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55330446168 = 23343715714699
BaseRepresentation
bin110011100001111100…
…111001101101011000
312021211001222220010000
4303201330321231120
51401304043234133
641230215253000
73666066014064
oct634174715530
9167731886100
1055330446168
112151365a168
12a88207a160
1352aa1c949a
14296c64caa4
15168c821413
hexce1f39b58

55330446168 has 160 divisors (see below), whose sum is σ = 160189722000. Its totient is φ = 17829497088.

The previous prime is 55330446167. The next prime is 55330446169. The reversal of 55330446168 is 86164403355.

55330446168 is a `hidden beast` number, since 553 + 30 + 4 + 4 + 6 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (55330446167) and next prime (55330446169).

It is a super-2 number, since 2×553304461682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55330446163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3756883 + ... + 3771581.

Almost surely, 255330446168 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 55330446168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80094861000).

55330446168 is an abundant number, since it is smaller than the sum of its proper divisors (104859275832).

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

55330446168 is a wasteful number, since it uses less digits than its factorization.

55330446168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14911 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 55330446168 in words is "fifty-five billion, three hundred thirty million, four hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 157 162 216 222 296 314 324 333 444 471 628 648 666 888 942 999 1256 1332 1413 1884 1998 2664 2826 2997 3768 3996 4239 5652 5809 5994 7992 8478 11304 11618 11988 12717 14699 16956 17427 23236 23976 25434 29398 33912 34854 44097 46472 50868 52281 58796 69708 88194 101736 104562 117592 132291 139416 156843 176388 209124 264582 313686 352776 396873 418248 470529 529164 543863 627372 793746 941058 1058328 1087726 1190619 1254744 1587492 1631589 1882116 2175452 2307743 2381238 3174984 3263178 3764232 4350904 4615486 4762476 4894767 6526356 6923229 9230972 9524952 9789534 13052712 13846458 14684301 18461944 19579068 20769687 27692916 29368602 39158136 41539374 44052903 55385832 58737204 62309061 83078748 85386491 88105806 117474408 124618122 166157496 170772982 176211612 186927183 249236244 256159473 341545964 352423224 373854366 498472488 512318946 683091928 747708732 768478419 1024637892 1495417464 1536956838 2049275784 2305435257 3073913676 4610870514 6147827352 6916305771 9221741028 13832611542 18443482056 27665223084 55330446168