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248422411653 = 313292113103951
BaseRepresentation
bin1110011101011100100…
…0010010110110000101
3212202012222121001202020
43213113020102312011
513032232114133103
6310042414233353
723643065441553
oct3472710226605
9782188531666
10248422411653
119639aa7a829
12401901b5859
131a5702a2170
14c0490b2bd3
1566de595753
hex39d7212d85

248422411653 has 32 divisors (see below), whose sum is σ = 369187607040. Its totient is φ = 147532492800.

The previous prime is 248422411639. The next prime is 248422411691. The reversal of 248422411653 is 356114224842.

248422411653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248422411653 - 28 = 248422411397 is a prime.

It is a super-2 number, since 2×2484224116532 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248422411753) 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 in 31 ways as a sum of consecutive naturals, for example, 2337828 + ... + 2441778.

It is an arithmetic number, because the mean of its divisors is an integer number (11537112720).

Almost surely, 2248422411653 is an apocalyptic number.

It is an amenable number.

248422411653 is a deficient number, since it is larger than the sum of its proper divisors (120765195387).

248422411653 is a wasteful number, since it uses less digits than its factorization.

248422411653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106109.

The product of its digits is 368640, while the sum is 42.

The spelling of 248422411653 in words is "two hundred forty-eight billion, four hundred twenty-two million, four hundred eleven thousand, six hundred fifty-three".

Divisors: 1 3 13 29 39 87 377 1131 2113 6339 27469 61277 82407 103951 183831 311853 796601 1351363 2389803 3014579 4054089 9043737 39189527 117568581 219648463 658945389 2855430019 6369805427 8566290057 19109416281 82807470551 248422411653