Search a number
-
+
55256380944 = 243191992511213
BaseRepresentation
bin110011011101100010…
…010111011000010000
312021121220121222201120
4303131202113120100
51401131113142234
641215012002240
73664206326352
oct633542273020
9167556558646
1055256380944
1121485871936
12a861300380
135297a664cb
14296288d0d2
151686091049
hexcdd897610

55256380944 has 160 divisors (see below), whose sum is σ = 151740288000. Its totient is φ = 17278272000.

The previous prime is 55256380939. The next prime is 55256380961. The reversal of 55256380944 is 44908365255.

It is a happy number.

It is a super-2 number, since 2×552563809442 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 45552882 + ... + 45554094.

It is an arithmetic number, because the mean of its divisors is an integer number (948376800).

Almost surely, 255256380944 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 55256380944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75870144000).

55256380944 is an abundant number, since it is smaller than the sum of its proper divisors (96483907056).

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

55256380944 is a wasteful number, since it uses less digits than its factorization.

55256380944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 55256380944 in words is "fifty-five billion, two hundred fifty-six million, three hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 251 304 398 456 502 597 753 796 912 1004 1194 1213 1506 1592 2008 2388 2426 3012 3184 3639 3781 4016 4769 4776 4852 6024 7278 7562 9538 9552 9704 11343 12048 14307 14556 15124 19076 19408 22686 23047 28614 29112 30248 38152 45372 46094 49949 57228 58224 60496 69141 76304 90744 92188 99898 114456 138282 149847 181488 184376 199796 228912 241387 276564 299694 304463 368752 399592 482774 553128 599388 608926 724161 799184 913389 949031 965548 1106256 1198776 1217852 1448322 1826778 1898062 1931096 2397552 2435704 2847093 2896644 3653556 3796124 3862192 4586353 4871408 5694186 5784797 5793288 7307112 7592248 9172706 11388372 11569594 11586576 13759059 14614224 15184496 17354391 18345412 22776744 23139188 27518118 34708782 36690824 45553488 46278376 55036236 60588137 69417564 73381648 92556752 110072472 121176274 138835128 181764411 220144944 242352548 277670256 363528822 484705096 727057644 969410192 1151174603 1454115288 2302349206 2908230576 3453523809 4604698412 6907047618 9209396824 13814095236 18418793648 27628190472 55256380944