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146521385076 = 2231113952315269
BaseRepresentation
bin1000100001110101011…
…0101110100001110100
3112000012022211120021210
42020131112232201310
54400033433310301
6151151101441420
713404636136533
oct2103526564164
9460168746253
10146521385076
1157159558290
1224491870270
1310a8098c831
14713d79c31a
153c284e8ad6
hex221d5ae874

146521385076 has 96 divisors (see below), whose sum is σ = 376389619200. Its totient is φ = 43993825920.

The previous prime is 146521385041. The next prime is 146521385099. The reversal of 146521385076 is 670583125641.

146521385076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9588370 + ... + 9603638.

It is an arithmetic number, because the mean of its divisors is an integer number (3920725200).

Almost surely, 2146521385076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146521385076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188194809600).

146521385076 is an abundant number, since it is smaller than the sum of its proper divisors (229868234124).

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

146521385076 is a wasteful number, since it uses less digits than its factorization.

146521385076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 146521385076 in words is "one hundred forty-six billion, five hundred twenty-one million, three hundred eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 523 556 834 1046 1529 1569 1668 2092 3058 3138 4587 5753 6116 6276 9174 11506 15269 17259 18348 23012 30538 34518 45807 61076 69036 72697 91614 145394 167959 183228 218091 290788 335918 436182 503877 671836 799667 872364 1007754 1599334 2015508 2122391 2399001 3198668 4244782 4798002 6367173 7985687 8489564 9596004 12734346 15971374 23346301 23957061 25468692 31942748 46692602 47914122 70038903 87842557 93385204 95828244 140077806 175685114 263527671 280155612 351370228 527055342 1054110684 1110010493 2220020986 3330031479 4440041972 6660062958 12210115423 13320125916 24420230846 36630346269 48840461692 73260692538 146521385076