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3679026228144 = 2433193114458853
BaseRepresentation
bin110101100010010111000…
…011010010101110110000
3111000201012122220200002000
4311202113003102232300
5440234121203300034
611454042112054000
7526541461651521
oct65422703225660
914021178820060
103679026228144
1111992a2437123
124b502a534300
13208c13939247
14ca0cc874848
1565a77330599
hex358970d2bb0

3679026228144 has 160 divisors (see below), whose sum is σ = 11474546534400. Its totient is φ = 1124320331520.

The previous prime is 3679026228133. The next prime is 3679026228161. The reversal of 3679026228144 is 4418226209763.

It is a happy number.

3679026228144 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 0 + 2 + 622 + 8 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6974979 + ... + 7483874.

It is an arithmetic number, because the mean of its divisors is an integer number (71715915840).

Almost surely, 23679026228144 is an apocalyptic number.

It is an amenable number.

3679026228144 is an abundant number, since it is smaller than the sum of its proper divisors (7795520306256).

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

3679026228144 is a wasteful number, since it uses less digits than its factorization.

3679026228144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14458920 (or 14458908 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3679026228144 in words is "three trillion, six hundred seventy-nine billion, twenty-six million, two hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 372 432 456 496 513 558 589 684 744 837 912 1026 1116 1178 1368 1488 1674 1767 2052 2232 2356 2736 3348 3534 4104 4464 4712 5301 6696 7068 8208 9424 10602 13392 14136 15903 21204 28272 31806 42408 63612 84816 127224 254448 14458853 28917706 43376559 57835412 86753118 115670824 130129677 173506236 231341648 260259354 274718207 347012472 390389031 448224443 520518708 549436414 694024944 780778062 824154621 896448886 1041037416 1098872828 1344673329 1561556124 1648309242 1792897772 2082074832 2197745656 2472463863 2689346658 3123112248 3296618484 3585795544 4034019987 4395491312 4944927726 5378693316 6246224496 6593236968 7171591088 7417391589 8068039974 8516264417 9889855452 10757386632 12102059961 13186473936 14834783178 16136079948 17032528834 19779710904 21514773264 24204119922 25548793251 29669566356 32272159896 34065057668 39559421808 48408239844 51097586502 59339132712 64544319792 68130115336 76646379753 96816479688 102195173004 118678265424 136260230672 153292759506 193632959376 204390346008 229939139259 306585519012 408780692016 459878278518 613171038024 919756557036 1226342076048 1839513114072 3679026228144