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48323233824 = 2531939766733
BaseRepresentation
bin101101000000010010…
…100000100000100000
311121201201200121211220
4231000102200200200
51242431221440244
634111022335040
73330331465425
oct550022404040
9147651617756
1048323233824
1119548229888
12944742a480
1347315697a8
1424a5b75d4c
1513cc580319
hexb404a0820

48323233824 has 96 divisors (see below), whose sum is σ = 133863065280. Its totient is φ = 15221302272.

The previous prime is 48323233753. The next prime is 48323233831. The reversal of 48323233824 is 42833232384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 690762 + ... + 757494.

It is an arithmetic number, because the mean of its divisors is an integer number (1394406930).

Almost surely, 248323233824 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 48323233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66931532640).

48323233824 is an abundant number, since it is smaller than the sum of its proper divisors (85539831456).

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

48323233824 is a wasteful number, since it uses less digits than its factorization.

48323233824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67162 (or 67154 counting only the distinct ones).

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

The spelling of 48323233824 in words is "forty-eight billion, three hundred twenty-three million, two hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 397 456 608 794 912 1191 1588 1824 2382 3176 4764 6352 7543 9528 12704 15086 19056 22629 30172 38112 45258 60344 66733 90516 120688 133466 181032 200199 241376 266932 362064 400398 533864 724128 800796 1067728 1267927 1601592 2135456 2535854 3203184 3803781 5071708 6406368 7607562 10143416 15215124 20286832 26493001 30430248 40573664 52986002 60860496 79479003 105972004 121720992 158958006 211944008 317916012 423888016 503367019 635832024 847776032 1006734038 1271664048 1510101057 2013468076 2543328096 3020202114 4026936152 6040404228 8053872304 12080808456 16107744608 24161616912 48323233824