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38403650252240 = 24571313807382069
BaseRepresentation
bin10001011101101100010111…
…11011100110110111010000
312000222100112102020120001122
420232312023323212313100
520013201133431032430
6213402220545021412
711042400153056330
oct1056661373466720
9160870472216048
1038403650252240
1111266995428179
124382a74924868
1318575aa9979c0
1496aa648dd0c0
15468e78d23ee5
hex22ed8bee6dd0

38403650252240 has 160 divisors (see below), whose sum is σ = 109901769169920. Its totient is φ = 12153210181632.

The previous prime is 38403650252237. The next prime is 38403650252249. The reversal of 38403650252240 is 4225205630483.

It is a junction number, because it is equal to n+sod(n) for n = 38403650252191 and 38403650252200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38403650252249) 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, 100323926 + ... + 100705994.

It is an arithmetic number, because the mean of its divisors is an integer number (686886057312).

Almost surely, 238403650252240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38403650252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54950884584960).

38403650252240 is an abundant number, since it is smaller than the sum of its proper divisors (71498118917680).

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

38403650252240 is a wasteful number, since it uses less digits than its factorization.

38403650252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395909 (or 395903 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 38403650252240 in words is "thirty-eight trillion, four hundred three billion, six hundred fifty million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 13807 27614 55228 69035 96649 110456 138070 179491 193298 220912 276140 358982 382069 386596 483245 552280 717964 764138 773192 897455 966490 1104560 1256437 1435928 1528276 1546384 1794910 1910345 1932980 2512874 2674483 2871856 3056552 3589820 3820690 3865960 4966897 5025748 5348966 6113104 6282185 7179640 7641380 7731920 9933794 10051496 10697932 12564370 13372415 14359280 15282760 19867588 20102992 21395864 24834485 25128740 26744830 30565520 34768279 39735176 42791728 49668970 50257480 53489660 69536558 79470352 99337940 100514960 106979320 139073116 173841395 198675880 213958640 278146232 347682790 397351760 556292464 695365580 1390731160 2781462320 5275226683 10550453366 21100906732 26376133415 36926586781 42201813464 52752266830 68577946879 73853173562 84403626928 105504533660 137155893758 147706347124 184632933905 211009067320 274311787516 295412694248 342889734395 369265867810 422018134640 480045628153 548623575032 590825388496 685779468790 738531735620 960091256306 1097247150064 1371558937580 1477063471240 1920182512612 2400228140765 2743117875160 2954126942480 3840365025224 4800456281530 5486235750320 7680730050448 9600912563060 19201825126120 38403650252240