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2030931968 = 2121343887
BaseRepresentation
bin111100100001101…
…1001000000000000
312020112120000220112
41321003121000000
513124404310333
6533305530452
7101220431312
oct17103310000
95215500815
102030931968
1195245427a
124881a3a28
132649b75c0
14153a2b7b2
15bd472948
hex790d9000

2030931968 has 104 divisors (see below), whose sum is σ = 4480542528. Its totient is φ = 914522112.

The previous prime is 2030931953. The next prime is 2030932027. The reversal of 2030931968 is 8691390302.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2289221 + ... + 2290107.

Almost surely, 22030931968 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 2030931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240271264).

2030931968 is an abundant number, since it is smaller than the sum of its proper divisors (2449610560).

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

2030931968 is an equidigital number, since it uses as much as digits as its factorization.

2030931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 2030931968 is about 45065.8625569288. The cubic root of 2030931968 is about 1266.3831555076.

The spelling of 2030931968 in words is "two billion, thirty million, nine hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 887 1024 1118 1376 1664 1774 2048 2236 2752 3328 3548 4096 4472 5504 6656 7096 8944 11008 11531 13312 14192 17888 22016 23062 26624 28384 35776 38141 44032 46124 53248 56768 71552 76282 88064 92248 113536 143104 152564 176128 184496 227072 286208 305128 368992 454144 495833 572416 610256 737984 908288 991666 1144832 1220512 1475968 1816576 1983332 2289664 2441024 2951936 3633152 3966664 4882048 5903872 7933328 9764096 11807744 15866656 19528192 23615488 31733312 39056384 47230976 63466624 78112768 126933248 156225536 253866496 507732992 1015465984 2030931968