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54224075696 = 2477113949057
BaseRepresentation
bin110010100000000000…
…011011101110110000
312011221222011110010212
4302200000123232300
51342022330410241
640524334043252
73626503016150
oct624000335660
9164858143125
1054224075696
1120aa60936aa
12a613649528
135161c27cbb
1428a5732760
15162562cbeb
hexca001bbb0

54224075696 has 80 divisors (see below), whose sum is σ = 122637150720. Its totient is φ = 22746286080.

The previous prime is 54224075641. The next prime is 54224075743. The reversal of 54224075696 is 69657042245.

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, 1080800 + ... + 1129856.

It is an arithmetic number, because the mean of its divisors is an integer number (1532964384).

Almost surely, 254224075696 is an apocalyptic number.

54224075696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54224075696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318575360).

54224075696 is an abundant number, since it is smaller than the sum of its proper divisors (68413075024).

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

54224075696 is a wasteful number, since it uses less digits than its factorization.

54224075696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49282 (or 49276 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 54224075696 in words is "fifty-four billion, two hundred twenty-four million, seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 139 142 278 284 497 556 568 973 994 1112 1136 1946 1988 2224 3892 3976 7784 7952 9869 15568 19738 39476 49057 69083 78952 98114 138166 157904 196228 276332 343399 392456 552664 686798 784912 1105328 1373596 2747192 3483047 5494384 6818923 6966094 13637846 13932188 24381329 27275692 27864376 47732461 48762658 54551384 55728752 95464922 97525316 109102768 190929844 195050632 381859688 390101264 484143533 763719376 968287066 1936574132 3389004731 3873148264 6778009462 7746296528 13556018924 27112037848 54224075696