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48086650752 = 2737145112329
BaseRepresentation
bin101100110010001100…
…000000111110000000
311121010020111221212220
4230302030000332000
51241440140311002
634031331451040
73321426534030
oct546214007600
9147106457786
1048086650752
111943672a488
1293a0156a80
1346c4543cca
14248258d8c0
1513b68eb7bc
hexb32300f80

48086650752 has 128 divisors (see below), whose sum is σ = 146089785600. Its totient is φ = 13728460800.

The previous prime is 48086650691. The next prime is 48086650771. The reversal of 48086650752 is 25705668084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480866507523 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48086650695 and 48086650704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3894124 + ... + 3906452.

It is an arithmetic number, because the mean of its divisors is an integer number (1141326450).

Almost surely, 248086650752 is an apocalyptic number.

48086650752 is a gapful number since it is divisible by the number (42) 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 48086650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73044892800).

48086650752 is an abundant number, since it is smaller than the sum of its proper divisors (98003134848).

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

48086650752 is a wasteful number, since it uses less digits than its factorization.

48086650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 48086650752 in words is "forty-eight billion, eighty-six million, six hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1451 2688 2902 4353 5804 8706 10157 11608 12329 17412 20314 23216 24658 30471 34824 36987 40628 46432 49316 60942 69648 73974 81256 86303 92864 98632 121884 139296 147948 162512 172606 185728 197264 243768 258909 278592 295896 325024 345212 394528 487536 517818 557184 591792 650048 690424 789056 975072 1035636 1183584 1300096 1380848 1578112 1950144 2071272 2367168 2761696 3900288 4142544 4734336 5523392 8285088 11046784 16570176 17889379 33140352 35778758 53668137 71557516 107336274 125225653 143115032 214672548 250451306 286230064 375676959 429345096 500902612 572460128 751353918 858690192 1001805224 1144920256 1502707836 1717380384 2003610448 2289840512 3005415672 3434760768 4007220896 6010831344 6869521536 8014441792 12021662688 16028883584 24043325376 48086650752