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248157272973 = 32377319792351
BaseRepresentation
bin1110011100011101010…
…0110111101110001101
3212201112111200121212010
43213013110313232031
513031211230213343
6310000223331433
723633366005521
oct3470724675615
9781474617763
10248157272973
1196274347155
1240117450b79
131a52a38bc7c
14c021bb5d81
1566c6170d33
hex39c7537b8d

248157272973 has 32 divisors (see below), whose sum is σ = 346030755840. Its totient is φ = 157893454400.

The previous prime is 248157272971. The next prime is 248157272981. The reversal of 248157272973 is 379272751842.

It is not a de Polignac number, because 248157272973 - 21 = 248157272971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248157272971) 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 31 ways as a sum of consecutive naturals, for example, 105552748 + ... + 105555098.

It is an arithmetic number, because the mean of its divisors is an integer number (10813461120).

Almost surely, 2248157272973 is an apocalyptic number.

248157272973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

248157272973 is a deficient number, since it is larger than the sum of its proper divisors (97873482867).

248157272973 is a wasteful number, since it uses less digits than its factorization.

248157272973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129.

The product of its digits is 11854080, while the sum is 57.

The spelling of 248157272973 in words is "two hundred forty-eight billion, one hundred fifty-seven million, two hundred seventy-two thousand, nine hundred seventy-three".

Divisors: 1 3 23 69 773 1979 2319 2351 5937 7053 17779 45517 53337 54073 136551 162219 1529767 1817323 4589301 4652629 5451969 13957887 35184641 41798429 105553923 107010467 125395287 321031401 3596482217 10789446651 82719090991 248157272973