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1129810238550 = 23552713284071
BaseRepresentation
bin10000011100001101111…
…100000001110001010110
311000000020102021210100000
4100130031330001301112
5122002322410113200
62223005550232130
7144424515401010
oct20341574016126
94000212253300
101129810238550
113a6171475484
12162b6b1b5646
1382704a5c396
143c97c6371b0
151e5c7ae4300
hex1070df01c56

1129810238550 has 144 divisors (see below), whose sum is σ = 3597539242752. Its totient is φ = 258242320800.

The previous prime is 1129810238533. The next prime is 1129810238657. The reversal of 1129810238550 is 558320189211.

1129810238550 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 1 + 0 + 2 + 3 + 8 + 550 = 666.

It is a super-2 number, since 2×11298102385502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1129810238496 and 1129810238505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6556986 + ... + 6727085.

It is an arithmetic number, because the mean of its divisors is an integer number (24982911408).

Almost surely, 21129810238550 is an apocalyptic number.

1129810238550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1129810238550 is an abundant number, since it is smaller than the sum of its proper divisors (2467729004202).

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

1129810238550 is a wasteful number, since it uses less digits than its factorization.

1129810238550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284105 (or 13284088 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1129810238550 in words is "one trillion, one hundred twenty-nine billion, eight hundred ten million, two hundred thirty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1890 2025 2430 2835 3150 3402 4050 4725 5670 6075 8505 9450 12150 14175 17010 28350 42525 85050 13284071 26568142 39852213 66420355 79704426 92988497 119556639 132840710 185976994 199261065 239113278 278965491 332101775 358669917 398522130 464942485 557930982 597783195 664203550 717339834 836896473 929884970 996305325 1076009751 1195566390 1394827455 1673792946 1793349585 1992610650 2152019502 2324712425 2510689419 2789654910 2988915975 3228029253 3586699170 4184482365 4649424850 5021378838 5380048755 5977831950 6456058506 6974137275 7532068257 8368964730 8966747925 10760097510 12553447095 13948274550 15064136514 16140146265 17933495850 20922411825 22596204771 25106894190 26900243775 32280292530 37660341285 41844823650 45192409542 53800487550 62767235475 75320682570 80700731325 112981023855 125534470950 161401462650 188301706425 225962047710 376603412850 564905119275 1129810238550