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10384359742953 = 327404274077253
BaseRepresentation
bin1001011100011100110000…
…0100101101110111101001
31100202201211212220020120200
42113013030010231313221
52330114132043233303
634030301540142413
72121150054301260
oct227071404556751
940681755806520
1010384359742953
113343a8939a849
1211b8685097a09
135a43193c83a1
1427c86a0455d7
151301c37063a3
hex971cc12dde9

10384359742953 has 24 divisors (see below), whose sum is σ = 17142863370048. Its totient is φ = 5933771616672.

The previous prime is 10384359742949. The next prime is 10384359743053. The reversal of 10384359742953 is 35924795348301.

10384359742953 is a `hidden beast` number, since 1 + 0 + 38 + 4 + 3 + 597 + 4 + 2 + 9 + 5 + 3 = 666.

It is not a de Polignac number, because 10384359742953 - 22 = 10384359742949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10384359742943) 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 23 ways as a sum of consecutive naturals, for example, 508275 + ... + 4585527.

It is an arithmetic number, because the mean of its divisors is an integer number (714285973752).

Almost surely, 210384359742953 is an apocalyptic number.

It is an amenable number.

10384359742953 is a deficient number, since it is larger than the sum of its proper divisors (6758503627095).

10384359742953 is a wasteful number, since it uses less digits than its factorization.

10384359742953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117693 (or 4117690 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 10384359742953 in words is "ten trillion, three hundred eighty-four billion, three hundred fifty-nine million, seven hundred forty-two thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 21 63 40427 121281 282989 363843 848967 2546901 4077253 12231759 28540771 36695277 85622313 256866939 164831107031 494493321093 1153817749217 1483479963279 3461453247651 10384359742953