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21364711516062 = 2334153259170271
BaseRepresentation
bin1001101101110010111000…
…00010100110011110011110
32210122110001110221120122000
410312321130002212132132
510300014412122003222
6113234451334103130
74333356316351365
oct466713402463636
983573043846560
1021364711516062
1168977a5746012
12249075a7aaaa6
13bbc8b6c9ba85
1453c0b3d047dc
15270b29e7d9ac
hex136e5c0a679e

21364711516062 has 128 divisors (see below), whose sum is σ = 49572589731840. Its totient is φ = 6814053792000.

The previous prime is 21364711516037. The next prime is 21364711516067. The reversal of 21364711516062 is 26061511746312.

It is a happy number.

21364711516062 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 71 + 1 + 516 + 0 + 62 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21364711515999 and 21364711516017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21364711516067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303997987 + ... + 304068257.

It is an arithmetic number, because the mean of its divisors is an integer number (387285857280).

Almost surely, 221364711516062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364711516062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786294865920).

21364711516062 is an abundant number, since it is smaller than the sum of its proper divisors (28207878215778).

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

21364711516062 is a wasteful number, since it uses less digits than its factorization.

21364711516062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72967 (or 72961 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21364711516062 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred eleven million, five hundred sixteen thousand, sixty-two".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 123 159 246 318 369 477 738 954 1107 1431 2173 2214 2591 2862 4346 5182 6519 7773 13038 15546 19557 23319 39114 46638 58671 69957 70271 106231 117342 137323 139914 140542 210813 212462 274646 318693 411969 421626 632439 637386 823938 956079 1235907 1264878 1897317 1912158 2471814 2868237 2881111 3707721 3724363 3794634 5630243 5736474 5762222 7415442 7448726 8643333 11173089 11260486 16890729 17286666 22346178 25929999 33519267 33781458 50672187 51859998 67038534 77789997 100557801 101344374 152016561 152698883 155579994 182072161 201115602 304033122 305397766 364144322 458096649 546216483 916193298 1092432966 1374289947 1638649449 2748579894 3277298898 4122869841 4915948347 7464958601 8245739682 9649824533 9831896694 14929917202 19299649066 22394875803 28949473599 44789751606 57898947198 67184627409 86848420797 134369254818 173696841594 201553882227 260545262391 395642805853 403107764454 521090524782 791285611706 1186928417559 2373856835118 3560785252677 7121570505354 10682355758031 21364711516062