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21150413362160 = 24517191408158129
BaseRepresentation
bin1001100111100011101101…
…11000000001001111110000
32202212221220200011102021222
410303301312320001033300
510233012021310042120
6112552211001004212
74312031650165445
oct463616670011760
982787820142258
1021150413362160
116814926a531a5
122457112783668
13ba562466b304
14531984cd79cc
1526a28662e525
hex133c76e013f0

21150413362160 has 160 divisors (see below), whose sum is σ = 54812562753600. Its totient is φ = 7542763683840.

The previous prime is 21150413362147. The next prime is 21150413362187. The reversal of 21150413362160 is 6126331405112.

It is a self number, because there is not a number n which added to its sum of digits gives 21150413362160.

It is a congruent number.

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, 363823976 + ... + 363882104.

It is an arithmetic number, because the mean of its divisors is an integer number (342578517210).

Almost surely, 221150413362160 is an apocalyptic number.

21150413362160 is a gapful number since it is divisible by the number (20) 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 21150413362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27406281376800).

21150413362160 is an abundant number, since it is smaller than the sum of its proper divisors (33662149391440).

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

21150413362160 is a wasteful number, since it uses less digits than its factorization.

21150413362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72259 (or 72253 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 21150413362160 its reverse (6126331405112), we get a palindrome (27276744767272).

The spelling of 21150413362160 in words is "twenty-one trillion, one hundred fifty billion, four hundred thirteen million, three hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 14081 25840 28162 56324 58129 70405 112648 116258 140810 225296 232516 239377 267539 281620 290645 465032 478754 535078 563240 581290 930064 957508 988193 1070156 1104451 1126480 1162580 1196885 1337695 1915016 1976386 2140312 2208902 2325160 2393770 2675390 3830032 3952772 4280624 4417804 4548163 4650320 4787540 4940965 5350780 5522255 7905544 8835608 9096326 9575080 9881930 10701560 11044510 15811088 17671216 18192652 18775667 19150160 19763860 21403120 22089020 22740815 36385304 37551334 39527720 44178040 45481630 72770608 75102668 79055440 88356080 90963260 93878335 150205336 181926520 187756670 300410672 363853040 375513340 751026680 818514449 1502053360 1637028898 3274057796 4092572245 6548115592 8185144490 13096231184 13914745633 15551774531 16370288980 27829491266 31103549062 32740577960 55658982532 62207098124 65481155920 69573728165 77758872655 111317965064 124414196248 139147456330 155517745310 222635930128 248828392496 264380167027 278294912660 311035490620 528760334054 556589825320 622070981240 1057520668108 1113179650640 1244141962480 1321900835135 2115041336216 2643801670270 4230082672432 5287603340540 10575206681080 21150413362160