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47993943888 = 243211151200657
BaseRepresentation
bin101100101100101010…
…010111011101010000
311120212210001221222100
4230230222113131100
51241242422201023
634014220440400
73316222535442
oct545452273520
9146783057870
1047993943888
111939936a440
1293750a9100
1346ab284c87
14247413a492
1513ad6d7c43
hexb2ca97750

47993943888 has 120 divisors (see below), whose sum is σ = 147498077376. Its totient is φ = 14447232000.

The previous prime is 47993943869. The next prime is 47993944013. The reversal of 47993943888 is 88834939974.

47993943888 is a `hidden beast` number, since 4 + 79 + 93 + 94 + 388 + 8 = 666.

47993943888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138856 + ... + 339512.

Almost surely, 247993943888 is an apocalyptic number.

47993943888 is a gapful number since it is divisible by the number (48) 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 47993943888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749038688).

47993943888 is an abundant number, since it is smaller than the sum of its proper divisors (99504133488).

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

47993943888 is a wasteful number, since it uses less digits than its factorization.

47993943888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200833 (or 200824 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 47993943888 in words is "forty-seven billion, nine hundred ninety-three million, nine hundred forty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 151 176 198 264 302 396 453 528 604 792 906 1208 1359 1584 1661 1812 2416 2718 3322 3624 4983 5436 6644 7248 9966 10872 13288 14949 19932 21744 26576 29898 39864 59796 79728 119592 200657 239184 401314 601971 802628 1203942 1605256 1805913 2207227 2407884 3210512 3611826 4414454 4815768 6621681 7223652 8828908 9631536 13243362 14447304 17657816 19865043 26486724 28894608 30299207 35315632 39730086 52973448 60598414 79460172 90897621 105946896 121196828 158920344 181795242 242393656 272692863 317840688 333291277 363590484 484787312 545385726 666582554 727180968 999873831 1090771452 1333165108 1454361936 1999747662 2181542904 2666330216 2999621493 3999495324 4363085808 5332660432 5999242986 7998990648 11998485972 15997981296 23996971944 47993943888