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55643854496 = 256140969697
BaseRepresentation
bin110011110100101000…
…011101011010100000
312022121220201200111212
4303310220131122200
51402424311320441
641321252525252
74006622650016
oct636450353240
9168556650455
1055643854496
112166456150a
12a94b020828
13532a1102b9
14299c1128b6
1516aa0cceeb
hexcf4a1d6a0

55643854496 has 48 divisors (see below), whose sum is σ = 111618559080. Its totient is φ = 27298529280.

The previous prime is 55643854489. The next prime is 55643854501. The reversal of 55643854496 is 69445834655.

It can be written as a sum of positive squares in 4 ways, for example, as 55430110096 + 213744400 = 235436^2 + 14620^2 .

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 763520 + ... + 833216.

Almost surely, 255643854496 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 55643854496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55809279540).

55643854496 is an abundant number, since it is smaller than the sum of its proper divisors (55974704584).

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

55643854496 is a wasteful number, since it uses less digits than its factorization.

55643854496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70177 (or 70169 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 59.

The spelling of 55643854496 in words is "fifty-five billion, six hundred forty-three million, eight hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 122 244 409 488 818 976 1636 1952 3272 6544 13088 24949 49898 69697 99796 139394 199592 278788 399184 557576 798368 1115152 2230304 4251517 8503034 17006068 28506073 34012136 57012146 68024272 114024292 136048544 228048584 456097168 912194336 1738870453 3477740906 6955481812 13910963624 27821927248 55643854496