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550510000056 = 2332113604311197
BaseRepresentation
bin10000000001011001111…
…00111111011110111000
31221121221222200120102100
420000230330333132320
533004421030000211
61100522323503400
754526102535622
oct10005474773670
91847858616370
10550510000056
111a25195a80a5
128a838827b60
133cbb3764483
141c90558dc12
15e4c0169156
hex802cf3f7b8

550510000056 has 96 divisors (see below), whose sum is σ = 1504542227760. Its totient is φ = 181833071616.

The previous prime is 550510000003. The next prime is 550510000081. The reversal of 550510000056 is 650000015055.

550510000056 is a `hidden beast` number, since 5 + 505 + 100 + 0 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×5505100000562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 550509999984 and 550510000029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49160250 + ... + 49171446.

Almost surely, 2550510000056 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 550510000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752271113880).

550510000056 is an abundant number, since it is smaller than the sum of its proper divisors (954032227704).

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

550510000056 is a wasteful number, since it uses less digits than its factorization.

550510000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17365 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 550510000056 in words is "five hundred fifty billion, five hundred ten million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 6043 8136 11197 12086 18129 22394 24172 33591 36258 44788 48344 54387 67182 72516 89576 100773 108774 134364 145032 201546 217548 268728 403092 435096 682859 806184 1265261 1365718 2048577 2530522 2731436 3795783 4097154 5061044 5462872 6145731 7591566 8194308 10122088 11387349 12291462 15183132 16388616 22774698 24582924 30366264 45549396 49165848 67663471 91098792 135326942 202990413 270653884 405980826 541307768 608971239 811961652 1217942478 1623923304 2435884956 4871769912 7645972223 15291944446 22937916669 30583888892 45875833338 61167777784 68813750007 91751666676 137627500014 183503333352 275255000028 550510000056