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20501133440 = 27598332587
BaseRepresentation
bin10011000101111101…
…100111100010000000
31221220202111111002112
4103011331213202000
5313441242232230
613230150234452
71324015521224
oct230575474200
957822444075
1020501133440
11877039aa97
123b81955a28
131c194688b8
14dc6a94784
157eec59d95
hex4c5f67880

20501133440 has 64 divisors (see below), whose sum is σ = 49061885760. Its totient is φ = 8191859712.

The previous prime is 20501133431. The next prime is 20501133451. The reversal of 20501133440 is 4433110502.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612827 + ... + 645413.

It is an arithmetic number, because the mean of its divisors is an integer number (766591965).

Almost surely, 220501133440 is an apocalyptic number.

20501133440 is a gapful number since it is divisible by the number (20) 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 20501133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530942880).

20501133440 is an abundant number, since it is smaller than the sum of its proper divisors (28560752320).

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

20501133440 is an equidigital number, since it uses as much as digits as its factorization.

20501133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33589 (or 33577 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20501133440 its reverse (4433110502), we get a palindrome (24934243942).

The spelling of 20501133440 in words is "twenty billion, five hundred one million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 983 1966 3932 4915 7864 9830 15728 19660 31456 32587 39320 62912 65174 78640 125824 130348 157280 162935 260696 314560 325870 521392 629120 651740 1042784 1303480 2085568 2606960 4171136 5213920 10427840 20855680 32033021 64066042 128132084 160165105 256264168 320330210 512528336 640660420 1025056672 1281320840 2050113344 2562641680 4100226688 5125283360 10250566720 20501133440