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1794914991672 = 2331119359996763
BaseRepresentation
bin11010000111101001010…
…001010011111000111000
320100120222201012222101220
4122013221101103320320
5213401441214213142
63452323401312040
7243451444460625
oct32075121237070
96316881188356
101794914991672
116322457a0670
1224ba49495620
1310034b8c173a
1462c352dd34c
1531a5340e2ec
hex1a1e9453e38

1794914991672 has 128 divisors (see below), whose sum is σ = 5167224576000. Its totient is φ = 513850746240.

The previous prime is 1794914991647. The next prime is 1794914991733. The reversal of 1794914991672 is 2761994194971.

It is a junction number, because it is equal to n+sod(n) for n = 1794914991597 and 1794914991606.

It is a congruent number.

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, 1302363 + ... + 2299125.

It is an arithmetic number, because the mean of its divisors is an integer number (40368942000).

Almost surely, 21794914991672 is an apocalyptic number.

1794914991672 is a gapful number since it is divisible by the number (12) 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 1794914991672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583612288000).

1794914991672 is an abundant number, since it is smaller than the sum of its proper divisors (3372309584328).

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

1794914991672 is a wasteful number, since it uses less digits than its factorization.

1794914991672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997161 (or 997157 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 69.

The spelling of 1794914991672 in words is "one trillion, seven hundred ninety-four billion, nine hundred fourteen million, nine hundred ninety-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 359 418 456 627 718 836 1077 1254 1436 1672 2154 2508 2872 3949 4308 5016 6821 7898 8616 11847 13642 15796 20463 23694 27284 31592 40926 47388 54568 75031 81852 94776 150062 163704 225093 300124 450186 600248 900372 996763 1800744 1993526 2990289 3987052 5980578 7974104 10964393 11961156 18938497 21928786 23922312 32893179 37876994 43857572 56815491 65786358 75753988 87715144 113630982 131572716 151507976 208323467 227261964 263145432 357837917 416646934 454523928 624970401 715675834 833293868 1073513751 1249940802 1431351668 1666587736 2147027502 2499881604 2862703336 3936217087 4294055004 4999763208 6798920423 7872434174 8588110008 11808651261 13597840846 15744868348 20396761269 23617302522 27195681692 31489736696 40793522538 47234605044 54391363384 74788124653 81587045076 94469210088 149576249306 163174090152 224364373959 299152498612 448728747918 598304997224 897457495836 1794914991672