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742720485744 = 243279317205957
BaseRepresentation
bin10101100111011011001…
…01110011100101110000
32122000002110121221002200
422303231211303211300
544132042421020434
61325111233343200
7104442206651436
oct12635545634560
92560073557080
10742720485744
11266a93395966
12bbb3b707b00
1355066029483
1427d3ad18d56
15144be81e199
hexaced973970

742720485744 has 120 divisors (see below), whose sum is σ = 2111547322560. Its totient is φ = 243667367424.

The previous prime is 742720485719. The next prime is 742720485781. The reversal of 742720485744 is 447584027247.

742720485744 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 20 + 48 + 574 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3503214 + ... + 3709170.

It is an arithmetic number, because the mean of its divisors is an integer number (17596227688).

Almost surely, 2742720485744 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 742720485744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055773661280).

742720485744 is an abundant number, since it is smaller than the sum of its proper divisors (1368826836816).

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

742720485744 is a wasteful number, since it uses less digits than its factorization.

742720485744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206367 (or 206358 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 54.

The spelling of 742720485744 in words is "seven hundred forty-two billion, seven hundred twenty million, four hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 317 474 632 634 711 948 951 1264 1268 1422 1896 1902 2536 2844 2853 3792 3804 5072 5688 5706 7608 11376 11412 15216 22824 25043 45648 50086 75129 100172 150258 200344 205957 225387 300516 400688 411914 450774 601032 617871 823828 901548 1202064 1235742 1647656 1803096 1853613 2471484 3295312 3606192 3707226 4942968 7414452 9885936 14828904 16270603 29657808 32541206 48811809 65082412 65288369 97623618 130164824 130576738 146435427 195247236 195865107 260329648 261153476 292870854 390494472 391730214 522306952 585741708 587595321 780988944 783460428 1044613904 1171483416 1175190642 1566920856 2342966832 2350381284 3133841712 4700762568 5157781151 9401525136 10315562302 15473343453 20631124604 30946686906 41262249208 46420030359 61893373812 82524498416 92840060718 123786747624 185680121436 247573495248 371360242872 742720485744