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1215665664 = 29353109137
BaseRepresentation
bin100100001110101…
…1001011000000000
310010201111012210020
41020131121120000
54442202300124
6320343533440
742060662523
oct11035313000
93121435706
101215665664
11574236674
1229b15a280
13164b1aac5
14b764abba
1571ad2379
hex48759600

1215665664 has 160 divisors (see below), whose sum is σ = 3354294240. Its totient is φ = 391053312.

The previous prime is 1215665663. The next prime is 1215665683. The reversal of 1215665664 is 4665665121.

Its product of digits (259200) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215665663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8873404 + ... + 8873540.

It is an arithmetic number, because the mean of its divisors is an integer number (20964339).

Almost surely, 21215665664 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 1215665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677147120).

1215665664 is an abundant number, since it is smaller than the sum of its proper divisors (2138628576).

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

1215665664 is a wasteful number, since it uses less digits than its factorization.

1215665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1215665664 is about 34866.3973475896. The cubic root of 1215665664 is about 1067.2628278539.

The spelling of 1215665664 in words is "one billion, two hundred fifteen million, six hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 109 128 137 159 192 212 218 256 274 318 327 384 411 424 436 512 548 636 654 768 822 848 872 1096 1272 1308 1536 1644 1696 1744 2192 2544 2616 3288 3392 3488 4384 5088 5232 5777 6576 6784 6976 7261 8768 10176 10464 11554 13152 13568 13952 14522 14933 17331 17536 20352 20928 21783 23108 26304 27136 27904 29044 29866 34662 35072 40704 41856 43566 44799 46216 52608 55808 58088 59732 69324 70144 81408 83712 87132 89598 92432 105216 116176 119464 138648 167424 174264 179196 184864 210432 232352 238928 277296 348528 358392 369728 464704 477856 554592 697056 716784 739456 791449 929408 955712 1109184 1394112 1433568 1478912 1582898 1858816 1911424 2218368 2374347 2788224 2867136 2957824 3165796 3717632 3822848 4436736 4748694 5576448 5734272 6331592 7645696 8873472 9497388 11152896 11468544 12663184 18994776 22937088 25326368 37989552 50652736 75979104 101305472 151958208 202610944 303916416 405221888 607832832 1215665664