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2059447689342 = 2331789157160553
BaseRepresentation
bin11101111110000000101…
…001011110000001111110
321021212210110011100221000
4131332000221132001332
5232220222102024332
64214032555151130
7301535014345431
oct35760051360176
97255713140830
102059447689342
1172445259275a
12293174a454a6
1311c288752404
147196bc51818
1538886ed2b7c
hex1df80a5e07e

2059447689342 has 128 divisors (see below), whose sum is σ = 4931448220800. Its totient is φ = 634768662528.

The previous prime is 2059447689319. The next prime is 2059447689371. The reversal of 2059447689342 is 2439867449502.

2059447689342 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 447 + 68 + 93 + 42 = 666.

It is a super-2 number, since 2×20594476893422 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2059447689342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12746938 + ... + 12907490.

It is an arithmetic number, because the mean of its divisors is an integer number (38526939225).

Almost surely, 22059447689342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059447689342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465724110400).

2059447689342 is an abundant number, since it is smaller than the sum of its proper divisors (2872000531458).

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

2059447689342 is a wasteful number, since it uses less digits than its factorization.

2059447689342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160827 (or 160821 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2059447689342 in words is "two trillion, fifty-nine billion, four hundred forty-seven million, six hundred eighty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 89 102 153 157 178 267 306 314 459 471 534 801 918 942 1413 1513 1602 2403 2669 2826 3026 4239 4539 4806 5338 8007 8478 9078 13617 13973 16014 24021 27234 27946 40851 41919 48042 72063 81702 83838 125757 144126 160553 237541 251514 321106 377271 475082 481659 712623 754542 963318 1425246 1444977 2137869 2729401 2889954 4275738 4334931 5458802 6413607 8188203 8669862 12827214 14289217 16376406 24564609 25206821 28578434 42867651 49129218 50413642 73693827 75620463 85735302 128602953 147387654 151240926 226861389 242916689 257205906 385808859 428515957 453722778 485833378 680584167 728750067 771617718 857031914 1285547871 1361168334 1457500134 2186250201 2243407069 2571095742 3856643613 4372500402 4486814138 6558750603 6730221207 7713287226 11569930839 13117501206 13460442414 20190663621 23139861678 38137920173 40381327242 60571990863 76275840346 114413760519 121143981726 228827521038 343241281557 686482563114 1029723844671 2059447689342