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20001201504 = 2531913978889
BaseRepresentation
bin10010101000001010…
…100001110101100000
31220121220210022101220
4102220022201311200
5311430301422004
613104411055040
71305435256554
oct225012416540
956556708356
1020001201504
11853417a7a9
123a62441480
131b69a0879b
14d7a519864
157c0e06dd9
hex4a82a1d60

20001201504 has 96 divisors (see below), whose sum is σ = 55664784000. Its totient is φ = 6270649344.

The previous prime is 20001201499. The next prime is 20001201509. The reversal of 20001201504 is 40510210002.

It is an interprime number because it is at equal distance from previous prime (20001201499) and next prime (20001201509).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200012015042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001201509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214092 + ... + 292980.

It is an arithmetic number, because the mean of its divisors is an integer number (579841500).

Almost surely, 220001201504 is an apocalyptic number.

20001201504 is a gapful number since it is divisible by the number (24) 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 20001201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27832392000).

20001201504 is an abundant number, since it is smaller than the sum of its proper divisors (35663582496).

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

20001201504 is a wasteful number, since it uses less digits than its factorization.

20001201504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79060 (or 79052 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20001201504 its reverse (40510210002), we get a palindrome (60511411506).

The spelling of 20001201504 in words is "twenty billion, one million, two hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 139 152 228 278 304 417 456 556 608 834 912 1112 1668 1824 2224 2641 3336 4448 5282 6672 7923 10564 13344 15846 21128 31692 42256 63384 78889 84512 126768 157778 236667 253536 315556 473334 631112 946668 1262224 1498891 1893336 2524448 2997782 3786672 4496673 5995564 7573344 8993346 10965571 11991128 17986692 21931142 23982256 32896713 35973384 43862284 47964512 65793426 71946768 87724568 131586852 143893536 175449136 208345849 263173704 350898272 416691698 526347408 625037547 833383396 1052694816 1250075094 1666766792 2500150188 3333533584 5000300376 6667067168 10000600752 20001201504