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1068564744 = 233313794817
BaseRepresentation
bin111111101100010…
…000000100001000
32202110200201021000
4333230100010020
54142023032434
6254011015000
735323436052
oct7754200410
92673621230
101068564744
114a91a4565
12259a3a460
131404c5640
14a1cb88d2
1563c26b99
hex3fb10108

1068564744 has 128 divisors (see below), whose sum is σ = 3237696000. Its totient is φ = 324559872.

The previous prime is 1068564743. The next prime is 1068564793. The reversal of 1068564744 is 4474658601.

1068564744 is a `hidden beast` number, since 10 + 6 + 8 + 564 + 74 + 4 = 666.

It is a super-2 number, since 2×10685647442 = 2283661224239571072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1068564744.

It is not an unprimeable number, because it can be changed into a prime (1068564743) 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, 219424 + ... + 224240.

It is an arithmetic number, because the mean of its divisors is an integer number (25294500).

Almost surely, 21068564744 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 1068564744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618848000).

1068564744 is an abundant number, since it is smaller than the sum of its proper divisors (2169131256).

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

1068564744 is a wasteful number, since it uses less digits than its factorization.

1068564744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1068564744 is about 32688.9085776812. The cubic root of 1068564744 is about 1022.3515984713.

The spelling of 1068564744 in words is "one billion, sixty-eight million, five hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 104 108 117 156 158 216 234 237 312 316 351 468 474 632 702 711 936 948 1027 1404 1422 1896 2054 2133 2808 2844 3081 4108 4266 4817 5688 6162 8216 8532 9243 9634 12324 14451 17064 18486 19268 24648 27729 28902 36972 38536 43353 55458 57804 62621 73944 86706 110916 115608 125242 130059 173412 187863 221832 250484 260118 346824 375726 380543 500968 520236 563589 751452 761086 1040472 1127178 1141629 1502904 1522172 1690767 2254356 2283258 3044344 3381534 3424887 4508712 4566516 4947059 6763068 6849774 9133032 9894118 10274661 13526136 13699548 14841177 19788236 20549322 27399096 29682354 39576472 41098644 44523531 59364708 82197288 89047062 118729416 133570593 178094124 267141186 356188248 534282372 1068564744