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146157008649056 = 25191117215210221
BaseRepresentation
bin100001001110110111010100…
…100101001111101101100000
3201011111110210020020212102122
4201032313110211033231200
5123124114023203232211
61234503334114203412
742533331632222546
oct4116672445175540
9634443706225378
10146157008649056
114262a926093599
121448625a583568
136372715363562
1428140735d9d96
1511d6d2c4ca6db
hex84edd494fb60

146157008649056 has 48 divisors (see below), whose sum is σ = 303162335526960. Its totient is φ = 69170286389760.

The previous prime is 146157008649023. The next prime is 146157008649073. The reversal of 146157008649056 is 650946800751641.

It is a happy number.

146157008649056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1461570086490562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146157008649056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106925975 + ... + 108284246.

It is an arithmetic number, because the mean of its divisors is an integer number (6315881990145).

Almost surely, 2146157008649056 is an apocalyptic number.

146157008649056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146157008649056 is an abundant number, since it is smaller than the sum of its proper divisors (157005326877904).

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

146157008649056 is a wasteful number, since it uses less digits than its factorization.

146157008649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215211367 (or 215211359 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 146157008649056 in words is "one hundred forty-six trillion, one hundred fifty-seven billion, eight million, six hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1117 2234 4468 8936 17872 21223 35744 42446 84892 169784 339568 679136 215210221 430420442 860840884 1721681768 3443363536 4088994199 6886727072 8177988398 16355976796 32711953592 65423907184 130847814368 240389816857 480779633714 961559267428 1923118534856 3846237069712 4567406520283 7692474139424 9134813040566 18269626081132 36539252162264 73078504324528 146157008649056