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6098400307152 = 243242350002133
BaseRepresentation
bin101100010111110010011…
…1110111110011111010000
3210121000001000002002002200
41120233210332332133100
51244404010434312102
620545322203043200
71166411021216136
oct130574476763720
923530030062080
106098400307152
111a41353a9664a
12825ab1b10500
133530cc61350a
141712425d9756
15a8977a3451c
hex58be4fbe7d0

6098400307152 has 30 divisors (see below), whose sum is σ = 17067050860002. Its totient is φ = 2032800102336.

The previous prime is 6098400307121. The next prime is 6098400307177. The reversal of 6098400307152 is 2517030048906.

6098400307152 is a `hidden beast` number, since 6 + 0 + 98 + 400 + 3 + 0 + 7 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3440965640256 + 2657434666896 = 1854984^2 + 1630164^2 .

It is a super-2 number, since 2×60984003071522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6098400307098 and 6098400307107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21175000923 + ... + 21175001210.

It is a 1-persistent number, because it is pandigital, but 2⋅6098400307152 = 12196800614304 is not.

Almost surely, 26098400307152 is an apocalyptic number.

It is an amenable number.

6098400307152 is an abundant number, since it is smaller than the sum of its proper divisors (10968650552850).

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

6098400307152 is a wasteful number, since it uses less digits than its factorization.

6098400307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42350002147 (or 42350002138 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6098400307152 in words is "six trillion, ninety-eight billion, four hundred million, three hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 42350002133 84700004266 127050006399 169400008532 254100012798 338800017064 381150019197 508200025596 677600034128 762300038394 1016400051192 1524600076788 2032800102384 3049200153576 6098400307152