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451780748016 = 243132433128621
BaseRepresentation
bin1101001001100000011…
…10110010001011110000
31121012010101011220122220
412210300032302023300
524400221332414031
6543313433201040
744432355665643
oct6446016621360
91535111156586
10451780748016
111646654aa824
1273684560180
13337ab2ba300
1417c1b1d7a5a
15bb42792596
hex69303b22f0

451780748016 has 120 divisors (see below), whose sum is σ = 1266711644016. Its totient is φ = 138687344640.

The previous prime is 451780748009. The next prime is 451780748039. The reversal of 451780748016 is 610847087154.

It is a self number, because there is not a number n which added to its sum of digits gives 451780748016.

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 23 ways as a sum of consecutive naturals, for example, 3448186 + ... + 3576806.

Almost surely, 2451780748016 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 451780748016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633355822008).

451780748016 is an abundant number, since it is smaller than the sum of its proper divisors (814930896000).

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

451780748016 is a wasteful number, since it uses less digits than its factorization.

451780748016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129091 (or 129072 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 451780748016 in words is "four hundred fifty-one billion, seven hundred eighty million, seven hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 433 507 624 676 866 1014 1299 1352 1732 2028 2598 2704 3464 4056 5196 5629 6928 8112 10392 11258 16887 20784 22516 33774 45032 67548 73177 90064 128621 135096 146354 219531 257242 270192 292708 385863 439062 514484 585416 771726 878124 1028968 1170832 1543452 1672073 1756248 2057936 3086904 3344146 3512496 5016219 6173808 6688292 10032438 13376584 20064876 21736949 26753168 40129752 43473898 55692893 65210847 80259504 86947796 111385786 130421694 167078679 173895592 222771572 260843388 334157358 347791184 445543144 521686776 668314716 724007609 891086288 1043373552 1336629432 1448015218 2172022827 2673258864 2896030436 4344045654 5792060872 8688091308 9412098917 11584121744 17376182616 18824197834 28236296751 34752365232 37648395668 56472593502 75296791336 112945187004 150593582672 225890374008 451780748016