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85678201608576 = 273264731842819
BaseRepresentation
bin10011011110110010000010…
…110001011001100110000000
3102020100202102011221112021120
4103132302002301121212000
542212222424102433301
6502120004503152240
724022021464334443
oct2336620261314600
9366322364845246
1085678201608576
1125332a15200175
129739014445680
1338a655c23c945
141722bc058165a
159d8a47659e36
hex4dec82c59980

85678201608576 has 64 divisors (see below), whose sum is σ = 227583852724800. Its totient is φ = 28559258769920.

The previous prime is 85678201608547. The next prime is 85678201608581. The reversal of 85678201608576 is 67580610287658.

85678201608576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 85678201608576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101235295 + ... + 102078113.

It is an arithmetic number, because the mean of its divisors is an integer number (3555997698825).

Almost surely, 285678201608576 is an apocalyptic number.

It is an amenable number.

85678201608576 is an abundant number, since it is smaller than the sum of its proper divisors (141905651116224).

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

85678201608576 is a wasteful number, since it uses less digits than its factorization.

85678201608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107567 (or 1107555 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 69.

The spelling of 85678201608576 in words is "eighty-five trillion, six hundred seventy-eight billion, two hundred one million, six hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 264731 529462 794193 842819 1058924 1588386 1685638 2117848 2528457 3176772 3371276 4235696 5056914 6353544 6742552 8471392 10113828 12707088 13485104 16942784 20227656 25414176 26970208 33885568 40455312 50828352 53940416 80910624 101656704 107880832 161821248 323642496 223120316689 446240633378 669360950067 892481266756 1338721900134 1784962533512 2677443800268 3569925067024 5354887600536 7139850134048 10709775201072 14279700268096 21419550402144 28559400536192 42839100804288 85678201608576