Search a number
-
+
11357098418190 = 2357193191819051
BaseRepresentation
bin1010010101000100011111…
…0100010010000000001110
31111012201122201022212211210
42211101013310102000032
52442033314143340230
640053213505555250
72251344325514340
oct245210764220016
944181581285753
1011357098418190
113689577a83978
1213350b9345b26
13644c7b807115
142b3987a63290
1514a6569b7eb0
hexa5447d1200e

11357098418190 has 128 divisors (see below), whose sum is σ = 33848175329280. Its totient is φ = 2379949776000.

The previous prime is 11357098418053. The next prime is 11357098418203. The reversal of 11357098418190 is 9181489075311.

It is a super-2 number, since 2×113570984181902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11357098418190.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45785836 + ... + 46033215.

It is an arithmetic number, because the mean of its divisors is an integer number (264438869760).

Almost surely, 211357098418190 is an apocalyptic number.

11357098418190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11357098418190 is an abundant number, since it is smaller than the sum of its proper divisors (22491076911090).

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

11357098418190 is a wasteful number, since it uses less digits than its factorization.

11357098418190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91819118.

The product of its (nonzero) digits is 2177280, while the sum is 57.

The spelling of 11357098418190 in words is "eleven trillion, three hundred fifty-seven billion, ninety-eight million, four hundred eighteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 1085 1178 1302 1330 1767 1995 2170 2945 3255 3534 3990 4123 5890 6510 8246 8835 12369 17670 20615 24738 41230 61845 123690 91819051 183638102 275457153 459095255 550914306 642733357 918190510 1285466714 1377285765 1744561969 1928200071 2754571530 2846390581 3213666785 3489123938 3856400142 5233685907 5692781162 6427333570 8539171743 8722809845 9641000355 10467371814 12211933783 14231952905 17078343486 17445619690 19282000710 19924734067 24423867566 26168429535 28463905810 36635801349 39849468134 42695858715 52336859070 54081421039 59774202201 61059668915 73271602698 85391717430 99623670335 108162842078 119548404402 122119337830 162244263117 183179006745 199247340670 270407105195 298871011005 324488526234 366358013490 378569947273 540814210390 597742022010 757139894546 811221315585 1135709841819 1622442631170 1892849736365 2271419683638 3785699472730 5678549209095 11357098418190