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1107065016 = 233323321997
BaseRepresentation
bin100000111111100…
…0111100010111000
32212011010201201000
41001333013202320
54231402040031
6301504125000
736301616541
oct10177074270
92764121630
101107065016
11518a00372
1226a906760
13148485675
14a705b4c8
15672ce3e6
hex41fc78b8

1107065016 has 64 divisors (see below), whose sum is σ = 3088519200. Its totient is φ = 367421184.

The previous prime is 1107064997. The next prime is 1107065017. The reversal of 1107065016 is 6105607011.

1107065016 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 0 + 650 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107065017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39330 + ... + 61326.

Almost surely, 21107065016 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 1107065016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544259600).

1107065016 is an abundant number, since it is smaller than the sum of its proper divisors (1981454184).

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

1107065016 is a wasteful number, since it uses less digits than its factorization.

1107065016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22245 (or 22235 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1107065016 is about 33272.5865540989. The cubic root of 1107065016 is about 1034.4854236869.

The spelling of 1107065016 in words is "one billion, one hundred seven million, sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 4194 5592 6291 8388 12582 16776 21997 25164 43994 50328 65991 87988 131982 175976 197973 263964 395946 527928 593919 791892 1187838 1583784 2375676 4751352 5125301 10250602 15375903 20501204 30751806 41002408 46127709 61503612 92255418 123007224 138383127 184510836 276766254 369021672 553532508 1107065016