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20871763440 = 24351110376757
BaseRepresentation
bin10011011100000011…
…011101010111110000
31222212120220102212120
4103130003131113300
5320221132412230
613331030154240
71336136030163
oct233403352760
958776812776
1020871763440
118940625880
124065ab2980
131c78195ba8
14101ddb1ada
1582256b310
hex4dc0dd5f0

20871763440 has 160 divisors (see below), whose sum is σ = 71270724096. Its totient is φ = 5010631680.

The previous prime is 20871763439. The next prime is 20871763453. The reversal of 20871763440 is 4436717802.

It is a junction number, because it is equal to n+sod(n) for n = 20871763392 and 20871763401.

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, 233542 + ... + 310298.

Almost surely, 220871763440 is an apocalyptic number.

20871763440 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 20871763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35635362048).

20871763440 is an abundant number, since it is smaller than the sum of its proper divisors (50398960656).

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

20871763440 is a wasteful number, since it uses less digits than its factorization.

20871763440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76887 (or 76881 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 20871763440 in words is "twenty billion, eight hundred seventy-one million, seven hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 103 110 120 132 165 176 206 220 240 264 309 330 412 440 515 528 618 660 824 880 1030 1133 1236 1320 1545 1648 2060 2266 2472 2640 3090 3399 4120 4532 4944 5665 6180 6798 8240 9064 11330 12360 13596 16995 18128 22660 24720 27192 33990 45320 54384 67980 76757 90640 135960 153514 230271 271920 307028 383785 460542 614056 767570 844327 921084 1151355 1228112 1535140 1688654 1842168 2302710 2532981 3070280 3377308 3684336 4221635 4605420 5065962 6140560 6754616 7905971 8443270 9210840 10131924 12664905 13509232 15811942 16886540 18421680 20263848 23717913 25329810 31623884 33773080 39529855 40527696 47435826 50659620 63247768 67546160 79059710 86965681 94871652 101319240 118589565 126495536 158119420 173931362 189743304 202638480 237179130 260897043 316238840 347862724 379486608 434828405 474358260 521794086 632477680 695725448 869656810 948716520 1043588172 1304485215 1391450896 1739313620 1897433040 2087176344 2608970430 3478627240 4174352688 5217940860 6957254480 10435881720 20871763440