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292137743953 = 11853143321727
BaseRepresentation
bin1000100000001001100…
…01000011011001010001
31000221001120201001000201
410100010301003121101
514241244230301303
6342112313415201
730051305565136
oct4200461033121
91027046631021
10292137743953
1110299315aa30
124875040a501
1321718cb5cb3
14101d4c9258d
1578ec32181d
hex4404c43651

292137743953 has 16 divisors (see below), whose sum is σ = 319306692096. Its totient is φ = 265071104640.

The previous prime is 292137743939. The next prime is 292137743957. The reversal of 292137743953 is 359347731292.

It is a cyclic number.

It is not a de Polignac number, because 292137743953 - 29 = 292137743441 is a prime.

It is a super-2 number, since 2×2921377439532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 292137743894 and 292137743903.

It is not an unprimeable number, because it can be changed into a prime (292137743957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13434976 + ... + 13456702.

It is an arithmetic number, because the mean of its divisors is an integer number (19956668256).

Almost surely, 2292137743953 is an apocalyptic number.

It is an amenable number.

292137743953 is a deficient number, since it is larger than the sum of its proper divisors (27168948143).

292137743953 is a wasteful number, since it uses less digits than its factorization.

292137743953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24024.

The product of its digits is 8573040, while the sum is 55.

The spelling of 292137743953 in words is "two hundred ninety-two billion, one hundred thirty-seven million, seven hundred forty-three thousand, nine hundred fifty-three".

Divisors: 1 11 853 1433 9383 15763 21727 238997 1222349 13445839 18533131 31134791 203864441 342482701 26557976723 292137743953