Search a number
-
+
59055617742380 = 2257361314043541
BaseRepresentation
bin11010110110101111101010…
…00111100001011000101100
321202002122212112120010220122
431123113311013201120230
530220031401120224010
6325333435401104112
715303425155253000
oct1533276507413054
9252078775503818
1059055617742380
11178a938a703266
12675945aa88038
1326c4bc817c7ac
141082442b66700
156c628aeac855
hex35b5f51e162c

59055617742380 has 96 divisors (see below), whose sum is σ = 144861944438400. Its totient is φ = 20214608520960.

The previous prime is 59055617742371. The next prime is 59055617742389. The reversal of 59055617742380 is 8324771655095.

It is an interprime number because it is at equal distance from previous prime (59055617742371) and next prime (59055617742389).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (59055617742389) 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, 2816591 + ... + 11226950.

It is an arithmetic number, because the mean of its divisors is an integer number (1508978587900).

It is a 1-persistent number, because it is pandigital, but 2⋅59055617742380 = 118111235484760 is not.

Almost surely, 259055617742380 is an apocalyptic number.

It is an amenable number.

59055617742380 is an abundant number, since it is smaller than the sum of its proper divisors (85806326696020).

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

59055617742380 is a wasteful number, since it uses less digits than its factorization.

59055617742380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044184 (or 14044168 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 62.

The spelling of 59055617742380 in words is "fifty-nine trillion, fifty-five billion, six hundred seventeen million, seven hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 613 686 980 1226 1372 1715 2452 3065 3430 4291 6130 6860 8582 12260 17164 21455 30037 42910 60074 85820 120148 150185 210259 300370 420518 600740 841036 1051295 2102590 4205180 14043541 28087082 56174164 70217705 98304787 140435410 196609574 280870820 393219148 491523935 688133509 983047870 1376267018 1966095740 2752534036 3440667545 4816934563 6881335090 8608690633 9633869126 13762670180 17217381266 19267738252 24084672815 34434762532 43043453165 48169345630 60260834431 86086906330 96338691260 120521668862 172173812660 241043337724 301304172155 421825841017 602608344310 843651682034 1205216688620 1687303364068 2109129205085 2952780887119 4218258410170 5905561774238 8436516820340 11811123548476 14763904435595 29527808871190 59055617742380