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49465580208 = 24311215975333
BaseRepresentation
bin101110000100011000…
…001101101010110000
311201200100012211111020
4232010120031222300
51302301142031313
634420231015440
73400542331362
oct560430155260
9151610184436
1049465580208
1119a84037600
129705b0a580
134884125cb5
142573778d32
1514479cd323
hexb8460dab0

49465580208 has 120 divisors (see below), whose sum is σ = 140573388144. Its totient is φ = 14977374720.

The previous prime is 49465580207. The next prime is 49465580209. The reversal of 49465580208 is 80208556494.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49465580207) and next prime (49465580209).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49465580207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9272710 + ... + 9278042.

Almost surely, 249465580208 is an apocalyptic number.

49465580208 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 49465580208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70286694072).

49465580208 is an abundant number, since it is smaller than the sum of its proper divisors (91107807936).

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

49465580208 is a wasteful number, since it uses less digits than its factorization.

49465580208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 49465580208 in words is "forty-nine billion, four hundred sixty-five million, five hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1597 1936 2904 3194 4791 5333 5808 6388 9582 10666 12776 15999 17567 19164 21332 25552 31998 35134 38328 42664 52701 58663 63996 70268 76656 85328 105402 117326 127992 140536 175989 193237 210804 234652 255984 281072 351978 386474 421608 469304 579711 645293 703956 772948 843216 938608 1159422 1290586 1407912 1545896 1935879 2318844 2581172 2815824 3091792 3871758 4637688 5162344 7743516 8516801 9275376 10324688 15487032 17033602 25550403 30974064 34067204 51100806 68134408 93684811 102201612 136268816 187369622 204403224 281054433 374739244 408806448 562108866 749478488 1030532921 1124217732 1498956976 2061065842 2248435464 3091598763 4122131684 4496870928 6183197526 8244263368 12366395052 16488526736 24732790104 49465580208