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20751377640 = 23357132118701
BaseRepresentation
bin10011010100111000…
…001110010011101000
31222120012101012121020
4103110320032103220
5314444323041030
613311050012440
71333144541160
oct232470162350
958505335536
1020751377640
118889680184
124031717120
131c592654a6
14100bdd55a0
15816bdb510
hex4d4e0e4e8

20751377640 has 128 divisors (see below), whose sum is σ = 71205246720. Its totient is φ = 4739328000.

The previous prime is 20751377629. The next prime is 20751377701. The reversal of 20751377640 is 4677315702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20751377592 and 20751377601.

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, 1100290 + ... + 1118990.

It is an arithmetic number, because the mean of its divisors is an integer number (556290990).

Almost surely, 220751377640 is an apocalyptic number.

20751377640 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 20751377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35602623360).

20751377640 is an abundant number, since it is smaller than the sum of its proper divisors (50453869080).

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

20751377640 is a wasteful number, since it uses less digits than its factorization.

20751377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 20751377640 in words is "twenty billion, seven hundred fifty-one million, three hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1321 2642 3963 5284 6605 7926 9247 10568 13210 15852 18494 18701 19815 26420 27741 31704 36988 37402 39630 46235 52840 55482 56103 73976 74804 79260 92470 93505 110964 112206 130907 138705 149608 158520 184940 187010 221928 224412 261814 277410 280515 369880 374020 392721 448824 523628 554820 561030 654535 748040 785442 1047256 1109640 1122060 1309070 1570884 1963605 2244120 2618140 3141768 3927210 5236280 7854420 15708840 24704021 49408042 74112063 98816084 123520105 148224126 172928147 197632168 247040210 296448252 345856294 370560315 494080420 518784441 592896504 691712588 741120630 864640735 988160840 1037568882 1383425176 1482241260 1729281470 2075137764 2593922205 2964482520 3458562940 4150275528 5187844410 6917125880 10375688820 20751377640