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21583874330357 = 294147834653413
BaseRepresentation
bin1001110100001011000110…
…01010011000111011110101
32211102101202022110002111012
410322011203022120323311
510312112233312032412
6113523254525522005
74355245345501553
oct472054312307365
984371668402435
1021583874330357
116971740407219
122507123a13305
13c074733c3101
14548945022bd3
152766a58edc22
hex13a163298ef5

21583874330357 has 32 divisors (see below), whose sum is σ = 23640832212480. Its totient is φ = 19658990471680.

The previous prime is 21583874330351. The next prime is 21583874330377. The reversal of 21583874330357 is 75303347838512.

It is a de Polignac number, because none of the positive numbers 2k-21583874330357 is a prime.

It is a super-2 number, since 2×215838743303572 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21583874330296 and 21583874330305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21583874330351) 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 31 ways as a sum of consecutive naturals, for example, 2311583 + ... + 6964995.

It is an arithmetic number, because the mean of its divisors is an integer number (738776006640).

Almost surely, 221583874330357 is an apocalyptic number.

It is an amenable number.

21583874330357 is a deficient number, since it is larger than the sum of its proper divisors (2056957882123).

21583874330357 is a wasteful number, since it uses less digits than its factorization.

21583874330357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653613.

The product of its (nonzero) digits is 50803200, while the sum is 59.

The spelling of 21583874330357 in words is "twenty-one trillion, five hundred eighty-three billion, eight hundred seventy-four million, three hundred thirty thousand, three hundred fifty-seven".

Divisors: 1 29 41 47 83 1189 1363 1927 2407 3403 3901 55883 98687 113129 159941 4638289 4653413 134948977 190789933 218710411 386233279 5532908057 6342601919 8967126851 11200765091 15835564439 18152964113 260046678679 459231368731 526435959277 744271528633 21583874330357