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48618350792 = 231121923732
BaseRepresentation
bin101101010001111000…
…010010100011001000
311122111022000010012222
4231101320102203020
51244032244211132
634200203553212
73340544106644
oct552170224310
9148438003188
1048618350792
1119689878600
12950a22b808
13477a747b0b
1424d3037c24
1513e8427412
hexb51e128c8

48618350792 has 108 divisors (see below), whose sum is σ = 106035532785. Its totient is φ = 20880002880.

The previous prime is 48618350777. The next prime is 48618350821. The reversal of 48618350792 is 29705381684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 48525921796 + 92428996 = 220286^2 + 9614^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155914.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130343918 + ... + 130344290.

It is a 2-persistent number, because it is pandigital, and so is 2⋅48618350792 = 97236701584, but 3⋅48618350792 = 145855052376 is not.

Almost surely, 248618350792 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 48618350792

48618350792 is an abundant number, since it is smaller than the sum of its proper divisors (57417181993).

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

48618350792 is a wasteful number, since it uses less digits than its factorization.

48618350792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 48618350792 in words is "forty-eight billion, six hundred eighteen million, three hundred fifty thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 373 418 484 722 746 836 968 1444 1492 1672 2299 2888 2984 3971 4103 4598 7087 7942 8206 9196 14174 15884 16412 18392 28348 31768 32824 43681 45133 56696 77957 87362 90266 134653 139129 155914 174724 180532 269306 278258 311828 349448 361064 538612 556516 623656 857527 1077224 1113032 1481183 1530419 1715054 2643451 2962366 3060838 3430108 5286902 5924732 6121676 6860216 10573804 11849464 12243352 16293013 16834609 21147608 29077961 32586026 33669218 50225569 58155922 65172052 67338436 100451138 116311844 130344104 134676872 200902276 232623688 319857571 401804552 552481259 639715142 1104962518 1279430284 2209925036 2558860568 4419850072 6077293849 12154587698 24309175396 48618350792