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55133657432 = 23741108722091
BaseRepresentation
bin110011010110001110…
…001101100101011000
312021022100200222201022
4303112032031211120
51400403204014212
641154505342012
73661156233020
oct632616154530
9167270628638
1055133657432
112142256a947
12a828197908
1352784c7a49
142950464a80
15167a3ed772
hexcd638d958

55133657432 has 64 divisors (see below), whose sum is σ = 121141923840. Its totient is φ = 23030150400.

The previous prime is 55133657431. The next prime is 55133657519. The reversal of 55133657432 is 23475633155.

It is a happy number.

55133657432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55133657431) 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, 2484707 + ... + 2506797.

It is an arithmetic number, because the mean of its divisors is an integer number (1892842560).

Almost surely, 255133657432 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 55133657432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60570961920).

55133657432 is an abundant number, since it is smaller than the sum of its proper divisors (66008266408).

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

55133657432 is a wasteful number, since it uses less digits than its factorization.

55133657432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23232 (or 23228 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 44.

The spelling of 55133657432 in words is "fifty-five billion, one hundred thirty-three million, six hundred fifty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1087 1148 2174 2296 4348 7609 8696 15218 22091 30436 44182 44567 60872 88364 89134 154637 176728 178268 309274 311969 356536 618548 623938 905731 1237096 1247876 1811462 2495752 3622924 6340117 7245848 12680234 24012917 25360468 48025834 50720936 96051668 168090419 192103336 336180838 672361676 984529597 1344723352 1969059194 3938118388 6891707179 7876236776 13783414358 27566828716 55133657432