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1119196064 = 25721937567
BaseRepresentation
bin100001010110101…
…1001001110100000
32212222222001101002
41002231121032200
54243003233224
6303020131132
736510003200
oct10255311640
92788861332
101119196064
11524836628
12272996aa8
1314ab421bc
14a88d8400
15683c89ae
hex42b593a0

1119196064 has 72 divisors (see below), whose sum is σ = 2698133760. Its totient is φ = 454398336.

The previous prime is 1119196061. The next prime is 1119196129. The reversal of 1119196064 is 4606919111.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1119196061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11009 + ... + 48575.

It is an arithmetic number, because the mean of its divisors is an integer number (37474080).

Almost surely, 21119196064 is an apocalyptic number.

1119196064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1119196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349066880).

1119196064 is an abundant number, since it is smaller than the sum of its proper divisors (1578937696).

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

1119196064 is a wasteful number, since it uses less digits than its factorization.

1119196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37610 (or 37595 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 1119196064 is about 33454.3878138578. The cubic root of 1119196064 is about 1038.2502827429.

The spelling of 1119196064 in words is "one billion, one hundred nineteen million, one hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 37567 75134 150268 262969 300536 525938 601072 713773 1051876 1202144 1427546 1840783 2103752 2855092 3681566 4207504 4996411 5710184 7363132 8415008 9992822 11420368 14726264 19985644 22840736 29452528 34974877 39971288 58905056 69949754 79942576 139899508 159885152 279799016 559598032 1119196064