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51101422400 = 265274562627
BaseRepresentation
bin101111100101111000…
…011101001101000000
311212220100100020010002
4233211320131031000
51314123431004100
635250424455132
73456224631530
oct574570351500
9155810306102
1051101422400
111a743469aa6
129aa191a4a8
134a84ccac62
14268ab1d4c0
1514e140c2d5
hexbe5e1d340

51101422400 has 84 divisors (see below), whose sum is σ = 143704531488. Its totient is φ = 17520483840.

The previous prime is 51101422387. The next prime is 51101422403. The reversal of 51101422400 is 422410115.

It is a happy number.

51101422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511014224002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51101422403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2270114 + ... + 2292513.

It is an arithmetic number, because the mean of its divisors is an integer number (1710768232).

Almost surely, 251101422400 is an apocalyptic number.

51101422400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51101422400 is an abundant number, since it is smaller than the sum of its proper divisors (92603109088).

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

51101422400 is a wasteful number, since it uses less digits than its factorization.

51101422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562656 (or 4562641 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 51101422400 its reverse (422410115), we get a palindrome (51523832515).

The spelling of 51101422400 in words is "fifty-one billion, one hundred one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 4562627 9125254 18250508 22813135 31938389 36501016 45626270 63876778 73002032 91252540 114065675 127753556 146004064 159691945 182505080 228131350 255507112 292008128 319383890 365010160 456262700 511014224 638767780 730020320 798459725 912525400 1022028448 1277535560 1460040640 1596919450 1825050800 2044056896 2555071120 3193838900 3650101600 5110142240 6387677800 7300203200 10220284480 12775355600 25550711200 51101422400