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13660426640 = 2457371993313
BaseRepresentation
bin11001011100011100…
…11001000110010000
31022021000111120111102
430232032121012100
5210434032123030
610135302203532
7662342465510
oct145616310620
938230446442
1013660426640
11587aa557a3
122792a235a8
1313991667b3
14938361840
1554e408c45
hex32e399190

13660426640 has 160 divisors (see below), whose sum is σ = 37477363200. Its totient is φ = 4532723712.

The previous prime is 13660426631. The next prime is 13660426643. The reversal of 13660426640 is 4662406631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13660426594 and 13660426603.

It is not an unprimeable number, because it can be changed into a prime (13660426643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4121624 + ... + 4124936.

It is an arithmetic number, because the mean of its divisors is an integer number (234233520).

Almost surely, 213660426640 is an apocalyptic number.

13660426640 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 13660426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738681600).

13660426640 is an abundant number, since it is smaller than the sum of its proper divisors (23816936560).

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

13660426640 is a wasteful number, since it uses less digits than its factorization.

13660426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 13660426640 in words is "thirteen billion, six hundred sixty million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 199 259 280 296 370 398 518 560 592 740 796 995 1036 1295 1393 1480 1592 1990 2072 2590 2786 2960 3184 3313 3980 4144 5180 5572 6626 6965 7363 7960 10360 11144 13252 13930 14726 15920 16565 20720 22288 23191 26504 27860 29452 33130 36815 46382 51541 53008 55720 58904 66260 73630 92764 103082 111440 115955 117808 122581 132520 147260 185528 206164 231910 245162 257705 265040 294520 371056 412328 463820 490324 515410 589040 612905 659287 824656 858067 927640 980648 1030820 1225810 1318574 1716134 1855280 1961296 2061640 2451620 2637148 3296435 3432268 4123280 4290335 4615009 4903240 5274296 6592870 6864536 8580670 9230018 9806480 10548592 13185740 13729072 17161340 18460036 23075045 24393619 26371480 34322680 36920072 46150090 48787238 52742960 68645360 73840144 92300180 97574476 121968095 170755333 184600360 195148952 243936190 341510666 369200720 390297904 487872380 683021332 853776665 975744760 1366042664 1707553330 1951489520 2732085328 3415106660 6830213320 13660426640