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48772402416 = 24321758733941
BaseRepresentation
bin101101011011000011…
…111100110011110000
311122220000212202022200
4231123003330303300
51244341213334131
634223345503200
73344424403023
oct553303746360
9148800782280
1048772402416
11197588278a1
129551941b00
1347a3634c1a
1425096991ba
151406c072e6
hexb5b0fccf0

48772402416 has 120 divisors (see below), whose sum is σ = 144774577584. Its totient is φ = 15274629120.

The previous prime is 48772402409. The next prime is 48772402417. The reversal of 48772402416 is 61420427784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48772402417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420006 + ... + 1453946.

Almost surely, 248772402416 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 48772402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72387288792).

48772402416 is an abundant number, since it is smaller than the sum of its proper divisors (96002175168).

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

48772402416 is a wasteful number, since it uses less digits than its factorization.

48772402416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34559 (or 34550 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 48772402416 in words is "forty-eight billion, seven hundred seventy-two million, four hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 587 612 816 1174 1224 1761 2348 2448 3522 4696 5283 7044 9392 9979 10566 14088 19958 21132 28176 29937 33941 39916 42264 59874 67882 79832 84528 89811 101823 119748 135764 159664 179622 203646 239496 271528 305469 359244 407292 478992 543056 576997 610938 718488 814584 1153994 1221876 1436976 1629168 1730991 2307988 2443752 3461982 4615976 4887504 5192973 6923964 9231952 10385946 13847928 19923367 20771892 27695856 39846734 41543784 59770101 79693468 83087568 119540202 159386936 179310303 239080404 318773872 338697239 358620606 478160808 677394478 717241212 956321616 1016091717 1354788956 1434482424 2032183434 2709577912 2868964848 3048275151 4064366868 5419155824 6096550302 8128733736 12193100604 16257467472 24386201208 48772402416