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2145737302704 = 24347972077367
BaseRepresentation
bin11111001110010111111…
…010001110001010110000
321121010112010021220110000
4133032113322032022300
5240123432222141304
64321423233110000
7311011241065302
oct37162772161260
97533463256400
102145737302704
1175800284a406
122a7a370b8300
1312745a955228
1475bd6067972
153ac37745939
hex1f397e8e2b0

2145737302704 has 100 divisors (see below), whose sum is σ = 6218181479664. Its totient is φ = 714348001152.

The previous prime is 2145737302703. The next prime is 2145737302711. The reversal of 2145737302704 is 4072037375412.

2145737302704 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 7 + 373 + 0 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2145737302704.

It is not an unprimeable number, because it can be changed into a prime (2145737302703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5772 + ... + 2071595.

Almost surely, 22145737302704 is an apocalyptic number.

2145737302704 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 2145737302704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109090739832).

2145737302704 is an abundant number, since it is smaller than the sum of its proper divisors (4072444176960).

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

2145737302704 is a wasteful number, since it uses less digits than its factorization.

2145737302704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078184 (or 2078169 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 2145737302704 in words is "two trillion, one hundred forty-five billion, seven hundred thirty-seven million, three hundred two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 797 1296 1594 2391 3188 4782 6376 7173 9564 12752 14346 19128 21519 28692 38256 43038 57384 64557 86076 114768 129114 172152 258228 344304 516456 1032912 2077367 4154734 6232101 8309468 12464202 16618936 18696303 24928404 33237872 37392606 49856808 56088909 74785212 99713616 112177818 149570424 168266727 224355636 299140848 336533454 448711272 673066908 897422544 1346133816 1655661499 2692267632 3311322998 4966984497 6622645996 9933968994 13245291992 14900953491 19867937988 26490583984 29801906982 39735875976 44702860473 59603813964 79471751952 89405720946 119207627928 134108581419 178811441892 238415255856 268217162838 357622883784 536434325676 715245767568 1072868651352 2145737302704