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1046683445340 = 22351310131324681
BaseRepresentation
bin11110011101100110011…
…00011110100001011100
310201001200011120011102010
433032303030132201130
5114122101430222330
62120501214431220
7135422535330141
oct17166314364134
93631604504363
101046683445340
11373994577385
1214aa30202510
1377917bab090
14389344cc3c8
151c35ed883b0
hexf3b331e85c

1046683445340 has 96 divisors (see below), whose sum is σ = 3159271192896. Its totient is φ = 257390622720.

The previous prime is 1046683445323. The next prime is 1046683445359. The reversal of 1046683445340 is 435443866401.

It is a self number, because there is not a number n which added to its sum of digits gives 1046683445340.

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, 127800 + ... + 1452480.

It is an arithmetic number, because the mean of its divisors is an integer number (32909074926).

Almost surely, 21046683445340 is an apocalyptic number.

1046683445340 is a gapful number since it is divisible by the number (10) 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 1046683445340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579635596448).

1046683445340 is an abundant number, since it is smaller than the sum of its proper divisors (2112587747556).

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

1046683445340 is a wasteful number, since it uses less digits than its factorization.

1046683445340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325719 (or 1325717 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 1046683445340 in words is "one trillion, forty-six billion, six hundred eighty-three million, four hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1013 2026 3039 4052 5065 6078 10130 12156 13169 15195 20260 26338 30390 39507 52676 60780 65845 79014 131690 158028 197535 263380 395070 790140 1324681 2649362 3974043 5298724 6623405 7948086 13246810 15896172 17220853 19870215 26493620 34441706 39740430 51662559 68883412 79480860 86104265 103325118 172208530 206650236 258312795 344417060 516625590 1033251180 1341901853 2683803706 4025705559 5367607412 6709509265 8051411118 13419018530 16102822236 17444724089 20128527795 26838037060 34889448178 40257055590 52334172267 69778896356 80514111180 87223620445 104668344534 174447240890 209336689068 261670861335 348894481780 523341722670 1046683445340