Search a number
-
+
116250912398432 = 2572238443381791
BaseRepresentation
bin11010011011101011000110…
…010101101001110001100000
3120020121110220222000211111002
4122123223012111221301200
5110214123332033222212
61051124533142211132
733325564660315400
oct3233530625516140
9506543828024432
10116250912398432
113404a80a437289
1211056257423aa8
134cb354c737c66
14209c8077a8800
15d68e4663eac2
hex69bac6569c60

116250912398432 has 144 divisors (see below), whose sum is σ = 277844430431232. Its totient is φ = 47649884325120.

The previous prime is 116250912398377. The next prime is 116250912398437. The reversal of 116250912398432 is 234893219052611.

116250912398432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116250912398437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 304297457 + ... + 304679247.

It is an arithmetic number, because the mean of its divisors is an integer number (1929475211328).

Almost surely, 2116250912398432 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 116250912398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138922215215616).

116250912398432 is an abundant number, since it is smaller than the sum of its proper divisors (161593518032800).

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

116250912398432 is a wasteful number, since it uses less digits than its factorization.

116250912398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390281 (or 390266 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 116250912398432 in words is "one hundred sixteen trillion, two hundred fifty billion, nine hundred twelve million, three hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 8443 9016 16886 18032 33772 36064 59101 67544 118202 135088 194189 236404 270176 381791 388378 413707 472808 763582 776756 827414 945616 1359323 1527164 1553512 1654828 1891232 2672537 2718646 3054328 3107024 3309656 5345074 5437292 6108656 6214048 6619312 8781193 9515261 10690148 10874584 12217312 13238624 17562386 18707759 19030522 21380296 21749168 35124772 37415518 38061044 42760592 43498336 61468351 70249544 74831036 76122088 85521184 122936702 140499088 149662072 152244176 245873404 280998176 299324144 304488352 430278457 491746808 598648288 860556914 983493616 1721113828 1966987232 3223461413 3442227656 6446922826 6884455312 12893845652 13768910624 22564229891 25787691304 45128459782 51575382608 74139612499 90256919564 103150765216 148279224998 157949609237 180513839128 296558449996 315899218474 361027678256 518977287493 593116899992 631798436948 722055356512 1037954574986 1186233799984 1263596873896 2075909149972 2372467599968 2527193747792 3632841012451 4151818299944 5054387495584 7265682024902 8303636599888 14531364049804 16607273199776 29062728099608 58125456199216 116250912398432