Almost surely, 293641213031921 is an apocalyptic number.

93641213031921 is the 9676839-th square number.

93641213031921 is the 4838420-th centered octagonal number.

It is an amenable number.

93641213031921 is a deficient number, since it is larger than the sum of its proper divisors (42664249893256).

93641213031921 is an frugal number, since it uses more digits than its factorization.

93641213031921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49514 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 93641213031921 in words is "ninety-three trillion, six hundred forty-one billion, two hundred thirteen million, thirty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 131 393 1179 17161 24623 51483 73869 154449 221607 3225613 9676839 29030517 422555303 606292129 1267665909 1818876387 3802997727 5456629161 79424268899 238272806697 714818420091 10404579225769 31213737677307 93641213031921