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21874523914976 = 2541891031818769
BaseRepresentation
bin1001111100101000011110…
…01110100100001011100000
32212110011222011220210200112
410332110033032210023200
510331343011110234401
6114305003443110452
74415245044266045
oct476241716441340
985404864823615
1021874523914976
116a73a2a533aa7
122553519972428
13c289b2ca1445
14558a383b51cc
1527e0172643bb
hex13e50f3a42e0

21874523914976 has 96 divisors (see below), whose sum is σ = 45044676331200. Its totient is φ = 10448167403520.

The previous prime is 21874523914967. The next prime is 21874523915029. The reversal of 21874523914976 is 67941932547812.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11117720 + ... + 12936488.

It is an arithmetic number, because the mean of its divisors is an integer number (469215378450).

Almost surely, 221874523914976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21874523914976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522338165600).

21874523914976 is an abundant number, since it is smaller than the sum of its proper divisors (23170152416224).

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

21874523914976 is a wasteful number, since it uses less digits than its factorization.

21874523914976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819012 (or 1819004 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 68.

The spelling of 21874523914976 in words is "twenty-one trillion, eight hundred seventy-four billion, five hundred twenty-three million, nine hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 82 89 103 164 178 206 328 356 412 656 712 824 1312 1424 1648 2848 3296 3649 4223 7298 8446 9167 14596 16892 18334 29192 33784 36668 58384 67568 73336 116768 135136 146672 293344 375847 751694 1503388 1818769 3006776 3637538 6013552 7275076 12027104 14550152 29100304 58200608 74569529 149139058 161870441 187333207 298278116 323740882 374666414 596556232 647481764 749332828 1193112464 1294963528 1498665656 2386224928 2589927056 2997331312 5179854112 5994662624 6636688081 7680661487 13273376162 15361322974 16672655423 26546752324 30722645948 33345310846 53093504648 61445291896 66690621692 106187009296 122890583792 133381243384 212374018592 245781167584 266762486768 533524973536 683578872343 1367157744686 2734315489372 5468630978744 10937261957488 21874523914976