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6106105510530 = 2351722699260941
BaseRepresentation
bin101100011011011000000…
…1111111111101010000010
3210121201220222202222001120
41120312300033333222002
51300020301002314110
620553034532213110
71200102662321004
oct130666017775202
923551828688046
106106105510530
111a44648413a23
128274a246a196
13353a59a5b05c
14171773a86374
15a8c791ec870
hex58db03ffa82

6106105510530 has 96 divisors (see below), whose sum is σ = 15573227313600. Its totient is φ = 1531939077120.

The previous prime is 6106105510529. The next prime is 6106105510607. The reversal of 6106105510530 is 350155016016.

It is a junction number, because it is equal to n+sod(n) for n = 6106105510491 and 6106105510500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23269860 + ... + 23530800.

It is an arithmetic number, because the mean of its divisors is an integer number (162221117850).

Almost surely, 26106105510530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106105510530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786613656800).

6106105510530 is an abundant number, since it is smaller than the sum of its proper divisors (9467121803070).

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

6106105510530 is a wasteful number, since it uses less digits than its factorization.

6106105510530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263684 (or 263667 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 6106105510530 in words is "six trillion, one hundred six billion, one hundred five million, five hundred ten thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2699 2890 4335 5398 8097 8670 13495 16194 26990 40485 45883 80970 91766 137649 229415 260941 275298 458830 521882 688245 780011 782823 1304705 1376490 1560022 1565646 2340033 2609410 3900055 3914115 4435997 4680066 7800110 7828230 8871994 11700165 13307991 22179985 23400330 26615982 44359970 66539955 75411949 133079910 150823898 226235847 377059745 452471694 704279759 754119490 1131179235 1408559518 2112839277 2262358470 3521398795 4225678554 7042797590 10564196385 11972755903 21128392770 23945511806 35918267709 59863779515 71836535418 119727559030 179591338545 203536850351 359182677090 407073700702 610610551053 1017684251755 1221221102106 2035368503510 3053052755265 6106105510530