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55335610064 = 2475952116073
BaseRepresentation
bin110011100010010000…
…100110011011010000
312021211102201020122102
4303202100212123100
51401311404010224
641230522055532
73666160632140
oct634220463320
9167742636572
1055335610064
1121516566949
12a88394a5a8
1352ab2b6a47
14296d1d4920
15168cee14ae
hexce24266d0

55335610064 has 80 divisors (see below), whose sum is σ = 124852544640. Its totient is φ = 23267112960.

The previous prime is 55335610061. The next prime is 55335610067. The reversal of 55335610064 is 46001653355.

It is an interprime number because it is at equal distance from previous prime (55335610061) and next prime (55335610067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55335610061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3434732 + ... + 3450804.

It is an arithmetic number, because the mean of its divisors is an integer number (1560656808).

Almost surely, 255335610064 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 55335610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426272320).

55335610064 is an abundant number, since it is smaller than the sum of its proper divisors (69516934576).

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

55335610064 is a wasteful number, since it uses less digits than its factorization.

55335610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16668 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 55335610064 in words is "fifty-five billion, three hundred thirty-five million, six hundred ten thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 521 826 944 1042 1652 2084 3304 3647 4168 6608 7294 8336 14588 16073 29176 30739 32146 58352 61478 64292 112511 122956 128584 215173 225022 245912 257168 430346 450044 491824 860692 900088 948307 1721384 1800176 1896614 3442768 3793228 6638149 7586456 8374033 13276298 15172912 16748066 26552596 33496132 53105192 58618231 66992264 106210384 117236462 133984528 234472924 468945848 494067947 937891696 988135894 1976271788 3458475629 3952543576 6916951258 7905087152 13833902516 27667805032 55335610064