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1664742924 = 22321337127757
BaseRepresentation
bin110001100111001…
…1111011000001100
311022000111200222100
41203032133120030
511402133233144
6433105115100
756153036625
oct14316373014
94260450870
101664742924
11784781aa9
123a5628a90
13206b837b0
1411b148a4c
159b23c269
hex6339f60c

1664742924 has 144 divisors (see below), whose sum is σ = 4697125888. Its totient is φ = 493807104.

The previous prime is 1664742907. The next prime is 1664742929. The reversal of 1664742924 is 4292474661.

1664742924 is a `hidden beast` number, since 166 + 47 + 429 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1664742924.

It is not an unprimeable number, because it can be changed into a prime (1664742929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2198754 + ... + 2199510.

Almost surely, 21664742924 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 1664742924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348562944).

1664742924 is an abundant number, since it is smaller than the sum of its proper divisors (3032382964).

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

1664742924 is a wasteful number, since it uses less digits than its factorization.

1664742924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1664742924 is about 40801.2613040332. The cubic root of 1664742924 is about 1185.1747560460.

The spelling of 1664742924 in words is "one billion, six hundred sixty-four million, seven hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 127 148 156 222 234 254 333 381 444 468 481 508 666 757 762 962 1143 1332 1443 1514 1524 1651 1924 2271 2286 2886 3028 3302 4329 4542 4572 4699 4953 5772 6604 6813 8658 9084 9398 9841 9906 13626 14097 14859 17316 18796 19682 19812 27252 28009 28194 29523 29718 39364 42291 56018 56388 59046 59436 61087 84027 84582 88569 96139 112036 118092 122174 168054 169164 177138 183261 192278 244348 252081 288417 336108 354276 364117 366522 384556 504162 549783 576834 728234 733044 865251 1008324 1092351 1099566 1153668 1249807 1456468 1730502 2184702 2199132 2499614 3277053 3461004 3557143 3749421 4369404 4999228 6554106 7114286 7498842 10671429 11248263 13108212 14228572 14997684 21342858 22496526 32014287 42685716 44993052 46242859 64028574 92485718 128057148 138728577 184971436 277457154 416185731 554914308 832371462 1664742924