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3854941605756 = 2234231712330211
BaseRepresentation
bin111000000110001100011…
…011001100111101111100
3111122112021111201202210000
4320012030123030331330
51001124410022341011
612110534041114300
7545340022000533
oct70061433147574
914575244652700
103854941605756
11125696504701a
12523144188990
1321c69a270a67
14d4819dad31a
156a42114a356
hex3818c6ccf7c

3854941605756 has 120 divisors (see below), whose sum is σ = 10516696654464. Its totient is φ = 1228999353120.

The previous prime is 3854941605751. The next prime is 3854941605799. The reversal of 3854941605756 is 6575061494583.

It is a happy number.

3854941605756 is a `hidden beast` number, since 3 + 8 + 5 + 49 + 4 + 16 + 0 + 575 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3854941605693 and 3854941605702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3854941605751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127585491 + ... + 127615701.

Almost surely, 23854941605756 is an apocalyptic number.

3854941605756 is a gapful number since it is divisible by the number (36) 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 3854941605756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258348327232).

3854941605756 is an abundant number, since it is smaller than the sum of its proper divisors (6661755048708).

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

3854941605756 is a wasteful number, since it uses less digits than its factorization.

3854941605756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47373 (or 47362 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3854941605756 in words is "three trillion, eight hundred fifty-four billion, nine hundred forty-one million, six hundred five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 17123 30211 34246 51369 60422 68492 90633 102738 120844 154107 181266 205476 271899 308214 362532 393829 462321 543798 616428 694853 787658 815697 924642 1087596 1181487 1386963 1389706 1575316 1631394 1849284 2084559 2362974 2447091 2773926 2779412 3262788 3544461 4169118 4725948 4894182 5547852 6253677 7088922 8338236 9788364 10633383 12507354 14177844 18761031 21266766 25014708 31900149 37522062 42533532 56283093 63800298 75044124 112566186 127600596 225132372 517302953 1034605906 1551908859 2069211812 3103817718 4655726577 6207635436 9311453154 11897967919 13967179731 18622906308 23795935838 27934359462 35693903757 41901539193 47591871676 55868718924 71387807514 83803078386 107081711271 142775615028 167606156772 214163422542 321245133813 428326845084 642490267626 963735401439 1284980535252 1927470802878 3854941605756