Search a number
-
+
5614464615312 = 2437198291060867
BaseRepresentation
bin101000110110011100000…
…1010110100001110010000
3201212201220200200202212110
41101230320022310032100
51213441410420142222
615535125513425320
71116426444546240
oct121547012641620
921781820622773
105614464615312
1118750989a7693
12768154a0b240
13319598676837
14155a54ac7b20
159b0a239b30c
hex51b382b4390

5614464615312 has 160 divisors (see below), whose sum is σ = 17469525529600. Its totient is φ = 1517870098944.

The previous prime is 5614464615307. The next prime is 5614464615317. The reversal of 5614464615312 is 2135164644165.

It is an interprime number because it is at equal distance from previous prime (5614464615307) and next prime (5614464615317).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5614464615317) 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, 4761903 + ... + 5822769.

It is an arithmetic number, because the mean of its divisors is an integer number (109184534560).

Almost surely, 25614464615312 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 5614464615312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734762764800).

5614464615312 is an abundant number, since it is smaller than the sum of its proper divisors (11855060914288).

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

5614464615312 is a wasteful number, since it uses less digits than its factorization.

5614464615312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061733 (or 1061727 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 5614464615312 in words is "five trillion, six hundred fourteen billion, four hundred sixty-four million, six hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 829 912 1064 1596 1658 2128 2487 3192 3316 4974 5803 6384 6632 9948 11606 13264 15751 17409 19896 23212 31502 34818 39792 46424 47253 63004 69636 92848 94506 110257 126008 139272 189012 220514 252016 278544 330771 378024 441028 661542 756048 882056 1060867 1323084 1764112 2121734 2646168 3182601 4243468 5292336 6365202 7426069 8486936 12730404 14852138 16973872 20156473 22278207 25460808 29704276 40312946 44556414 50921616 59408552 60469419 80625892 89112828 118817104 120938838 141095311 161251784 178225656 241877676 282190622 322503568 356451312 423285933 483755352 564381244 846571866 879458743 967510704 1128762488 1693143732 1758917486 2257524976 2638376229 3386287464 3517834972 5276752458 6156211201 6772574928 7035669944 10553504916 12312422402 14071339888 16709716117 18468633603 21107009832 24624844804 33419432234 36937267206 42214019664 49249689608 50129148351 66838864468 73874534412 98499379216 100258296702 116968012819 133677728936 147749068824 200516593404 233936025638 267355457872 295498137648 350904038457 401033186808 467872051276 701808076914 802066373616 935744102552 1403616153828 1871488205104 2807232307656 5614464615312