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564211310332656 = 243729316491829551
BaseRepresentation
bin1000000001001001011010111…
…0101110110000101011110000
32201222201002000022022222102210
42000102112232232300223300
51042423014230421121111
65315551033040012120
7226561631145332310
oct20022265656605360
92658632008288383
10564211310332656
111538587447a6aa8
1253343b22301040
131b2a8b8a65c2ac
149d47d8a387440
15453666e8200a6
hex20125aebb0af0

564211310332656 has 160 divisors (see below), whose sum is σ = 1723262347008000. Its totient is φ = 155639496499200.

The previous prime is 564211310332613. The next prime is 564211310332711. The reversal of 564211310332656 is 656233013112465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307473081 + ... + 309302631.

It is an arithmetic number, because the mean of its divisors is an integer number (10770389668800).

Almost surely, 2564211310332656 is an apocalyptic number.

564211310332656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564211310332656 is an abundant number, since it is smaller than the sum of its proper divisors (1159051036675344).

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

564211310332656 is a wasteful number, since it uses less digits than its factorization.

564211310332656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861247 (or 1861241 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 564211310332656 in words is "five hundred sixty-four trillion, two hundred eleven billion, three hundred ten million, three hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 31649 63298 94947 126596 189894 221543 253192 379788 443086 506384 664629 759576 886172 917821 1329258 1519152 1772344 1829551 1835642 2658516 2753463 3544688 3659102 3671284 5317032 5488653 5506926 6424747 7318204 7342568 10634064 10977306 11013852 12806857 12849494 14636408 14685136 19274241 21954612 22027704 25613714 25698988 29272816 38420571 38548482 43909224 44055408 51227428 51397976 53056979 76841142 77096964 87818448 102454856 102795952 106113958 153682284 154193928 159170937 204909712 212227916 307364568 308387856 318341874 371398853 424455832 614729136 636683748 742797706 848911664 1114196559 1273367496 1485595412 2228393118 2546734992 2971190824 4456786236 5942381648 8913572472 17827144944 57903459599 115806919198 173710378797 231613838396 347420757594 405324217193 463227676792 694841515188 810648434386 926455353584 1215972651579 1389683030376 1621296868772 1679200328371 2431945303158 2779366060752 3242593737544 3358400656742 4863890606316 5037600985113 6485187475088 6716801313484 9727781212632 10075201970226 11754402298597 13433602626968 19455562425264 20150403940452 23508804597194 26867205253936 35263206895791 40300807880904 47017609194388 70526413791582 80601615761808 94035218388776 141052827583164 188070436777552 282105655166328 564211310332656