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48230000456 = 23112933615623
BaseRepresentation
bin101100111010101110…
…110110011101001000
311121111020020212201012
4230322232312131020
51242233340003311
634053452143052
73325120145141
oct547256663510
9147436225635
1048230000456
11194aa63a210
129420167a88
134718154c11
142497626ac8
1513c42b578b
hexb3abb6748

48230000456 has 64 divisors (see below), whose sum is σ = 102102595200. Its totient is φ = 21156710400.

The previous prime is 48230000449. The next prime is 48230000459. The reversal of 48230000456 is 65400003284.

It is a super-2 number, since 2×482300004562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48230000459) 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, 8574461 + ... + 8580083.

It is an arithmetic number, because the mean of its divisors is an integer number (1595353050).

Almost surely, 248230000456 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 48230000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51051297600).

48230000456 is an abundant number, since it is smaller than the sum of its proper divisors (53872594744).

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

48230000456 is a wasteful number, since it uses less digits than its factorization.

48230000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 48230000456 in words is "forty-eight billion, two hundred thirty million, four hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 3361 5623 6722 11246 13444 22492 26888 36971 44984 61853 73942 97469 123706 147884 163067 194938 247412 295768 326134 389876 494824 652268 779752 1072159 1304536 1793737 2144318 3587474 4288636 7174948 8577272 14349896 18898903 37797806 75595612 151191224 207887933 415775866 548068187 831551732 1096136374 1663103464 2192272748 4384545496 6028750057 12057500114 24115000228 48230000456