Search a number
-
+
6064622204640 = 253517373032541
BaseRepresentation
bin101100001000000011110…
…1001101111011011100000
3210110202211221121200101220
41120100013221233123200
51243330321241022030
620522014325055040
71164103664122146
oct130200751573340
923422757550356
106064622204640
111a28aa014824a
1281b445857480
1334cb785acccc
1416d75a4bd596
15a7b4c3b7a10
hex58407a6f6e0

6064622204640 has 96 divisors (see below), whose sum is σ = 19213985409696. Its totient is φ = 1607884400640.

The previous prime is 6064622204611. The next prime is 6064622204653. The reversal of 6064622204640 is 464022264606.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6064622204592 and 6064622204601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36433231 + ... + 36599310.

It is an arithmetic number, because the mean of its divisors is an integer number (200145681351).

Almost surely, 26064622204640 is an apocalyptic number.

6064622204640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6064622204640 is an abundant number, since it is smaller than the sum of its proper divisors (13149363205056).

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

6064622204640 is a wasteful number, since it uses less digits than its factorization.

6064622204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73032732 (or 73032724 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 6064622204640 in words is "six trillion, sixty-four billion, six hundred twenty-two million, two hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 13840 16608 20760 27680 41520 83040 73032541 146065082 219097623 292130164 365162705 438195246 584260328 730325410 876390492 1095488115 1168520656 1460650820 1752780984 2190976230 2337041312 2921301640 3505561968 4381952460 5842603280 7011123936 8763904920 11685206560 12634629593 17527809840 25269259186 35055619680 37903888779 50538518372 63173147965 75807777558 101077036744 126346295930 151615555116 189519443895 202154073488 252692591860 303231110232 379038887790 404308146976 505385183720 606462220464 758077775580 1010770367440 1212924440928 1516155551160 2021540734880 3032311102320 6064622204640