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1676121984 = 2734413943
BaseRepresentation
bin110001111100111…
…1001011110000000
311022210220211010000
41203321321132000
511413041400414
6434153040000
756351542005
oct14371713600
94283824100
101676121984
11790144289
123a93b6000
13209338c74
1411c86b8ac
159c238b09
hex63e79780

1676121984 has 160 divisors (see below), whose sum is σ = 5111069040. Its totient is φ = 544942080.

The previous prime is 1676121977. The next prime is 1676121989. The reversal of 1676121984 is 4891216761.

1676121984 is a `hidden beast` number, since 16 + 7 + 612 + 19 + 8 + 4 = 666.

1676121984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676121989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 423117 + ... + 427059.

Almost surely, 21676121984 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 1676121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555534520).

1676121984 is an abundant number, since it is smaller than the sum of its proper divisors (3434947056).

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

1676121984 is an equidigital number, since it uses as much as digits as its factorization.

1676121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3989 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1676121984 is about 40940.4687809019. The cubic root of 1676121984 is about 1187.8689785104.

The spelling of 1676121984 in words is "one billion, six hundred seventy-six million, one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 3943 4428 5184 5248 5904 6642 7872 7886 8856 10368 11808 11829 13284 15744 15772 17712 23616 23658 26568 31544 35424 35487 47232 47316 53136 63088 70848 70974 94632 106272 106461 126176 141696 141948 161663 189264 212544 212922 252352 283896 319383 323326 378528 425088 425844 484989 504704 567792 638766 646652 757056 851688 969978 1135584 1277532 1293304 1454967 1514112 1703376 1939956 2271168 2555064 2586608 2909934 3406752 3879912 4364901 4542336 5110128 5173216 5819868 6813504 7759824 8729802 10220256 10346432 11639736 13094703 13627008 15519648 17459604 20440512 20692864 23279472 26189406 31039296 34919208 40881024 46558944 52378812 62078592 69838416 93117888 104757624 139676832 186235776 209515248 279353664 419030496 558707328 838060992 1676121984