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3420972219660 = 22351711292970677
BaseRepresentation
bin110001110010000001110…
…101010111110100001100
3110010001010102202210100020
4301302001311113310030
5422022122342012120
611135323431102140
7502104611040462
oct61620165276414
913101112683306
103420972219660
1110a990a6a7116
12473010811950
131ba79a0a7478
14bb80c53a832
155dec23ed640
hex31c81d57d0c

3420972219660 has 96 divisors (see below), whose sum is σ = 10151163207360. Its totient is φ = 857836167168.

The previous prime is 3420972219647. The next prime is 3420972219689. The reversal of 3420972219660 is 669122790243.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333759 + ... + 2636918.

It is an arithmetic number, because the mean of its divisors is an integer number (105741283410).

Almost surely, 23420972219660 is an apocalyptic number.

3420972219660 is a gapful number since it is divisible by the number (30) 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 3420972219660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075581603680).

3420972219660 is an abundant number, since it is smaller than the sum of its proper divisors (6730190987700).

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

3420972219660 is a wasteful number, since it uses less digits than its factorization.

3420972219660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971835 (or 2971833 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 3420972219660 in words is "three trillion, four hundred twenty billion, nine hundred seventy-two million, two hundred nineteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1129 2258 3387 4516 5645 6774 11290 13548 16935 19193 22580 33870 38386 57579 67740 76772 95965 115158 191930 230316 287895 383860 575790 1151580 2970677 5941354 8912031 11882708 14853385 17824062 29706770 35648124 44560155 50501509 59413540 89120310 101003018 151504527 178240620 202006036 252507545 303009054 505015090 606018108 757522635 1010030180 1515045270 3030090540 3353894333 6707788666 10061682999 13415577332 16769471665 20123365998 33538943330 40246731996 50308414995 57016203661 67077886660 100616829990 114032407322 171048610983 201233659980 228064814644 285081018305 342097221966 570162036610 684194443932 855243054915 1140324073220 1710486109830 3420972219660