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48577340112 = 2437243480317
BaseRepresentation
bin101101001111011011…
…110110001011010000
311122101102211120010220
4231033123312023100
51243441244340422
634152140553040
73336535402200
oct551733661320
9148342746126
1048577340112
1119668707684
1294b8552780
1347720b9242
1424cb800400
1513e4a25e5c
hexb4f6f62d0

48577340112 has 120 divisors (see below), whose sum is σ = 149375055456. Its totient is φ = 13556438784.

The previous prime is 48577340087. The next prime is 48577340153. The reversal of 48577340112 is 21104377584.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 139023 + ... + 341294.

Almost surely, 248577340112 is an apocalyptic number.

48577340112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48577340112 is an abundant number, since it is smaller than the sum of its proper divisors (100797715344).

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

48577340112 is a wasteful number, since it uses less digits than its factorization.

48577340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480385 (or 480372 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 48577340112 in words is "forty-eight billion, five hundred seventy-seven million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1032 1176 1204 1806 2064 2107 2352 2408 3612 4214 4816 6321 7224 8428 12642 14448 16856 25284 33712 50568 101136 480317 960634 1440951 1921268 2881902 3362219 3842536 5763804 6724438 7685072 10086657 11527608 13448876 20173314 20653631 23055216 23535533 26897752 40346628 41307262 47071066 53795504 61960893 70606599 80693256 82614524 94142132 123921786 141213198 144575417 161386512 165229048 188284264 247843572 282426396 289150834 330458096 376568528 433726251 495687144 564852792 578301668 867452502 991374288 1012027919 1129705584 1156603336 1734905004 2024055838 2313206672 3036083757 3469810008 4048111676 6072167514 6939620016 8096223352 12144335028 16192446704 24288670056 48577340112