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49807050920 = 23511241250993
BaseRepresentation
bin101110011000101110…
…110100100010101000
311202120010202100020122
4232120232310202220
51304001101112140
634514145542412
73412156642664
oct563056644250
9152503670218
1049807050920
111a139866600
1297a0344a08
134909ab3b83
1425a6c658a4
15146797eab5
hexb98bb48a8

49807050920 has 96 divisors (see below), whose sum is σ = 126184723560. Its totient is φ = 17669836800.

The previous prime is 49807050913. The next prime is 49807050929. The reversal of 49807050920 is 2905070894.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20216858596 + 29590192324 = 142186^2 + 172018^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (49807050929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72944 + ... + 323936.

Almost surely, 249807050920 is an apocalyptic number.

49807050920 is a gapful number since it is divisible by the number (40) 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 49807050920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63092361780).

49807050920 is an abundant number, since it is smaller than the sum of its proper divisors (76377672640).

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

49807050920 is a wasteful number, since it uses less digits than its factorization.

49807050920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251067 (or 251052 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 49807050920 in words is "forty-nine billion, eight hundred seven million, fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 451 484 605 820 902 968 1210 1640 1804 2255 2420 3608 4510 4840 4961 9020 9922 18040 19844 24805 39688 49610 99220 198440 250993 501986 1003972 1254965 2007944 2509930 2760923 5019860 5521846 10039720 10290713 11043692 13804615 20581426 22087384 27609230 30370153 41162852 51453565 55218460 60740306 82325704 102907130 110436920 113197843 121480612 151850765 205814260 226395686 242961224 303701530 411628520 452791372 565989215 607403060 905582744 1131978430 1214806120 1245176273 2263956860 2490352546 4527913720 4980705092 6225881365 9961410184 12451762730 24903525460 49807050920