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3455781648 = 2431123377691
BaseRepresentation
bin1100110111111011…
…0000101100010000
322220211122220012220
43031332300230100
524034140003043
61330525221040
7151431442104
oct31576605420
98824586186
103455781648
1115137759a0
12805401780
13430c56a17
1424ad6b904
151535c5483
hexcdfb0b10

3455781648 has 160 divisors (see below), whose sum is σ = 10438474752. Its totient is φ = 974476800.

The previous prime is 3455781587. The next prime is 3455781649. The reversal of 3455781648 is 8461875543.

3455781648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3455781648.

It is not an unprimeable number, because it can be changed into a prime (3455781649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445483 + ... + 453173.

Almost surely, 23455781648 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 3455781648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219237376).

3455781648 is an abundant number, since it is smaller than the sum of its proper divisors (6982693104).

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

3455781648 is a wasteful number, since it uses less digits than its factorization.

3455781648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7767 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 3455781648 is about 58785.8966759885. The cubic root of 3455781648 is about 1511.8734181985.

The spelling of 3455781648 in words is "three billion, four hundred fifty-five million, seven hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 37 44 46 48 66 69 74 88 92 111 132 138 148 176 184 222 253 264 276 296 368 407 444 506 528 552 592 759 814 851 888 1012 1104 1221 1518 1628 1702 1776 2024 2442 2553 3036 3256 3404 4048 4884 5106 6072 6512 6808 7691 9361 9768 10212 12144 13616 15382 18722 19536 20424 23073 28083 30764 37444 40848 46146 56166 61528 74888 84601 92292 112332 123056 149776 169202 176893 184584 224664 253803 284567 338404 353786 369168 449328 507606 530679 569134 676808 707572 853701 1015212 1061358 1138268 1353616 1415144 1707402 1945823 2030424 2122716 2276536 2830288 3130237 3414804 3891646 4060848 4245432 4553072 5837469 6260474 6545041 6829608 7783292 8490864 9390711 11674938 12520948 13090082 13659216 15566584 18781422 19635123 23349876 25041896 26180164 31133168 37562844 39270246 46699752 50083792 52360328 71995451 75125688 78540492 93399504 104720656 143990902 150251376 157080984 215986353 287981804 314161968 431972706 575963608 863945412 1151927216 1727890824 3455781648