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49396457152 = 2671312113989
BaseRepresentation
bin101110000000010000…
…100001111011000000
311201111112011000111001
4232000100201323000
51302130443112102
634405321301344
73366042646420
oct560020417300
9151445130431
1049396457152
1119a49015409
1296a6934854
134872a03693
142568504480
1514418c7487
hexb80421ec0

49396457152 has 112 divisors (see below), whose sum is σ = 113442658560. Its totient is φ = 20903500800.

The previous prime is 49396457147. The next prime is 49396457153. The reversal of 49396457152 is 25175469394.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×493964571522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49396457093 and 49396457102.

It is not an unprimeable number, because it can be changed into a prime (49396457153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12381174 + ... + 12385162.

It is an arithmetic number, because the mean of its divisors is an integer number (1012880880).

Almost surely, 249396457152 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 49396457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56721329280).

49396457152 is an abundant number, since it is smaller than the sum of its proper divisors (64046201408).

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

49396457152 is a wasteful number, since it uses less digits than its factorization.

49396457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4340 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The spelling of 49396457152 in words is "forty-nine billion, three hundred ninety-six million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 211 224 262 422 448 524 844 917 1048 1477 1688 1834 2096 2954 3376 3668 3989 4192 5908 6752 7336 7978 8384 11816 13504 14672 15956 23632 27641 27923 29344 31912 47264 55282 55846 58688 63824 94528 110564 111692 127648 193487 221128 223384 255296 386974 442256 446768 522559 773948 841679 884512 893536 1045118 1547896 1683358 1769024 1787072 2090236 3095792 3366716 3657913 4180472 5891753 6191584 6733432 7315826 8360944 11783506 12383168 13466864 14631652 16721888 23567012 26933728 29263304 33443776 47134024 53867456 58526608 94268048 110259949 117053216 188536096 220519898 234106432 377072192 441039796 771819643 882079592 1543639286 1764159184 3087278572 3528318368 6174557144 7056636736 12349114288 24698228576 49396457152