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50291002400 = 2552318392417
BaseRepresentation
bin101110110101100100…
…111100110000100000
311210210212101121212112
4232311210330300200
51310443444034100
635034154414452
73430154316152
oct566544746040
9153725347775
1050291002400
111a367a61501
1298b6431428
13498613a2b2
142611240ad2
1514951c7b35
hexbb593cc20

50291002400 has 144 divisors (see below), whose sum is σ = 126936875520. Its totient is φ = 19436236800.

The previous prime is 50291002351. The next prime is 50291002423. The reversal of 50291002400 is 420019205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20805992 + ... + 20808408.

It is an arithmetic number, because the mean of its divisors is an integer number (881506080).

Almost surely, 250291002400 is an apocalyptic number.

50291002400 is a gapful number since it is divisible by the number (50) 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 50291002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63468437760).

50291002400 is an abundant number, since it is smaller than the sum of its proper divisors (76645873120).

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

50291002400 is a wasteful number, since it uses less digits than its factorization.

50291002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 50291002400 in words is "fifty billion, two hundred ninety-one million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 839 992 1240 1550 1678 2417 2480 3100 3356 4195 4834 4960 6200 6712 8390 9668 12085 12400 13424 16780 19336 20975 24170 24800 26009 26848 33560 38672 41950 48340 52018 60425 67120 74927 77344 83900 96680 104036 120850 130045 134240 149854 167800 193360 208072 241700 260090 299708 335600 374635 386720 416144 483400 520180 599416 650225 671200 749270 832288 966800 1040360 1198832 1300450 1498540 1873175 1933600 2027863 2080720 2397664 2600900 2997080 3746350 4055726 4161440 5201800 5994160 7492700 8111452 10139315 10403600 11988320 14985400 16222904 20278630 20807200 29970800 32445808 40557260 50696575 59941600 62863753 64891616 81114520 101393150 125727506 162229040 202786300 251455012 314318765 324458080 405572600 502910024 628637530 811145200 1005820048 1257275060 1571593825 1622290400 2011640096 2514550120 3143187650 5029100240 6286375300 10058200480 12572750600 25145501200 50291002400