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5376756960640 = 275131439449093
BaseRepresentation
bin100111000111101111110…
…1100000100110110000000
3201001000100102210202111101
41032033133230010312000
51201043044240220030
615234014213424144
71063313023042042
oct116173754046600
921030312722441
105376756960640
1117932a715041a
1272a07503b054
1330004519a080
14148344a73a92
1594cdd7ed7ca
hex4e3dfb04d80

5376756960640 has 128 divisors (see below), whose sum is σ = 13852214611200. Its totient is φ = 1983880077312.

The previous prime is 5376756960611. The next prime is 5376756960677. The reversal of 5376756960640 is 460696576735.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11747934 + ... + 12197026.

It is an arithmetic number, because the mean of its divisors is an integer number (108220426650).

Almost surely, 25376756960640 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 5376756960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926107305600).

5376756960640 is an abundant number, since it is smaller than the sum of its proper divisors (8475457650560).

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

5376756960640 is a wasteful number, since it uses less digits than its factorization.

5376756960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450564 (or 450552 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 64.

The spelling of 5376756960640 in words is "five trillion, three hundred seventy-six billion, seven hundred fifty-six million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1439 1664 2080 2878 4160 5756 7195 8320 11512 14390 18707 23024 28780 37414 46048 57560 74828 92096 93535 115120 149656 184192 187070 230240 299312 374140 449093 460480 598624 748280 898186 920960 1197248 1496560 1796372 2245465 2394496 2993120 3592744 4490930 5838209 5986240 7185488 8981860 11676418 11972480 14370976 17963720 23352836 28741952 29191045 35927440 46705672 57483904 58382090 71854880 93411344 116764180 143709760 186822688 233528360 287419520 373645376 467056720 646244827 747290752 934113440 1292489654 1868226880 2584979308 3231224135 3736453760 5169958616 6462448270 8401182751 10339917232 12924896540 16802365502 20679834464 25849793080 33604731004 41359668928 42005913755 51699586160 67209462008 82719337856 84011827510 103399172320 134418924016 168023655020 206798344640 268837848032 336047310040 413596689280 537675696064 672094620080 1075351392128 1344189240160 2688378480320 5376756960640