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245073900384 = 253219283315809
BaseRepresentation
bin1110010000111110001…
…0101111001101100000
3212102120121210001211100
43210033202233031200
513003402404303014
6304330240114400
723464105532205
oct3441742571540
9772517701740
10245073900384
1194a31911745
123b5b6905a00
131a158636251
14bc0c4a9cac
15659560e009
hex390f8af360

245073900384 has 144 divisors (see below), whose sum is σ = 733914745200. Its totient is φ = 77359546368.

The previous prime is 245073900367. The next prime is 245073900397. The reversal of 245073900384 is 483009370542.

245073900384 is a `hidden beast` number, since 24 + 507 + 3 + 90 + 0 + 38 + 4 = 666.

245073900384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2450739003842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15494272 + ... + 15510080.

It is an arithmetic number, because the mean of its divisors is an integer number (5096630175).

Almost surely, 2245073900384 is an apocalyptic number.

245073900384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245073900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366957372600).

245073900384 is an abundant number, since it is smaller than the sum of its proper divisors (488840844816).

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

245073900384 is a wasteful number, since it uses less digits than its factorization.

245073900384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18677 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 245073900384 in words is "two hundred forty-five billion, seventy-three million, nine hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 2833 5472 5666 8499 11332 15809 16998 22664 25497 31618 33996 45328 47427 50994 53827 63236 67992 90656 94854 101988 107654 126472 135984 142281 161481 189708 203976 215308 252944 271968 284562 300371 322962 379416 407952 430616 484443 505888 569124 600742 645924 758832 815904 861232 901113 968886 1138248 1201484 1291848 1517664 1722464 1802226 1937772 2276496 2402968 2583696 2703339 3604452 3875544 4552992 4805936 5167392 5406678 7208904 7751088 9611872 10813356 14417808 15502176 21626712 28835616 43253424 44786897 86506848 89573794 134360691 179147588 268721382 358295176 403082073 537442764 716590352 806164146 850951043 1074885528 1433180704 1612328292 1701902086 2149771056 2552853129 3224656584 3403804172 4299542112 5105706258 6449313168 6807608344 7658559387 10211412516 12898626336 13615216688 15317118774 20422825032 27230433376 30634237548 40845650064 61268475096 81691300128 122536950192 245073900384