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10379093756949 = 331920232151573
BaseRepresentation
bin1001011100001001001000…
…1100100100110000010101
31100202020020220000102211000
42113002102030210300111
52330022341000210244
634024031223533513
72120602422201351
oct227022214446025
940666226012730
1010379093756949
1133418269305a5
1211b76555ba299
135a398a41aa38
1427c4ca906461
1512eeb625e169
hex97092324c15

10379093756949 has 16 divisors (see below), whose sum is σ = 16185721259200. Its totient is φ = 6555217109328.

The previous prime is 10379093756947. The next prime is 10379093756989. The reversal of 10379093756949 is 94965739097301.

10379093756949 is a `hidden beast` number, since 1 + 0 + 379 + 0 + 93 + 75 + 69 + 49 = 666.

It is not a de Polignac number, because 10379093756949 - 21 = 10379093756947 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379093756947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10116075274 + ... + 10116076299.

It is an arithmetic number, because the mean of its divisors is an integer number (1011607578700).

Almost surely, 210379093756949 is an apocalyptic number.

10379093756949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10379093756949 is a deficient number, since it is larger than the sum of its proper divisors (5806627502251).

10379093756949 is a wasteful number, since it uses less digits than its factorization.

10379093756949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20232151601 (or 20232151595 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 10379093756949 in words is "ten trillion, three hundred seventy-nine billion, ninety-three million, seven hundred fifty-six thousand, nine hundred forty-nine".

Divisors: 1 3 9 19 27 57 171 513 20232151573 60696454719 182089364157 384410879887 546268092471 1153232639661 3459697918983 10379093756949