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1669683672 = 233319419923
BaseRepresentation
bin110001110000101…
…0101100111011000
311022100210201102000
41203201111213120
511404414334142
6433403041000
756243035266
oct14341254730
94270721360
101669683672
11787547068
123a7210160
13207bc3607
1411ba73436
159b8b614c
hex638559d8

1669683672 has 128 divisors (see below), whose sum is σ = 5001696000. Its totient is φ = 514356480.

The previous prime is 1669683661. The next prime is 1669683677. The reversal of 1669683672 is 2763869661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669683677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163303 + ... + 173225.

It is an arithmetic number, because the mean of its divisors is an integer number (39075750).

Almost surely, 21669683672 is an apocalyptic number.

1669683672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669683672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500848000).

1669683672 is an abundant number, since it is smaller than the sum of its proper divisors (3332012328).

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

1669683672 is a wasteful number, since it uses less digits than its factorization.

1669683672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9988 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1669683672 is about 40861.7629575622. The cubic root of 1669683672 is about 1186.3460813218.

The spelling of 1669683672 in words is "one billion, six hundred sixty-nine million, six hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 108 114 123 152 164 171 216 228 246 328 342 369 456 492 513 684 738 779 984 1026 1107 1368 1476 1558 2052 2214 2337 2952 3116 4104 4428 4674 6232 7011 8856 9348 9923 14022 18696 19846 21033 28044 29769 39692 42066 56088 59538 79384 84132 89307 119076 168264 178614 188537 238152 267921 357228 377074 406843 535842 565611 714456 754148 813686 1071684 1131222 1220529 1508296 1627372 1696833 2143368 2262444 2441058 3254744 3393666 3661587 4524888 4882116 5090499 6787332 7323174 7730017 9764232 10180998 10984761 13574664 14646348 15460034 20361996 21969522 23190051 29292696 30920068 40723992 43939044 46380102 61840136 69570153 87878088 92760204 139140306 185520408 208710459 278280612 417420918 556561224 834841836 1669683672