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20004264660 = 22353179136139
BaseRepresentation
bin10010101000010110…
…001101101011010100
31220122010112221021010
4102220112031223110
5311432042432120
613105000452220
71305503305212
oct225026155324
956563487233
1020004264660
118535982136
123a6347a070
131b6a53bac3
14d7aab5cb2
157c130e7e0
hex4a858dad4

20004264660 has 96 divisors (see below), whose sum is σ = 58551091200. Its totient is φ = 5097006720.

The previous prime is 20004264659. The next prime is 20004264661. The reversal of 20004264660 is 6646240002.

It is an interprime number because it is at equal distance from previous prime (20004264659) and next prime (20004264661).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004264661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78871 + ... + 215009.

It is an arithmetic number, because the mean of its divisors is an integer number (609907200).

Almost surely, 220004264660 is an apocalyptic number.

20004264660 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 20004264660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29275545600).

20004264660 is an abundant number, since it is smaller than the sum of its proper divisors (38546826540).

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

20004264660 is a wasteful number, since it uses less digits than its factorization.

20004264660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136261 (or 136259 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 20004264660 in words is "twenty billion, four million, two hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 1185 1580 1860 2370 2449 4740 4898 7347 9796 12245 14694 24490 29388 36735 48980 73470 136139 146940 272278 408417 544556 680695 816834 1361390 1633668 2042085 2722780 4084170 4220309 8168340 8440618 10754981 12660927 16881236 21101545 21509962 25321854 32264943 42203090 43019924 50643708 53774905 63304635 64529886 84406180 107549810 126609270 129059772 161324715 215099620 253218540 322649430 333404411 645298860 666808822 1000213233 1333617644 1667022055 2000426466 3334044110 4000852932 5001066165 6668088220 10002132330 20004264660