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55215215120 = 24513353150401
BaseRepresentation
bin110011011011000101…
…010101001000010000
312021112001011112211102
4303123011111020100
51401040043340440
641210541403532
73663166404362
oct633305251020
9167461145742
1055215215120
112146460539a
12a84b5695a8
13528c382130
14295b214d32
15168265db15
hexcdb155210

55215215120 has 80 divisors (see below), whose sum is σ = 138642970032. Its totient is φ = 20329267200.

The previous prime is 55215215119. The next prime is 55215215129. The reversal of 55215215120 is 2151251255.

It can be written as a sum of positive squares in 8 ways, for example, as 1547006224 + 53668208896 = 39332^2 + 231664^2 .

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

It is a super-2 number, since 2×552152151202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55215215129) 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, 291920 + ... + 442320.

Almost surely, 255215215120 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 55215215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69321485016).

55215215120 is an abundant number, since it is smaller than the sum of its proper divisors (83427754912).

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

55215215120 is a wasteful number, since it uses less digits than its factorization.

55215215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150780 (or 150774 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 29.

Adding to 55215215120 its reverse (2151251255), we get a palindrome (57366466375).

The spelling of 55215215120 in words is "fifty-five billion, two hundred fifteen million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 353 520 706 1040 1412 1765 2824 3530 4589 5648 7060 9178 14120 18356 22945 28240 36712 45890 73424 91780 150401 183560 300802 367120 601604 752005 1203208 1504010 1955213 2406416 3008020 3910426 6016040 7820852 9776065 12032080 15641704 19552130 31283408 39104260 53091553 78208520 106183106 156417040 212366212 265457765 424732424 530915530 690190189 849464848 1061831060 1380380378 2123662120 2760760756 3450950945 4247324240 5521521512 6901901890 11043043024 13803803780 27607607560 55215215120