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5050688640 = 27353184857
BaseRepresentation
bin1001011010000101…
…10110010010000000
3111000222202120022020
410231002312102000
540320434014030
62153101441440
7236106100524
oct45502662200
914028676266
105050688640
112161a89148
12b8b570280
136264c857a
1435cad7d84
151e861a510
hex12d0b6480

5050688640 has 128 divisors (see below), whose sum is σ = 16618590720. Its totient is φ = 1303388160.

The previous prime is 5050688639. The next prime is 5050688653. The reversal of 5050688640 is 468860505.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5050688592 and 5050688601.

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, 17092 + ... + 101948.

It is an arithmetic number, because the mean of its divisors is an integer number (129832740).

Almost surely, 25050688640 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 5050688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309295360).

5050688640 is an abundant number, since it is smaller than the sum of its proper divisors (11567902080).

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

5050688640 is a wasteful number, since it uses less digits than its factorization.

5050688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84910 (or 84898 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5050688640 is about 71068.1971067228. The cubic root of 5050688640 is about 1715.7349528968.

The spelling of 5050688640 in words is "five billion, fifty million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11904 14880 19840 29760 59520 84857 169714 254571 339428 424285 509142 678856 848570 1018284 1272855 1357712 1697140 2036568 2545710 2630567 2715424 3394280 4073136 5091420 5261134 5430848 6788560 7891701 8146272 10182840 10522268 10861696 13152835 13577120 15783402 16292544 20365680 21044536 26305670 27154240 31566804 32585088 39458505 40731360 42089072 52611340 54308480 63133608 78917010 81462720 84178144 105222680 126267216 157834020 162925440 168356288 210445360 252534432 315668040 336712576 420890720 505068864 631336080 841781440 1010137728 1262672160 1683562880 2525344320 5050688640