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3149801568 = 2532163229293
BaseRepresentation
bin1011101110111110…
…0010100001100000
322010111220111110100
42323233202201200
522422322122233
61240315102400
7141024604644
oct27357424140
98114814410
103149801568
111376a875a1
1273aa41a00
133b2744014
1421c47cc24
151367d4813
hexbbbe2860

3149801568 has 144 divisors (see below), whose sum is σ = 9082447920. Its totient is φ = 1035389952.

The previous prime is 3149801533. The next prime is 3149801579. The reversal of 3149801568 is 8651089413.

3149801568 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 80 + 1 + 568 = 666.

3149801568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10750030 + ... + 10750322.

It is an arithmetic number, because the mean of its divisors is an integer number (63072555).

Almost surely, 23149801568 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 3149801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541223960).

3149801568 is an abundant number, since it is smaller than the sum of its proper divisors (5932646352).

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

3149801568 is a wasteful number, since it uses less digits than its factorization.

3149801568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3149801568 is about 56123.0930010098. The cubic root of 3149801568 is about 1465.8664271827.

The spelling of 3149801568 in words is "three billion, one hundred forty-nine million, eight hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 229 288 293 326 458 489 586 652 687 879 916 978 1172 1304 1374 1467 1758 1832 1956 2061 2344 2608 2637 2748 2934 3516 3664 3912 4122 4688 5216 5274 5496 5868 7032 7328 7824 8244 9376 10548 10992 11736 14064 15648 16488 21096 21984 23472 28128 32976 37327 42192 46944 47759 65952 67097 74654 84384 95518 111981 134194 143277 149308 191036 201291 223962 268388 286554 298616 335943 382072 402582 429831 447924 536776 573108 597232 603873 671886 764144 805164 859662 895848 1073552 1146216 1194464 1207746 1343772 1528288 1610328 1719324 1791696 2147104 2292432 2415492 2687544 3220656 3438648 3583392 4584864 4830984 5375088 6441312 6877296 9661968 10750176 10936811 13754592 19323936 21873622 32810433 43747244 65620866 87494488 98431299 131241732 174988976 196862598 262483464 349977952 393725196 524966928 787450392 1049933856 1574900784 3149801568