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55500005504 = 277338915269
BaseRepresentation
bin110011101100000011…
…101110000010000000
312022020220001101210102
4303230003232002000
51402131000134004
641255113421532
74003225156136
oct635403560200
9168226041712
1055500005504
11215a0340649
12a90aa0a8a8
135306386058
142986d89756
15169c66611e
hexcec0ee080

55500005504 has 64 divisors (see below), whose sum is σ = 112376511000. Its totient is φ = 27297718272.

The previous prime is 55500005489. The next prime is 55500005543. The reversal of 55500005504 is 40550000555.

It can be written as a sum of positive squares in 4 ways, for example, as 41717245504 + 13782760000 = 204248^2 + 117400^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×555000055042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3627182 + ... + 3642450.

Almost surely, 255500005504 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 55500005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56188255500).

55500005504 is an abundant number, since it is smaller than the sum of its proper divisors (56876505496).

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

55500005504 is a wasteful number, since it uses less digits than its factorization.

55500005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15745 (or 15733 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 29.

The spelling of 55500005504 in words is "fifty-five billion, five hundred million, five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 389 584 778 1168 1556 2336 3112 4672 6224 9344 12448 15269 24896 28397 30538 49792 56794 61076 113588 122152 227176 244304 454352 488608 908704 977216 1114637 1817408 1954432 2229274 3634816 4458548 5939641 8917096 11879282 17834192 23758564 35668384 47517128 71336768 95034256 142673536 190068512 380137024 433593793 760274048 867187586 1734375172 3468750344 6937500688 13875001376 27750002752 55500005504