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5451970160 = 2457136112277
BaseRepresentation
bin1010001001111011…
…00111011001110000
3112001221211210001202
411010331213121300
542131201021120
62300554350332
7252050660510
oct50475473160
915057753052
105451970160
11234854996a
121081a2b3a8
1368b698260
1439a113840
1521d983875
hex144f67670

5451970160 has 160 divisors (see below), whose sum is σ = 15858068352. Its totient is φ = 1697034240.

The previous prime is 5451970127. The next prime is 5451970171. The reversal of 5451970160 is 610791545.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 437942 + ... + 450218.

Almost surely, 25451970160 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 5451970160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929034176).

5451970160 is an abundant number, since it is smaller than the sum of its proper divisors (10406098192).

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

5451970160 is a wasteful number, since it uses less digits than its factorization.

5451970160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 5451970160 is about 73837.4577027135. The cubic root of 5451970160 is about 1760.0208933470.

The spelling of 5451970160 in words is "five billion, four hundred fifty-one million, nine hundred seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 61 65 70 80 91 104 112 122 130 140 182 208 244 260 280 305 364 427 455 488 520 560 610 728 793 854 910 976 1040 1220 1456 1586 1708 1820 2135 2440 3172 3416 3640 3965 4270 4880 5551 6344 6832 7280 7930 8540 11102 12277 12688 15860 17080 22204 24554 27755 31720 34160 44408 49108 55510 61385 63440 85939 88816 98216 111020 122770 159601 171878 196432 222040 245540 319202 343756 429695 444080 491080 638404 687512 748897 798005 859390 982160 1117207 1276808 1375024 1497794 1596010 1718780 2234414 2553616 2995588 3192020 3437560 3744485 4468828 5242279 5586035 5991176 6384040 6875120 7488970 8937656 9735661 10484558 11172070 11982352 12768080 14977940 17875312 19471322 20969116 22344140 26211395 29955880 38942644 41938232 44688280 48678305 52422790 59911760 68149627 77885288 83876464 89376560 97356610 104845580 136299254 155770576 194713220 209691160 272598508 340748135 389426440 419382320 545197016 681496270 778852880 1090394032 1362992540 2725985080 5451970160