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50016779424 = 253510959011
BaseRepresentation
bin101110100101001110…
…110111110010100000
311210002202101122200000
4232211032313302200
51304413243420144
634551041100000
73420314416233
oct564516676240
9153082348600
1050016779424
111a237193747
12983a627600
134941396291
1425c6a5b41a
15147b0ab769
hexba53b7ca0

50016779424 has 144 divisors (see below), whose sum is σ = 148858950240. Its totient is φ = 16519023360.

The previous prime is 50016779419. The next prime is 50016779447. The reversal of 50016779424 is 42497761005.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 50016779424.

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 23 ways as a sum of consecutive naturals, for example, 818079 + ... + 877089.

It is an arithmetic number, because the mean of its divisors is an integer number (1033742710).

Almost surely, 250016779424 is an apocalyptic number.

50016779424 is a gapful number since it is divisible by the number (54) 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 50016779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74429475120).

50016779424 is an abundant number, since it is smaller than the sum of its proper divisors (98842170816).

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

50016779424 is a wasteful number, since it uses less digits than its factorization.

50016779424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59145 (or 59125 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 50016779424 in words is "fifty billion, sixteen million, seven hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 243 288 324 327 432 436 486 648 654 864 872 972 981 1296 1308 1744 1944 1962 2592 2616 2943 3488 3888 3924 5232 5886 7776 7848 8829 10464 11772 15696 17658 23544 26487 31392 35316 47088 52974 59011 70632 94176 105948 118022 141264 177033 211896 236044 282528 354066 423792 472088 531099 708132 847584 944176 1062198 1416264 1593297 1888352 2124396 2832528 3186594 4248792 4779891 5665056 6373188 6432199 8497584 9559782 12746376 12864398 14339673 16995168 19119564 19296597 25492752 25728796 28679346 38239128 38593194 50985504 51457592 57358692 57889791 76478256 77186388 102915184 114717384 115779582 152956512 154372776 173669373 205830368 229434768 231559164 308745552 347338746 458869536 463118328 521008119 617491104 694677492 926236656 1042016238 1389354984 1563024357 1852473312 2084032476 2778709968 3126048714 4168064952 5557419936 6252097428 8336129904 12504194856 16672259808 25008389712 50016779424