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42626782341 = 321113136724229
BaseRepresentation
bin100111101100110000…
…010001010010000101
311002000201210220110100
4213230300101102011
51144244424013331
631325451514313
73036221446233
oct475460212205
9132021726410
1042626782341
1117094786540
128317758999
134034341a40
1420c53c1953
151197407ae6
hex9ecc11485

42626782341 has 48 divisors (see below), whose sum is σ = 72392261760. Its totient is φ = 23828722560.

The previous prime is 42626782337. The next prime is 42626782343. The reversal of 42626782341 is 14328762624.

It is a happy number.

42626782341 is a `hidden beast` number, since 42 + 6 + 267 + 8 + 2 + 341 = 666.

It is not a de Polignac number, because 42626782341 - 22 = 42626782337 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42626782343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747215 + ... + 1771443.

It is an arithmetic number, because the mean of its divisors is an integer number (1508172120).

Almost surely, 242626782341 is an apocalyptic number.

It is an amenable number.

42626782341 is a deficient number, since it is larger than the sum of its proper divisors (29765479419).

42626782341 is a wasteful number, since it uses less digits than its factorization.

42626782341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25626 (or 25623 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 42626782341 in words is "forty-two billion, six hundred twenty-six million, seven hundred eighty-two thousand, three hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1367 4101 12303 15037 17771 24229 45111 53313 72687 135333 159939 195481 218061 266519 314977 586443 799557 944931 1759329 2398671 2834793 3464747 10394241 31182723 33121043 99363129 298089387 364331473 430573559 1092994419 1291720677 3278983257 3875162031 4736309149 14208927447 42626782341