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55671614000 = 245337977331
BaseRepresentation
bin110011110110010010…
…010110101000110000
312022200211222000101122
4303312102112220300
51403003413122000
641324123521412
74010410624352
oct636622265060
9168624860348
1055671614000
11216791a1652
12a958389268
135332aac542
1429a1a9b0d2
1516ac763085
hexcf6496a30

55671614000 has 80 divisors (see below), whose sum is σ = 134667782496. Its totient is φ = 22259744000.

The previous prime is 55671613981. The next prime is 55671614147. The reversal of 55671614000 is 41617655.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7590335 + ... + 7597665.

Almost surely, 255671614000 is an apocalyptic number.

55671614000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55671614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67333891248).

55671614000 is an abundant number, since it is smaller than the sum of its proper divisors (78996168496).

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

55671614000 is a wasteful number, since it uses less digits than its factorization.

55671614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 55671614000 in words is "fifty-five billion, six hundred seventy-one million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3797 7331 7594 14662 15188 18985 29324 30376 36655 37970 58648 60752 73310 75940 94925 117296 146620 151880 183275 189850 293240 303760 366550 379700 474625 586480 733100 759400 916375 949250 1466200 1518800 1832750 1898500 2932400 3665500 3797000 7331000 7594000 14662000 27835807 55671614 111343228 139179035 222686456 278358070 445372912 556716140 695895175 1113432280 1391790350 2226864560 2783580700 3479475875 5567161400 6958951750 11134322800 13917903500 27835807000 55671614000