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48616366608 = 24325310958441
BaseRepresentation
bin101101010001110000…
…101110001000010000
311122111011021022102200
4231101300232020100
51244031242212413
634200053243200
73340521204105
oct552160561020
9148434238380
1048616366608
1119688742887
129509633500
13477a201944
1424d2a7caac
1513e8184573
hexb51c2e210

48616366608 has 120 divisors (see below), whose sum is σ = 139899628440. Its totient is φ = 15753553920.

The previous prime is 48616366583. The next prime is 48616366609. The reversal of 48616366608 is 80666361684.

It can be written as a sum of positive squares in 4 ways, for example, as 28917682704 + 19698683904 = 170052^2 + 140352^2 .

It is a super-2 number, since 2×486163666082 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (48616366609) 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, 802668 + ... + 861108.

It is an arithmetic number, because the mean of its divisors is an integer number (1165830237).

Almost surely, 248616366608 is an apocalyptic number.

48616366608 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 48616366608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69949814220).

48616366608 is an abundant number, since it is smaller than the sum of its proper divisors (91283261832).

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

48616366608 is a wasteful number, since it uses less digits than its factorization.

48616366608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58617 (or 58608 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 48616366608 in words is "forty-eight billion, six hundred sixteen million, three hundred sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 109 144 159 212 218 318 327 424 436 477 636 654 848 872 954 981 1272 1308 1744 1908 1962 2544 2616 3816 3924 5232 5777 7632 7848 11554 15696 17331 23108 34662 46216 51993 58441 69324 92432 103986 116882 138648 175323 207972 233764 277296 350646 415944 467528 525969 701292 831888 935056 1051938 1402584 2103876 2805168 3097373 4207752 6194746 6370069 8415504 9292119 12389492 12740138 18584238 19110207 24778984 25480276 27876357 37168476 38220414 49557968 50960552 55752714 57330621 74336952 76440828 101921104 111505428 114661242 148673904 152881656 223010856 229322484 305763312 337613657 446021712 458644968 675227314 917289936 1012840971 1350454628 2025681942 2700909256 3038522913 4051363884 5401818512 6077045826 8102727768 12154091652 16205455536 24308183304 48616366608