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49958813760 = 2635227229253
BaseRepresentation
bin101110100001110001…
…110000000001000000
311202221201022200201120
4232201301300001000
51304303424020020
634541210432240
73416011624152
oct564161600100
9152851280646
1049958813760
111a2074a2239
129823132680
13493237c27b
1425bd08cad2
151475e5b740
hexba1c70040

49958813760 has 112 divisors (see below), whose sum is σ = 159318691776. Its totient is φ = 13263603712.

The previous prime is 49958813759. The next prime is 49958813771. The reversal of 49958813760 is 6731885994.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49958813694 and 49958813703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103294 + ... + 332546.

Almost surely, 249958813760 is an apocalyptic number.

49958813760 is a gapful number since it is divisible by the number (40) 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 49958813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79659345888).

49958813760 is an abundant number, since it is smaller than the sum of its proper divisors (109359878016).

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

49958813760 is a wasteful number, since it uses less digits than its factorization.

49958813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229500 (or 229490 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 49958813760 in words is "forty-nine billion, nine hundred fifty-eight million, eight hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 227 240 320 454 480 681 908 960 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 14528 18160 21792 27240 36320 43584 54480 72640 108960 217920 229253 458506 687759 917012 1146265 1375518 1834024 2292530 2751036 3438795 3668048 4585060 5502072 6877590 7336096 9170120 11004144 13755180 14672192 18340240 22008288 27510360 36680480 44016576 52040431 55020720 73360960 104080862 110041440 156121293 208161724 220082880 260202155 312242586 416323448 520404310 624485172 780606465 832646896 1040808620 1248970344 1561212930 1665293792 2081617240 2497940688 3122425860 3330587584 4163234480 4995881376 6244851720 8326468960 9991762752 12489703440 16652937920 24979406880 49958813760