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2320856064 = 210363109
BaseRepresentation
bin1000101001010101…
…0111010000000000
312222202002201000000
42022111113100000
514223114343224
61022144000000
7111340644132
oct21225272000
95882081000
102320856064
11a9107656a
12549300000
132aca98117
1418033b052
15d8b410c9
hex8a557400

2320856064 has 154 divisors (see below), whose sum is σ = 6958223810. Its totient is φ = 773369856.

The previous prime is 2320856053. The next prime is 2320856107. The reversal of 2320856064 is 4606580232.

2320856064 is a `hidden beast` number, since 2 + 32 + 0 + 8 + 560 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1649009664 + 671846400 = 40608^2 + 25920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 744942 + ... + 748050.

Almost surely, 22320856064 is an apocalyptic number.

2320856064 is a gapful number since it is divisible by the number (24) 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 2320856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479111905).

2320856064 is an abundant number, since it is smaller than the sum of its proper divisors (4637367746).

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

2320856064 is an frugal number, since it uses more digits than its factorization.

2320856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2320856064 is about 48175.2640262614. The cubic root of 2320856064 is about 1323.9839965451.

The spelling of 2320856064 in words is "two billion, three hundred twenty million, eight hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3109 3456 3888 4608 5184 5832 6218 6912 7776 9216 9327 10368 11664 12436 13824 15552 18654 20736 23328 24872 27648 27981 31104 37308 41472 46656 49744 55962 62208 74616 82944 83943 93312 99488 111924 124416 149232 167886 186624 198976 223848 248832 251829 298464 335772 373248 397952 447696 503658 596928 671544 746496 755487 795904 895392 1007316 1193856 1343088 1510974 1591808 1790784 2014632 2266461 2387712 2686176 3021948 3183616 3581568 4029264 4532922 4775424 5372352 6043896 7163136 8058528 9065844 9550848 10744704 12087792 14326272 16117056 18131688 21489408 24175584 28652544 32234112 36263376 42978816 48351168 64468224 72526752 85957632 96702336 128936448 145053504 193404672 257872896 290107008 386809344 580214016 773618688 1160428032 2320856064