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47211055617616 = 2411337992980167
BaseRepresentation
bin10101011110000001011100…
…01100110001011001010000
320012011022222122021020110021
422233000232030301121100
522142001220214230431
6244224243132113224
712641612653336252
oct1257005614613120
9205138878236407
1047211055617616
1114052107119780
12536599b005814
132045ca2810c17
14b93054c1dcd2
1556d104268b11
hex2af02e331650

47211055617616 has 80 divisors (see below), whose sum is σ = 100094436224640. Its totient is φ = 21393470730240.

The previous prime is 47211055617601. The next prime is 47211055617631. The reversal of 47211055617616 is 61671655011274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47211055617601) and next prime (47211055617631).

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, 588868765 + ... + 588948931.

It is an arithmetic number, because the mean of its divisors is an integer number (1251180452808).

Almost surely, 247211055617616 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 47211055617616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50047218112320).

47211055617616 is an abundant number, since it is smaller than the sum of its proper divisors (52883380607024).

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

47211055617616 is a wasteful number, since it uses less digits than its factorization.

47211055617616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90452 (or 90446 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 47211055617616 in words is "forty-seven trillion, two hundred eleven billion, fifty-five million, six hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 337 674 1348 2696 3707 5392 7414 9929 14828 19858 29656 39716 59312 79432 80167 109219 158864 160334 218438 320668 436876 641336 873752 881837 1282672 1747504 1763674 3346073 3527348 6692146 7054696 13384292 14109392 26768584 27016279 36806803 53537168 54032558 73613606 108065116 147227212 216130232 294454424 297179069 432260464 588908848 594358138 795978143 1188716276 1591956286 2377432552 3183912572 4754865104 6367825144 8755759573 12735650288 17511519146 35023038292 70046076584 140092153168 268244634191 536489268382 1072978536764 2145957073528 2950690976101 4291914147056 5901381952202 11802763904404 23605527808808 47211055617616