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6020615656116 = 22322321492121761
BaseRepresentation
bin101011110011100100010…
…1010000101001010110100
3210022120021001112101120100
41113213020222011022310
51242120210101443431
620445455504034100
71160655316461645
oct127471052051264
923276231471510
106020615656116
111a11368642a86
12812a04002930
13348984455499
1416b583b756cc
15a6923cb54e6
hex579c8a852b4

6020615656116 has 108 divisors (see below), whose sum is σ = 16016014368900. Its totient is φ = 1906732354560.

The previous prime is 6020615656079. The next prime is 6020615656129. The reversal of 6020615656116 is 6116565160206.

6020615656116 is a `hidden beast` number, since 6 + 0 + 20 + 6 + 1 + 5 + 6 + 5 + 611 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 562131060516 + 5458484595600 = 749754^2 + 2336340^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1776676 + ... + 3898436.

Almost surely, 26020615656116 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 6020615656116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008007184450).

6020615656116 is an abundant number, since it is smaller than the sum of its proper divisors (9995398712784).

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

6020615656116 is a wasteful number, since it uses less digits than its factorization.

6020615656116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121966 (or 2121938 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6020615656116 in words is "six trillion, twenty billion, six hundred fifteen million, six hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 529 596 828 894 1058 1341 1587 1788 2116 2682 3174 3427 4761 5364 6348 6854 9522 10281 13708 19044 20562 30843 41124 61686 78821 123372 157642 236463 315284 472926 709389 945852 1418778 2121761 2837556 4243522 6365283 8487044 12730566 19095849 25461132 38191698 48800503 76383396 97601006 146401509 195202012 292803018 316142389 439204527 585606036 632284778 878409054 948427167 1122411569 1264569556 1756818108 1896854334 2244823138 2845281501 3367234707 3793708668 4489646276 5690563002 6734469414 7271274947 10101704121 11381126004 13468938828 14542549894 20203408242 21813824841 29085099788 40406816484 43627649682 65441474523 87255299364 130882949046 167239323781 261765898092 334478647562 501717971343 668957295124 1003435942686 1505153914029 2006871885372 3010307828058 6020615656116