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1664423655606 = 2335915731310631
BaseRepresentation
bin11000001110000111011…
…000010111100010110110
312220010011112202021102000
4120032013120113202312
5204232214423434411
63312343051200130
7231151653432615
oct30160730274266
95803145667360
101664423655606
11591972842478
1222a6b0146046
13c0c53ca950a
145a7b689587c
152d467394956
hex183876178b6

1664423655606 has 128 divisors (see below), whose sum is σ = 3797818444800. Its totient is φ = 540148227840.

The previous prime is 1664423655593. The next prime is 1664423655617. The reversal of 1664423655606 is 6065563244661.

1664423655606 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 23 + 6 + 5 + 5 + 606 = 666.

It is a super-2 number, since 2×16644236556062 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156557911 + ... + 156568541.

It is an arithmetic number, because the mean of its divisors is an integer number (29670456600).

Almost surely, 21664423655606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664423655606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898909222400).

1664423655606 is an abundant number, since it is smaller than the sum of its proper divisors (2133394789194).

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

1664423655606 is a wasteful number, since it uses less digits than its factorization.

1664423655606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 1664423655606 in words is "one trillion, six hundred sixty-four billion, four hundred twenty-three million, six hundred fifty-five thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 118 157 177 313 314 354 471 531 626 939 942 1062 1413 1593 1878 2817 2826 3186 4239 5634 8451 8478 9263 10631 16902 18467 18526 21262 27789 31893 36934 49141 55401 55578 63786 83367 95679 98282 110802 147423 166203 166734 191358 250101 287037 294846 332406 442269 498609 500202 574074 627229 884538 997218 1254458 1326807 1669067 1881687 2653614 2899319 3327503 3338134 3763374 5007201 5645061 5798638 6655006 8697957 9982509 10014402 11290122 15021603 16935183 17395914 19965018 26093871 29947527 30043206 33870366 45064809 52187742 59895054 78281613 89842581 90129618 98474953 156563226 179685162 196322677 196949906 295424859 392645354 522417971 588968031 590849718 886274577 1044835942 1177936062 1567253913 1766904093 1772549154 2658823731 3134507826 3533808186 4701761739 5300712279 5317647462 9403523478 10601424558 14105285217 28210570434 30822660289 61645320578 92467980867 184935961734 277403942601 554807885202 832211827803 1664423655606