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213355317214032 = 24371737352121361
BaseRepresentation
bin110000100000101110100111…
…111001001011101101010000
31000222102120100220011020121220
4300200232213321023231100
5210431103142201322112
62033434025111045040
762640261440505210
oct6040564771135520
91028376326136556
10213355317214032
1161a88533450a54
121bb19834070780
1392084212bb5b6
143a98649754240
15199ecdc49098c
hexc20ba7e4bb50

213355317214032 has 80 divisors (see below), whose sum is σ = 666959479039872. Its totient is φ = 57372858408960.

The previous prime is 213355317214001. The next prime is 213355317214037. The reversal of 213355317214032 is 230412713553312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213355317214037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18676054969 + ... + 18676066392.

Almost surely, 2213355317214032 is an apocalyptic number.

It is an amenable number.

213355317214032 is an abundant number, since it is smaller than the sum of its proper divisors (453604161825840).

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

213355317214032 is a wasteful number, since it uses less digits than its factorization.

213355317214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37352121396 (or 37352121390 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 213355317214032 in words is "two hundred thirteen trillion, three hundred fifty-five billion, three hundred seventeen million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 37352121361 74704242722 112056364083 149408485444 224112728166 261464849527 298816970888 448225456332 522929699054 597633941776 634986063137 784394548581 896450912664 1045859398108 1269972126274 1568789097162 1792901825328 1904958189411 2091718796216 2539944252548 3137578194324 3809916378822 4183437592432 4444902441959 5079888505096 6275156388648 7619832757644 8889804883918 10159777010192 12550312777296 13334707325877 15239665515288 17779609767836 26669414651754 30479331030576 35559219535672 53338829303508 71118439071344 106677658607016 213355317214032