Search a number
-
+
31550434215560 = 235131919469164023
BaseRepresentation
bin1110010110001111010000…
…11011001000011010001000
311010201012012000012111121022
413023013220123020122020
513113410242124344220
6151034022553132012
76434305112646131
oct713075033103210
9133635160174538
1031550434215560
11a064511662027
1236568286ba008
13147b268556850
147b1098c96c88
1539aa74bd9925
hex1cb1e86c8688

31550434215560 has 128 divisors (see below), whose sum is σ = 80477391456000. Its totient is φ = 11035631102976.

The previous prime is 31550434215491. The next prime is 31550434215563. The reversal of 31550434215560 is 6551243405513.

It is a happy number.

It is a super-2 number, since 2×315504342155602 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31550434215563) 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, 192271709 + ... + 192435731.

It is an arithmetic number, because the mean of its divisors is an integer number (628729620750).

Almost surely, 231550434215560 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 31550434215560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40238695728000).

31550434215560 is an abundant number, since it is smaller than the sum of its proper divisors (48926957240440).

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

31550434215560 is a wasteful number, since it uses less digits than its factorization.

31550434215560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183535 (or 183531 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 31550434215560 in words is "thirty-one trillion, five hundred fifty billion, four hundred thirty-four million, two hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 19469 38938 77876 97345 155752 164023 194690 253097 328046 369911 389380 506194 656092 739822 778760 820115 1012388 1265485 1312184 1479644 1640230 1849555 2024776 2132299 2530970 2959288 3116437 3280460 3699110 4264598 4808843 5061940 6232874 6560920 7398220 8529196 9617686 10123880 10661495 12465748 14796440 15582185 17058392 19235372 21322990 24044215 24931496 31164370 38470744 40513681 42645980 48088430 62328740 81027362 85291960 96176860 124657480 162054724 192353720 202568405 324109448 405136810 810273620 1620547240 3193363787 6386727574 12773455148 15966818935 25546910296 31933637870 41513729231 60673911953 63867275740 83027458462 121347823906 127734551480 166054916924 207568646155 242695647812 303369559765 332109833848 415137292310 485391295624 606739119530 788760855389 830274584620 1213478239060 1577521710778 1660549169240 2426956478120 3155043421556 3943804276945 6310086843112 7887608553890 15775217107780 31550434215560