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2755325127408 = 243741610132783
BaseRepresentation
bin101000000110000110001…
…011001110101011110000
3100202101222100022220211220
4220012012023032223300
5330120401213034113
65505440123505040
7403031345104110
oct50060613165360
910671870286756
102755325127408
11972588226577
12386000988180
1316ca97a87899
149750381b040
154ba141a5523
hex281862ceaf0

2755325127408 has 160 divisors (see below), whose sum is σ = 8334798538752. Its totient is φ = 767885568000.

The previous prime is 2755325127403. The next prime is 2755325127463. The reversal of 2755325127408 is 8047215235572.

It is a super-2 number, since 2×27553251274082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755325127403) 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, 84030985 + ... + 84063767.

Almost surely, 22755325127408 is an apocalyptic number.

2755325127408 is a gapful number since it is divisible by the number (28) 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 2755325127408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167399269376).

2755325127408 is an abundant number, since it is smaller than the sum of its proper divisors (5579473411344).

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

2755325127408 is a wasteful number, since it uses less digits than its factorization.

2755325127408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38943 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 2755325127408 in words is "two trillion, seven hundred fifty-five billion, three hundred twenty-five million, one hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6101 6888 12202 13776 18303 24404 32783 36606 42707 48808 65566 73212 85414 97616 98349 128121 131132 146424 170828 196698 229481 250141 256242 262264 292848 341656 393396 458962 500282 512484 524528 683312 688443 750423 786792 917924 1000564 1024968 1344103 1376886 1500846 1573584 1750987 1835848 2001128 2049936 2688206 2753772 3001692 3501974 3671696 4002256 4032309 5252961 5376412 5507544 6003384 7003948 8064618 9408721 10505922 10752824 11015088 12006768 14007896 16129236 18817442 21011844 21505648 28015792 28226163 32258472 37634884 42023688 56452326 64516944 75269768 84047376 112904652 150539536 200009083 225809304 400018166 451618608 600027249 800036332 1200054498 1400063581 1600072664 2400108996 2800127162 3200145328 4200190743 4800217992 5600254324 8200372403 8400381486 9600435984 11200508648 16400744806 16800762972 22401017296 24601117209 32801489612 33601525944 49202234418 57402606821 65602979224 67203051888 98404468836 114805213642 131205958448 172207820463 196808937672 229610427284 344415640926 393617875344 459220854568 688831281852 918441709136 1377662563704 2755325127408