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55830550304 = 2519237130621
BaseRepresentation
bin110011111111110000…
…101001011100100000
312100002221000211000102
4303333300221130200
51403320110102204
641352002241532
74014350563454
oct637760513440
9170087024012
1055830550304
112174a987871
12a9a16562a8
1353599b9aa9
1429b8c30664
1516bb6aa41e
hexcffc29720

55830550304 has 72 divisors (see below), whose sum is σ = 119142154908. Its totient is φ = 25731095040.

The previous prime is 55830550249. The next prime is 55830550417. The reversal of 55830550304 is 40305503855.

It can be written as a sum of positive squares in 2 ways, for example, as 54686757904 + 1143792400 = 233852^2 + 33820^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362114 + ... + 492734.

Almost surely, 255830550304 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 55830550304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59571077454).

55830550304 is an abundant number, since it is smaller than the sum of its proper divisors (63311604604).

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

55830550304 is a wasteful number, since it uses less digits than its factorization.

55830550304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130706 (or 130679 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 55830550304 in words is "fifty-five billion, eight hundred thirty million, five hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 361 592 608 703 722 1184 1406 1444 2812 2888 5624 5776 11248 11552 13357 22496 26714 53428 106856 130621 213712 261242 427424 522484 1044968 2089936 2481799 4179872 4832977 4963598 9665954 9927196 19331908 19854392 38663816 39708784 47154181 77327632 79417568 91826563 94308362 154655264 183653126 188616724 367306252 377233448 734612504 754466896 1469225008 1508933792 1744704697 2938450016 3489409394 6978818788 13957637576 27915275152 55830550304