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50778668448 = 2533179328333
BaseRepresentation
bin101111010010101001…
…001111110110100000
311212001212000121221000
4233102221033312200
51312443314342243
635154415032000
73445225363104
oct572251176640
9155055017830
1050778668448
111a5982641a2
129a1180b600
134a331943a1
142659d05904
1514c2e065d3
hexbd2a4fda0

50778668448 has 96 divisors (see below), whose sum is σ = 148932302400. Its totient is φ = 16831611648.

The previous prime is 50778668401. The next prime is 50778668477. The reversal of 50778668448 is 84486687705.

50778668448 is a `hidden beast` number, since 50 + 7 + 7 + 86 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9511 + ... + 318822.

It is an arithmetic number, because the mean of its divisors is an integer number (1551378150).

Almost surely, 250778668448 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 50778668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74466151200).

50778668448 is an abundant number, since it is smaller than the sum of its proper divisors (98153633952).

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

50778668448 is a wasteful number, since it uses less digits than its factorization.

50778668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328531 (or 328517 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 50778668448 in words is "fifty billion, seven hundred seventy-eight million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 179 216 288 358 432 537 716 864 1074 1432 1611 2148 2864 3222 4296 4833 5728 6444 8592 9666 12888 17184 19332 25776 38664 51552 77328 154656 328333 656666 984999 1313332 1969998 2626664 2954997 3939996 5253328 5909994 7879992 8864991 10506656 11819988 15759984 17729982 23639976 31519968 35459964 47279952 58771607 70919928 94559904 117543214 141839856 176314821 235086428 283679712 352629642 470172856 528944463 705259284 940345712 1057888926 1410518568 1586833389 1880691424 2115777852 2821037136 3173666778 4231555704 5642074272 6347333556 8463111408 12694667112 16926222816 25389334224 50778668448