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106669343040 = 2635138547223
BaseRepresentation
bin110001101010111111…
…1010000000101000000
3101012022222012001221220
41203111333100011000
53221424322434130
6121000410115040
710464236312211
oct1432577200500
9335288161856
10106669343040
1141269077257
121880b41ba80
13a09c472880
14523cb07408
152b949db410
hex18d5fd0140

106669343040 has 112 divisors (see below), whose sum is σ = 364727142528. Its totient is φ = 26257065984.

The previous prime is 106669342919. The next prime is 106669343041. The reversal of 106669343040 is 40343966601.

It is a super-2 number, since 2×1066693430402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106669342983 and 106669343001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106669343041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261132 + ... + 4286091.

It is an arithmetic number, because the mean of its divisors is an integer number (3256492344).

Almost surely, 2106669343040 is an apocalyptic number.

106669343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106669343040 is an abundant number, since it is smaller than the sum of its proper divisors (258057799488).

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

106669343040 is a wasteful number, since it uses less digits than its factorization.

106669343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547256 (or 8547246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 106669343040 in words is "one hundred six billion, six hundred sixty-nine million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 8547223 17094446 25641669 34188892 42736115 51283338 68377784 85472230 102566676 111113899 128208345 136755568 170944460 205133352 222227798 256416690 273511136 333341697 341888920 410266704 444455596 512833380 547022272 555569495 666683394 683777840 820533408 888911192 1025666760 1111138990 1333366788 1367555680 1641066816 1666708485 1777822384 2051333520 2222277980 2666733576 2735111360 3333416970 3555644768 4102667040 4444555960 5333467152 6666833940 7111289536 8205334080 8889111920 10666934304 13333667880 17778223840 21333868608 26667335760 35556447680 53334671520 106669343040