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3146858064 = 2432730710169
BaseRepresentation
bin1011101110010001…
…0011111001010000
322010022100221201200
42323210103321100
522421043424224
61240132031200
7140660565210
oct27344237120
98108327650
103146858064
111375357049
12739a62500
133b1c532bc
1421bd14240
151364025c9
hexbb913e50

3146858064 has 120 divisors (see below), whose sum is σ = 10098728640. Its totient is φ = 896085504.

The previous prime is 3146858059. The next prime is 3146858089. The reversal of 3146858064 is 4608586413.

3146858064 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 8 + 580 + 64 = 666.

3146858064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 304372 + ... + 314540.

It is an arithmetic number, because the mean of its divisors is an integer number (84156072).

Almost surely, 23146858064 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 3146858064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049364320).

3146858064 is an abundant number, since it is smaller than the sum of its proper divisors (6951870576).

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

3146858064 is a wasteful number, since it uses less digits than its factorization.

3146858064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3146858064 is about 56096.8632278134. The cubic root of 3146858064 is about 1465.4096652398.

The spelling of 3146858064 in words is "three billion, one hundred forty-six million, eight hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 307 336 504 614 921 1008 1228 1842 2149 2456 2763 3684 4298 4912 5526 6447 7368 8596 10169 11052 12894 14736 17192 19341 20338 22104 25788 30507 34384 38682 40676 44208 51576 61014 71183 77364 81352 91521 103152 122028 142366 154728 162704 183042 213549 244056 284732 309456 366084 427098 488112 569464 640647 732168 854196 1138928 1281294 1464336 1708392 2562588 3121883 3416784 5125176 6243766 9365649 10250352 12487532 18731298 21853181 24975064 28096947 37462596 43706362 49950128 56193894 65559543 74925192 87412724 112387788 131119086 149850384 174825448 196678629 224775576 262238172 349650896 393357258 449551152 524476344 786714516 1048952688 1573429032 3146858064