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51401089106944 = 210376720248639
BaseRepresentation
bin10111010111111101111111…
…01010000100010000000000
320201222220012021111102110221
423223332333222010100000
523214123412302410234
6301153200115232424
713553414622345103
oct1353767752042000
9221886167442427
1051401089106944
1115418096860565
125921a608a8714
13228b142b65615
14c99b7c71873a
155e20d8702eb4
hex2ebfbfa84400

51401089106944 has 88 divisors (see below), whose sum is σ = 107104128350720. Its totient is φ = 24632711110656.

The previous prime is 51401089106881. The next prime is 51401089107019. The reversal of 51401089106944 is 44960198010415.

It is a happy number.

51401089106944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×514010891069442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51401089106891 and 51401089106900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7585824 + ... + 12662815.

Almost surely, 251401089106944 is an apocalyptic number.

It is an amenable number.

51401089106944 is an abundant number, since it is smaller than the sum of its proper divisors (55703039243776).

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

51401089106944 is a wasteful number, since it uses less digits than its factorization.

51401089106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248763 (or 20248745 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 51401089106944 in words is "fifty-one trillion, four hundred one billion, eighty-nine million, one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 256 268 296 512 536 592 1024 1072 1184 2144 2368 2479 4288 4736 4958 8576 9472 9916 17152 18944 19832 34304 37888 39664 68608 79328 158656 317312 634624 1269248 2538496 20248639 40497278 80994556 161989112 323978224 647956448 749199643 1295912896 1356658813 1498399286 2591825792 2713317626 2996798572 5183651584 5426635252 5993597144 10367303168 10853270504 11987194288 20734606336 21706541008 23974388576 43413082016 47948777152 50196376081 86826164032 95897554304 100392752162 173652328064 191795108608 200785504324 347304656128 383590217216 401571008648 694609312256 767180434432 803142017296 1389218624512 1606284034592 3212568069184 6425136138368 12850272276736 25700544553472 51401089106944