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248992297137 = 354124991699
BaseRepresentation
bin1110011111100100011…
…0001111000010110001
3212210200200221020200000
43213321012033002301
513034414012002022
6310215133020213
723663155414353
oct3477106170261
9783620836600
10248992297137
119666272a171
124030b024669
131a6313858cc
14c0a0a5b0d3
1567246156ac
hex39f918f0b1

248992297137 has 24 divisors (see below), whose sum is σ = 382073109600. Its totient is φ = 161946203040.

The previous prime is 248992297133. The next prime is 248992297171. The reversal of 248992297137 is 731792299842.

248992297137 is a `hidden beast` number, since 248 + 9 + 92 + 297 + 13 + 7 = 666.

It is not a de Polignac number, because 248992297137 - 22 = 248992297133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248992297133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12485887 + ... + 12505812.

It is an arithmetic number, because the mean of its divisors is an integer number (15919712900).

Almost surely, 2248992297137 is an apocalyptic number.

248992297137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

248992297137 is a deficient number, since it is larger than the sum of its proper divisors (133080812463).

248992297137 is an equidigital number, since it uses as much as digits as its factorization.

248992297137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24991755 (or 24991743 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 248992297137 in words is "two hundred forty-eight billion, nine hundred ninety-two million, two hundred ninety-seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 41 81 123 243 369 1107 3321 9963 24991699 74975097 224925291 674775873 1024659659 2024327619 3073978977 6072982857 9221936931 27665810793 82997432379 248992297137