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161377403328 = 2633313012571
BaseRepresentation
bin1001011001001011010…
…1111100000111000000
3120102112200001111011000
42112102311330013000
510121000103401303
6202045153452000
714442040203231
oct2262265740700
9512480044130
10161377403328
1162492378719
1227338b71000
13122aa73608b
147b4c823088
1542e786bda3
hex2592d7c1c0

161377403328 has 112 divisors (see below), whose sum is σ = 489723704320. Its totient is φ = 52057209600.

The previous prime is 161377403323. The next prime is 161377403371. The reversal of 161377403328 is 823304773161.

161377403328 is a `hidden beast` number, since 1 + 613 + 7 + 7 + 4 + 0 + 3 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161377403321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452718 + ... + 1559853.

Almost surely, 2161377403328 is an apocalyptic number.

161377403328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

161377403328 is an abundant number, since it is smaller than the sum of its proper divisors (328346300992).

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

161377403328 is a wasteful number, since it uses less digits than its factorization.

161377403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012623 (or 3012607 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 161377403328 in words is "one hundred sixty-one billion, three hundred seventy-seven million, four hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 3012571 6025142 9037713 12050284 18075426 24100568 27113139 36150852 48201136 54226278 72301704 81339417 93389701 96402272 108452556 144603408 162678834 186779402 192804544 216905112 280169103 289206816 325357668 373558804 433810224 560338206 578413632 650715336 747117608 840507309 867620448 1120676412 1301430672 1494235216 1681014618 1735240896 2241352824 2521521927 2602861344 2988470432 3362029236 4482705648 5043043854 5205722688 5976940864 6724058472 8965411296 10086087708 13448116944 17930822592 20172175416 26896233888 40344350832 53792467776 80688701664 161377403328