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20858339840 = 295131932987
BaseRepresentation
bin10011011011010000…
…010000001000000000
31222211122122110011012
4103123100100020000
5320204213333330
613325430340052
71335613651262
oct233320201000
958748573135
1020858339840
118933a97498
1240614ba628
131c75475c30
14101c2b9b32
158212b8c95
hex4db410200

20858339840 has 160 divisors (see below), whose sum is σ = 56694496320. Its totient is φ = 7295975424.

The previous prime is 20858339833. The next prime is 20858339849. The reversal of 20858339840 is 4893385802.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20858339849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615827 + ... + 648813.

It is an arithmetic number, because the mean of its divisors is an integer number (354340602).

Almost surely, 220858339840 is an apocalyptic number.

20858339840 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 20858339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28347248160).

20858339840 is an abundant number, since it is smaller than the sum of its proper divisors (35836156480).

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

20858339840 is a wasteful number, since it uses less digits than its factorization.

20858339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33042 (or 33026 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 20858339840 in words is "twenty billion, eight hundred fifty-eight million, three hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 320 380 416 494 512 520 608 640 760 832 988 1040 1216 1235 1280 1520 1664 1976 2080 2432 2470 2560 3040 3328 3952 4160 4864 4940 6080 6656 7904 8320 9728 9880 12160 15808 16640 19760 24320 31616 32987 33280 39520 48640 63232 65974 79040 126464 131948 158080 164935 263896 316160 329870 428831 527792 626753 632320 659740 857662 1055584 1253506 1319480 1715324 2111168 2144155 2507012 2638960 3133765 3430648 4222336 4288310 5014024 5277920 6267530 6861296 8147789 8444672 8576620 10028048 10555840 12535060 13722592 16295578 16889344 17153240 20056096 21111680 25070120 27445184 32591156 34306480 40112192 40738945 42223360 50140240 54890368 65182312 68612960 80224384 81477890 84446720 100280480 109780736 130364624 137225920 160448768 162955780 200560960 219561472 260729248 274451840 320897536 325911560 401121920 521458496 548903680 651823120 802243840 1042916992 1097807360 1303646240 1604487680 2085833984 2607292480 4171667968 5214584960 10429169920 20858339840