Search a number
-
+
59409622095020 = 225314719310563551
BaseRepresentation
bin11011000001000011000010…
…11010111101010010101100
321210100111121201012112102122
431200201201122331102230
530241331401224020040
6330204223103012112
715341126550513521
oct1540414132752254
9253314551175378
1059409622095020
1117a2552a959a5a
1267b5b9629a038
13271c3c3534a42
141095626363148
156d05a98461b5
hex3608616bd4ac

59409622095020 has 96 divisors (see below), whose sum is σ = 132206318125056. Its totient is φ = 22391345664000.

The previous prime is 59409622094993. The next prime is 59409622095023. The reversal of 59409622095020 is 2059022690495.

It is not an unprimeable number, because it can be changed into a prime (59409622095023) 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, 342245 + ... + 10905795.

It is an arithmetic number, because the mean of its divisors is an integer number (1377149147136).

Almost surely, 259409622095020 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 59409622095020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66103159062528).

59409622095020 is an abundant number, since it is smaller than the sum of its proper divisors (72796696030036).

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

59409622095020 is a wasteful number, since it uses less digits than its factorization.

59409622095020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563831 (or 10563829 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 59409622095020 in words is "fifty-nine trillion, four hundred nine billion, six hundred twenty-two million, ninety-five thousand, twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 193 235 310 386 470 620 772 940 965 1457 1930 2914 3860 5828 5983 7285 9071 11966 14570 18142 23932 29140 29915 36284 45355 59830 90710 119660 181420 281201 562402 1124804 1406005 2812010 5624020 10563551 21127102 42254204 52817755 105635510 211271020 327470081 496486897 654940162 992973794 1309880324 1637350405 1985947588 2038765343 2482434485 3274700810 4077530686 4964868970 6549401620 8155061372 9929737940 10193826715 15391093807 20387653430 30782187614 40775306860 61564375228 63201725633 76955469035 95821971121 126403451266 153910938070 191643942242 252806902532 307821876140 316008628165 383287884484 479109855605 632017256330 958219711210 1264034512660 1916439422420 2970481104751 5940962209502 11881924419004 14852405523755 29704811047510 59409622095020