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242873596745 = 51347211314969
BaseRepresentation
bin1110001000110001100…
…1001111101101001001
3212012220021112001122222
43202030121033231021
512434401120043440
6303324040023425
723355430336613
oct3421431175511
9765807461588
10242873596745
11940028a4a8a
123b0a1a61b75
1319b97829630
14ba8018ddb3
1564b73822b5
hex388c64fb49

242873596745 has 48 divisors (see below), whose sum is σ = 323547089040. Its totient is φ = 173971746816.

The previous prime is 242873596733. The next prime is 242873596747. The reversal of 242873596745 is 547695378242.

242873596745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 164748315664 + 78125281081 = 405892^2 + 279509^2 .

It is not a de Polignac number, because 242873596745 - 218 = 242873334601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242873596747) 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 47 ways as a sum of consecutive naturals, for example, 16217621 + ... + 16232589.

It is an arithmetic number, because the mean of its divisors is an integer number (6740564355).

Almost surely, 2242873596745 is an apocalyptic number.

It is an amenable number.

242873596745 is a deficient number, since it is larger than the sum of its proper divisors (80673492295).

242873596745 is a wasteful number, since it uses less digits than its factorization.

242873596745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15194 (or 15147 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 242873596745 in words is "two hundred forty-two billion, eight hundred seventy-three million, five hundred ninety-six thousand, seven hundred forty-five".

Divisors: 1 5 13 47 65 113 235 565 611 1469 2209 3055 5311 7345 11045 14969 26555 28717 69043 74845 143585 194597 249617 345215 703543 972985 1248085 1691497 3245021 3517715 8457485 9146059 16225105 21989461 33066521 45730295 79500359 109947305 165332605 397501795 429864773 1033504667 2149323865 3736516873 5167523335 18682584365 48574719349 242873596745