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1676280831872 = 27175397114969
BaseRepresentation
bin11000011001001010000…
…111111001111110000000
312221020202220010020102112
4120121022013321332000
5204431010343104442
63322023415434452
7232051541655623
oct30311207717600
95836686106375
101676280831872
115969a79134a9
12230a5b085a28
13c20c368564a
145b1bd535dba
152d90d302082
hex1864a1f9f80

1676280831872 has 128 divisors (see below), whose sum is σ = 3606571202400. Its totient is φ = 773105582080.

The previous prime is 1676280831871. The next prime is 1676280831941. The reversal of 1676280831872 is 2781380826761.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676280831871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111976004 + ... + 111990972.

Almost surely, 21676280831872 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 1676280831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803285601200).

1676280831872 is an abundant number, since it is smaller than the sum of its proper divisors (1930290370528).

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

1676280831872 is a wasteful number, since it uses less digits than its factorization.

1676280831872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 1676280831872 in words is "one trillion, six hundred seventy-six billion, two hundred eighty million, eight hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 971 1088 1696 1802 1942 2176 3392 3604 3884 6784 7208 7768 14416 14969 15536 16507 28832 29938 31072 33014 51463 57664 59876 62144 66028 102926 115328 119752 124288 132056 205852 239504 254473 264112 411704 479008 508946 528224 793357 823408 874871 958016 1017892 1056448 1586714 1646816 1749742 1916032 2035784 2112896 3173428 3293632 3499484 4071568 6346856 6587264 6998968 8143136 12693712 13487069 13997936 14534899 16286272 25387424 26974138 27995872 29069798 32572544 50774848 53948276 55991744 58139596 101549696 107896552 111983488 116279192 215793104 232558384 247093283 431586208 465116768 494186566 770349647 863172416 930233536 988373132 1540699294 1726344832 1860467072 1976746264 3081398588 3953492528 6162797176 7906985056 12325594352 13095943999 15813970112 24651188704 26191887998 31627940224 49302377408 52383775996 98604754816 104767551992 209535103984 419070207968 838140415936 1676280831872