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48332223384 = 2337945195641
BaseRepresentation
bin101101000000110100…
…110011001110011000
311121202100121100012120
4231000310303032120
51242441022122014
634111543141240
73330501056154
oct550064631630
9147670540176
1048332223384
1119552309875
12944a444820
134733396463
1424a7036064
1513cd258ba9
hexb40d33398

48332223384 has 64 divisors (see below), whose sum is σ = 122408832000. Its totient is φ = 15900468480.

The previous prime is 48332223377. The next prime is 48332223403.

It is a happy number.

48332223384 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×483322233842 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 8565204 + ... + 8570844.

It is an arithmetic number, because the mean of its divisors is an integer number (1912638000).

Almost surely, 248332223384 is an apocalyptic number.

It is an amenable number.

48332223384 is an abundant number, since it is smaller than the sum of its proper divisors (74076608616).

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

48332223384 is a wasteful number, since it uses less digits than its factorization.

48332223384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248 (or 10244 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 48332223384 in words is "forty-eight billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 4519 5641 9038 11282 13557 16923 18076 22564 27114 33846 36152 45128 54228 67692 108456 135384 357001 445639 714002 891278 1071003 1336917 1428004 1782556 2142006 2673834 2856008 3565112 4284012 5347668 8568024 10695336 25491679 50983358 76475037 101966716 152950074 203933432 305900148 611800296 2013842641 4027685282 6041527923 8055370564 12083055846 16110741128 24166111692 48332223384