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42573300426 = 232231011278017
BaseRepresentation
bin100111101001100100…
…010000001011001010
311001220000011202001200
4213221210100023022
51144142231103201
631320301325030
73035002040256
oct475144201312
9131800152050
1042573300426
1117067577808
128301866776
134026237837
1420bc25d266
151192891386
hex9e99102ca

42573300426 has 96 divisors (see below), whose sum is σ = 97983295488. Its totient is φ = 13332211200.

The previous prime is 42573300373. The next prime is 42573300439. The reversal of 42573300426 is 62400337524.

42573300426 is a `hidden beast` number, since 42 + 573 + 3 + 0 + 0 + 42 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5306370 + ... + 5314386.

It is an arithmetic number, because the mean of its divisors is an integer number (1020659328).

Almost surely, 242573300426 is an apocalyptic number.

42573300426 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42573300426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48991647744).

42573300426 is an abundant number, since it is smaller than the sum of its proper divisors (55409995062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42573300426 is a wasteful number, since it uses less digits than its factorization.

42573300426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 42573300426 in words is "forty-two billion, five hundred seventy-three million, three hundred thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 101 127 138 202 207 254 303 381 414 606 762 909 1143 1818 2286 2323 2921 4646 5842 6969 8017 8763 12827 13938 16034 17526 20907 24051 25654 26289 38481 41814 48102 52578 72153 76962 115443 144306 184391 230886 295021 368782 553173 590042 809717 885063 1018159 1106346 1619434 1659519 1770126 2036318 2429151 2655189 3054477 3319038 4858302 5310378 6108954 7287453 9163431 14574906 18326862 18623491 23417657 37246982 46835314 55870473 70252971 102834059 111740946 140505942 167611419 205668118 210758913 308502177 335222838 421517826 617004354 925506531 1851013062 2365183357 4730366714 7095550071 14191100142 21286650213 42573300426