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49646430720 = 293252154793
BaseRepresentation
bin101110001111001010…
…000110101000000000
311202010221111222202100
4232033022012220000
51303133441240340
634450211150400
73405166461345
oct561712065000
9152127458670
1049646430720
111a067130237
1297565a5400
1348b2737033
14258d7b47cc
151458803830
hexb8f286a00

49646430720 has 120 divisors (see below), whose sum is σ = 171939632436. Its totient is φ = 13239042048.

The previous prime is 49646430707. The next prime is 49646430727. The reversal of 49646430720 is 2703464694.

It is a happy number.

49646430720 is a `hidden beast` number, since 4 + 96 + 464 + 30 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45686497536 + 3959933184 = 213744^2 + 62928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49646430727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054357 + ... + 1100436.

Almost surely, 249646430720 is an apocalyptic number.

49646430720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49646430720 is an abundant number, since it is smaller than the sum of its proper divisors (122293201716).

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

49646430720 is a wasteful number, since it uses less digits than its factorization.

49646430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154822 (or 2154803 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 49646430720 in words is "forty-nine billion, six hundred forty-six million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 2154793 4309586 6464379 8619172 10773965 12928758 17238344 19393137 21547930 25857516 32321895 34476688 38786274 43095860 51715032 64643790 68953376 77572548 86191720 96965685 103430064 129287580 137906752 155145096 172383440 193931370 206860128 258575160 275813504 310290192 344766880 387862740 413720256 517150320 551627008 620580384 689533760 775725480 827440512 1034300640 1103254016 1241160768 1379067520 1551450960 1654881024 2068601280 2482321536 2758135040 3102901920 3309762048 4137202560 4964643072 5516270080 6205803840 8274405120 9929286144 12411607680 16548810240 24823215360 49646430720