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42495591957 = 37131931475623
BaseRepresentation
bin100111100100111011…
…110100011000010101
311001200120221202002020
4213210323310120111
51144012332420312
631304444003353
73033036400050
oct474473643025
9131616852066
1042495591957
1117027721235
12829b830559
1340130ca4b0
1420b1bd1a97
15118ab4178c
hex9e4ef4615

42495591957 has 128 divisors (see below), whose sum is σ = 77400637440. Its totient is φ = 20109669120.

The previous prime is 42495591949. The next prime is 42495591967. The reversal of 42495591957 is 75919559424.

It is a happy number.

It is not a de Polignac number, because 42495591957 - 23 = 42495591949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42495591957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42495591947) 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 127 ways as a sum of consecutive naturals, for example, 7554648 + ... + 7560270.

It is an arithmetic number, because the mean of its divisors is an integer number (604692480).

Almost surely, 242495591957 is an apocalyptic number.

42495591957 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

42495591957 is a deficient number, since it is larger than the sum of its proper divisors (34905045483).

42495591957 is a wasteful number, since it uses less digits than its factorization.

42495591957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743.

The product of its digits is 20412000, while the sum is 60.

The spelling of 42495591957 in words is "forty-two billion, four hundred ninety-five million, five hundred ninety-one thousand, nine hundred fifty-seven".

Divisors: 1 3 7 13 19 21 31 39 47 57 91 93 133 141 217 247 273 329 399 403 589 611 651 741 893 987 1209 1457 1729 1767 1833 2679 2821 4123 4277 4371 5187 5623 6251 7657 8463 10199 11609 12369 12831 16869 18753 18941 22971 27683 30597 34827 39361 53599 56823 73099 81263 83049 106837 118083 132587 160797 174313 193781 219297 243789 264281 320511 359879 397761 511693 522939 581343 747859 792843 1079637 1220191 1388881 1535079 1849967 2243577 2266069 2519153 3311947 3435653 3660573 4166643 5021339 5549901 6798207 7557459 8192711 9722167 9935841 10306959 15064017 15862483 23183629 24049571 24578133 29166501 35149373 43055311 47587449 57348977 65277407 69550887 72148713 105448119 106505243 129165933 155661509 172046931 195832221 301387177 319515729 456941849 466984527 745536701 904161531 1089630563 1370825547 2023599617 2236610103 3268891689 6070798851 14165197319 42495591957