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20481308354000 = 2453131237636817
BaseRepresentation
bin1001010100000101011010…
…00110111110010111010000
32200111222211121001012221002
410222002231012332113100
510141031204414312000
6111320552210321132
74212503625360434
oct452025506762720
980458747035832
1020481308354000
11658708a68a20a
1223694b88891a8
13b574c0b28440
1450b42cc529c4
15257b74a3d8d5
hex12a0ad1be5d0

20481308354000 has 160 divisors (see below), whose sum is σ = 53376525829536. Its totient is φ = 7556203929600.

The previous prime is 20481308353931. The next prime is 20481308354051. The reversal of 20481308354000 is 45380318402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18000028110736 + 2481280243264 = 4242644^2 + 1575208^2 .

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, 31843592 + ... + 32480408.

Almost surely, 220481308354000 is an apocalyptic number.

20481308354000 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 20481308354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688262914768).

20481308354000 is an abundant number, since it is smaller than the sum of its proper divisors (32895217475536).

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

20481308354000 is a wasteful number, since it uses less digits than its factorization.

20481308354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638090 (or 638074 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 20481308354000 in words is "twenty trillion, four hundred eighty-one billion, three hundred eight million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1237 1300 1625 2000 2474 2600 3250 4948 5200 6185 6500 9896 12370 13000 16081 19792 24740 26000 30925 32162 49480 61850 64324 80405 98960 123700 128648 154625 160810 247400 257296 309250 321620 402025 494800 618500 636817 643240 804050 1237000 1273634 1286480 1608100 2010125 2474000 2547268 3184085 3216200 4020250 5094536 6368170 6432400 8040500 8278621 10189072 12736340 15920425 16081000 16557242 25472680 31840850 32162000 33114484 41393105 50945360 63681700 66228968 79602125 82786210 127363400 132457936 159204250 165572420 206965525 254726800 318408500 331144840 413931050 636817000 662289680 787742629 827862100 1034827625 1273634000 1575485258 1655724200 2069655250 3150970516 3311448400 3938713145 4139310500 6301941032 7877426290 8278621000 10240654177 12603882064 15754852580 16557242000 19693565725 20481308354 31509705160 39387131450 40962616708 51203270885 63019410320 78774262900 81925233416 98467828625 102406541770 157548525800 163850466832 196935657250 204813083540 256016354425 315097051600 393871314500 409626167080 512032708850 787742629000 819252334160 1024065417700 1280081772125 1575485258000 2048130835400 2560163544250 4096261670800 5120327088500 10240654177000 20481308354000