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541216891712 = 26721319130843
BaseRepresentation
bin1111110000000110000…
…10100110001101000000
31220201222100001202100102
413320003002212031000
532331403011013322
61052344232141532
754046600450400
oct7700302461500
91821870052312
10541216891712
1119958a90a272
1288a845378a8
133c06235a1b3
141c2a327a800
15e129390792
hex7e030a6340

541216891712 has 84 divisors (see below), whose sum is σ = 1250277225120. Its totient is φ = 231772472064.

The previous prime is 541216891667. The next prime is 541216891739. The reversal of 541216891712 is 217198612145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4070963 + ... + 4201805.

It is an arithmetic number, because the mean of its divisors is an integer number (14884252680).

Almost surely, 2541216891712 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 541216891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625138612560).

541216891712 is an abundant number, since it is smaller than the sum of its proper divisors (709060333408).

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

541216891712 is a wasteful number, since it uses less digits than its factorization.

541216891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132188 (or 132171 counting only the distinct ones).

The product of its digits is 241920, while the sum is 47.

The spelling of 541216891712 in words is "five hundred forty-one billion, two hundred sixteen million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1319 1568 2638 3136 5276 9233 10552 18466 21104 36932 42208 64631 73864 84416 129262 130843 147728 258524 261686 295456 517048 523372 590912 915901 1034096 1046744 1831802 2068192 2093488 3663604 4136384 4186976 6411307 7327208 8373952 12822614 14654416 25645228 29308832 51290456 58617664 102580912 172581917 205161824 345163834 410323648 690327668 1208073419 1380655336 2416146838 2761310672 4832293676 5522621344 8456513933 9664587352 11045242688 16913027866 19329174704 33826055732 38658349408 67652111464 77316698816 135304222928 270608445856 541216891712