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20333849040 = 2433571132589
BaseRepresentation
bin10010111011111111…
…011110100111010000
31221111002201120001000
4102323333132213100
5313120431132130
613201412542000
71316614602501
oct227377364720
957432646030
1020333849040
118694a2281a
123b35921900
131bc08c764b
14dac78aba8
157e0214260
hex4bbfde9d0

20333849040 has 160 divisors (see below), whose sum is σ = 71025811200. Its totient is φ = 5345948160.

The previous prime is 20333848999. The next prime is 20333849059. The reversal of 20333849040 is 4094833302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20333848986 and 20333849004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87066 + ... + 219654.

It is an arithmetic number, because the mean of its divisors is an integer number (443911320).

Almost surely, 220333849040 is an apocalyptic number.

20333849040 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 20333849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35512905600).

20333849040 is an abundant number, since it is smaller than the sum of its proper divisors (50691962160).

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

20333849040 is a wasteful number, since it uses less digits than its factorization.

20333849040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132682 (or 132670 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20333849040 in words is "twenty billion, three hundred thirty-three million, eight hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1420 1704 1917 2130 2160 2556 2840 3195 3408 3834 4260 5112 5680 6390 7668 8520 9585 10224 12780 15336 17040 19170 25560 30672 38340 51120 76680 132589 153360 265178 397767 530356 662945 795534 1060712 1193301 1325890 1591068 1988835 2121424 2386602 2651780 3182136 3579903 3977670 4773204 5303560 5966505 6364272 7159806 7955340 9413819 9546408 10607120 11933010 14319612 15910680 17899515 18827638 19092816 23866020 28241457 28639224 31821360 35799030 37655276 47069095 47732040 56482914 57278448 71598060 75310552 84724371 94138190 95464080 112965828 141207285 143196120 150621104 169448742 188276380 225931656 254173113 282414570 286392240 338897484 376552760 423621855 451863312 508346226 564829140 677794968 753105520 847243710 1016692452 1129658280 1270865565 1355589936 1694487420 2033384904 2259316560 2541731130 3388974840 4066769808 5083462260 6777949680 10166924520 20333849040