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5057690412560 = 2451913143358661
BaseRepresentation
bin100100110011001010111…
…0101110010011000010000
3122220111210010210201210212
41021212111311302120100
51130331122221200220
614431245414143252
71031256166114562
oct111462565623020
918814703721725
105057690412560
11167aa55425375
1269826a351b28
132a8c271a0466
14136b175d3332
158b86730c0c5
hex49995d72610

5057690412560 has 160 divisors (see below), whose sum is σ = 12501538600320. Its totient is φ = 1897543065600.

The previous prime is 5057690412497. The next prime is 5057690412571. The reversal of 5057690412560 is 652140967505.

It is a junction number, because it is equal to n+sod(n) for n = 5057690412499 and 5057690412508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86189630 + ... + 86248290.

It is an arithmetic number, because the mean of its divisors is an integer number (78134616252).

Almost surely, 25057690412560 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 5057690412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250769300160).

5057690412560 is an abundant number, since it is smaller than the sum of its proper divisors (7443848187760).

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

5057690412560 is a wasteful number, since it uses less digits than its factorization.

5057690412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59257 (or 59251 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 5057690412560 in words is "five trillion, fifty-seven billion, six hundred ninety million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 131 152 190 262 304 380 433 524 655 760 866 1048 1310 1520 1732 2096 2165 2489 2620 3464 4330 4978 5240 6928 8227 8660 9956 10480 12445 16454 17320 19912 24890 32908 34640 39824 41135 49780 56723 58661 65816 82270 99560 113446 117322 131632 164540 199120 226892 234644 283615 293305 329080 453784 469288 567230 586610 658160 907568 938576 1077737 1114559 1134460 1173220 2155474 2229118 2268920 2346440 4310948 4458236 4537840 4692880 5388685 5572795 7684591 8621896 8916472 10777370 11145590 15369182 17243792 17832944 21554740 22291180 25400213 30738364 38422955 43109480 44582360 50800426 61476728 76845910 86218960 89164720 101600852 122953456 127001065 146007229 153691820 203201704 254002130 292014458 307383640 406403408 482604047 508004260 584028916 614767280 730036145 965208094 1016008520 1168057832 1460072290 1930416188 2032017040 2336115664 2413020235 2920144580 3327427903 3860832376 4826040470 5840289160 6654855806 7721664752 9652080940 11680578320 13309711612 16637139515 19304161880 26619423224 33274279030 38608323760 53238846448 63221130157 66548558060 126442260314 133097116120 252884520628 266194232240 316105650785 505769041256 632211301570 1011538082512 1264422603140 2528845206280 5057690412560