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146063355264 = 2732127999133
BaseRepresentation
bin1000100000001000001…
…1011110110110000000
3111222000101222020111200
42020002003132312000
54343114204332024
6151033420341200
713360405014621
oct2100203366600
9458011866450
10146063355264
1156a43a57752
12243843a4800
1310a09b10c88
1470d8a0da48
153bed1c12c9
hex22020ded80

146063355264 has 96 divisors (see below), whose sum is σ = 420645388800. Its totient is φ = 48649227264.

The previous prime is 146063355259. The next prime is 146063355299. The reversal of 146063355264 is 462553360641.

146063355264 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 6 + 33 + 552 + 64 = 666.

146063355264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423842 + ... + 1522974.

It is an arithmetic number, because the mean of its divisors is an integer number (4381722800).

Almost surely, 2146063355264 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 146063355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210322694400).

146063355264 is an abundant number, since it is smaller than the sum of its proper divisors (274582033536).

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

146063355264 is a wasteful number, since it uses less digits than its factorization.

146063355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100432 (or 100417 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 146063355264 in words is "one hundred forty-six billion, sixty-three million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1279 2558 3837 5116 7674 10232 11511 15348 20464 23022 30696 40928 46044 61392 81856 92088 99133 122784 163712 184176 198266 245568 297399 368352 396532 491136 594798 736704 793064 892197 1189596 1473408 1586128 1784394 2379192 3172256 3568788 4758384 6344512 7137576 9516768 12689024 14275152 19033536 28550304 38067072 57100608 114201216 126791107 253582214 380373321 507164428 760746642 1014328856 1141119963 1521493284 2028657712 2282239926 3042986568 4057315424 4564479852 6085973136 8114630848 9128959704 12171946272 16229261696 18257919408 24343892544 36515838816 48687785088 73031677632 146063355264