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4423495336960 = 21057217631917
BaseRepresentation
bin100000001011110110011…
…0111100100010000000000
3120122212210222212212002011
41000113230313210100000
51034433304301240320
613224043052502304
7634405223656600
oct100275467442000
916585728785064
104423495336960
111455aa2885417
125b537777a994
1326119800770b
14114153ad0c00
157a0ea40a05a
hex405ecde4400

4423495336960 has 132 divisors (see below), whose sum is σ = 12343647361932. Its totient is φ = 1516626886656.

The previous prime is 4423495336951. The next prime is 4423495336993. The reversal of 4423495336960 is 696335943244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1048838160384 + 3374657176576 = 1024128^2 + 1837024^2 .

It is a super-2 number, since 2×44234953369602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4423495336895 and 4423495336904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8565079 + ... + 9066838.

Almost surely, 24423495336960 is an apocalyptic number.

4423495336960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4423495336960 is an abundant number, since it is smaller than the sum of its proper divisors (7920152024972).

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

4423495336960 is a wasteful number, since it uses less digits than its factorization.

4423495336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631956 (or 17631931 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 58.

The spelling of 4423495336960 in words is "four trillion, four hundred twenty-three billion, four hundred ninety-five million, three hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 12544 15680 17920 25088 31360 35840 50176 62720 125440 250880 17631917 35263834 70527668 88159585 123423419 141055336 176319170 246846838 282110672 352638340 493693676 564221344 617117095 705276680 863963933 987387352 1128442688 1234234190 1410553360 1727927866 1974774704 2256885376 2468468380 2821106720 3455855732 3949549408 4319819665 4513770752 4936936760 5642213440 6911711464 7899098816 8639639330 9027541504 9873873520 11284426880 13823422928 15798197632 17279278660 18055083008 19747747040 22568853760 27646845856 31596395264 34558557320 39495494080 45137707520 55293691712 63192790528 69117114640 78990988160 90275415040 110587383424 126385581056 138234229280 157981976320 221174766848 276468458560 315963952640 442349533696 552936917120 631927905280 884699067392 1105873834240 2211747668480 4423495336960