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10000148378377 is a prime number
BaseRepresentation
bin1001000110000101011101…
…0010101011001100001001
31022102000010112102122200211
42101201113102223030021
52302320300441102002
633134001005201121
72051325666501313
oct221412722531411
938360115378624
1010000148378377
113206048068983
1211561195601a1
13577018b0a291
1426801cb147b3
151251d7ea1dd7
hex918574ab309

10000148378377 has 2 divisors, whose sum is σ = 10000148378378. Its totient is φ = 10000148378376.

The previous prime is 10000148378371. The next prime is 10000148378393. The reversal of 10000148378377 is 77387384100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5796975951481 + 4203172426896 = 2407691^2 + 2050164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000148378377 is a prime.

It is a super-2 number, since 2×100001483783772 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10000148378377.

It is not a weakly prime, because it can be changed into another prime (10000148378371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000074189188 + 5000074189189.

It is an arithmetic number, because the mean of its divisors is an integer number (5000074189189).

Almost surely, 210000148378377 is an apocalyptic number.

It is an amenable number.

10000148378377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000148378377 is an equidigital number, since it uses as much as digits as its factorization.

10000148378377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 10000148378377 in words is "ten trillion, one hundred forty-eight million, three hundred seventy-eight thousand, three hundred seventy-seven".