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55537992224 = 251113103117833
BaseRepresentation
bin110011101110010100…
…101000001000100000
312022100112112022202222
4303232110220020200
51402220211222344
641302551530212
74004166100451
oct635624501040
9168315468688
1055537992224
112160a826630
12a91b689968
1353111c63c0
14298c037128
1516a0b6b5ee
hexcee528220

55537992224 has 96 divisors (see below), whose sum is σ = 129704125824. Its totient is φ = 23076218880.

The previous prime is 55537992187. The next prime is 55537992269. The reversal of 55537992224 is 42229973555.

It is a Cunningham number, because it is equal to 2356652-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412412 + ... + 530244.

It is an arithmetic number, because the mean of its divisors is an integer number (1351084644).

Almost surely, 255537992224 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 55537992224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64852062912).

55537992224 is an abundant number, since it is smaller than the sum of its proper divisors (74166133600).

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

55537992224 is a wasteful number, since it uses less digits than its factorization.

55537992224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117970 (or 117962 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 53.

The spelling of 55537992224 in words is "fifty-five billion, five hundred thirty-seven million, nine hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 103 104 143 176 206 208 286 352 412 416 572 824 1133 1144 1339 1648 2266 2288 2678 3296 4532 4576 5356 9064 10712 14729 18128 21424 29458 36256 42848 58916 117832 117833 235664 235666 471328 471332 942664 1296163 1531829 1885328 2592326 3063658 3770656 5184652 6127316 10369304 12136799 12254632 16850119 20738608 24273598 24509264 33700238 41477216 48547196 49018528 67400476 97094392 133504789 134800952 157778387 194188784 267009578 269601904 315556774 388377568 534019156 539203808 631113548 1068038312 1262227096 1735562257 2136076624 2524454192 3471124514 4272153248 5048908384 6942249028 13884498056 27768996112 55537992224