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3426213173480 = 2353759108736097
BaseRepresentation
bin110001110110111010001…
…110000001100011101000
3110010112122200112211101222
4301312322032001203220
5422113341033022410
611141551451001212
7502351520312306
oct61667216014350
913115580484358
103426213173480
11110105a019309
12474033a39208
131bb123b2c086
14bbb88601276
155e1cc59d955
hex31dba3818e8

3426213173480 has 128 divisors (see below), whose sum is σ = 8059152844800. Its totient is φ = 1309602152448.

The previous prime is 3426213173429. The next prime is 3426213173521. The reversal of 3426213173480 is 843713126243.

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, 94898792 + ... + 94934888.

It is an arithmetic number, because the mean of its divisors is an integer number (62962131600).

Almost surely, 23426213173480 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 3426213173480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029576422400).

3426213173480 is an abundant number, since it is smaller than the sum of its proper divisors (4632939671320).

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

3426213173480 is a wasteful number, since it uses less digits than its factorization.

3426213173480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37291 (or 37287 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 3426213173480 in words is "three trillion, four hundred twenty-six billion, two hundred thirteen million, one hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 59 74 118 148 185 236 295 296 370 472 590 740 1087 1180 1480 2174 2183 2360 4348 4366 5435 8696 8732 10870 10915 17464 21740 21830 36097 40219 43480 43660 64133 72194 80438 87320 128266 144388 160876 180485 201095 256532 288776 320665 321752 360970 402190 513064 641330 721940 804380 1282660 1335589 1443880 1608760 2129723 2372921 2565320 2671178 4259446 4745842 5342356 6677945 8518892 9491684 10648615 10684712 11864605 13355890 17037784 18983368 21297230 23729210 26711780 39237439 42594460 47458420 53423560 78474878 78799751 85188920 94916840 156949756 157599502 196187195 313899512 315199004 392374390 393998755 630398008 784748780 787997510 1451785243 1569497560 1575995020 2315008901 2903570486 3151990040 4630017802 5807140972 7258926215 9260035604 11575044505 11614281944 14517852430 18520071208 23150089010 29035704860 46300178020 58071409720 85655329337 92600356040 171310658674 342621317348 428276646685 685242634696 856553293370 1713106586740 3426213173480