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20973750263088 = 2437389268359809
BaseRepresentation
bin1001100010011010101001…
…11011110001110100110000
32202021001220201101010120120
410301031110323301310300
510222113220031404323
6112335112521410240
74263206040500460
oct461152473616460
982231821333516
1020973750263088
116756a1026a087
122428a2a639980
13b91a7c15916c
145271c6361ba0
15265896d675e3
hex131354ef1d30

20973750263088 has 160 divisors (see below), whose sum is σ = 62105861875200. Its totient is φ = 5974767525888.

The previous prime is 20973750263087. The next prime is 20973750263117. The reversal of 20973750263088 is 88036205737902.

It is not an unprimeable number, because it can be changed into a prime (20973750263087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350648928 + ... + 350708736.

It is an arithmetic number, because the mean of its divisors is an integer number (388161636720).

Almost surely, 220973750263088 is an apocalyptic number.

20973750263088 is a gapful number since it is divisible by the number (28) 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 20973750263088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31052930937600).

20973750263088 is an abundant number, since it is smaller than the sum of its proper divisors (41132111612112).

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

20973750263088 is a wasteful number, since it uses less digits than its factorization.

20973750263088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62899 (or 62893 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 20973750263088 in words is "twenty trillion, nine hundred seventy-three billion, seven hundred fifty million, two hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2683 2723 3112 4668 5366 5446 6224 8049 8169 9336 10732 10892 16098 16338 18672 18781 21464 21784 32196 32676 37562 42928 43568 56343 59809 64392 65352 75124 112686 119618 128784 130704 150248 179427 225372 239236 300496 358854 418663 450744 478472 717708 837326 901488 956944 1043687 1255989 1435416 1674652 2087374 2511978 2870832 3131061 3349304 4174748 5023956 6262122 6698608 7305809 8349496 10047912 12524244 14611618 16698992 20095824 21917427 23265701 25048488 29223236 43834854 46531402 50096976 58446472 69797103 87669708 93062804 116892944 139594206 160467547 162859907 175339416 186125608 279188412 320935094 325719814 350678832 372251216 481402641 488579721 558376824 641870188 651439628 962805282 977159442 1116753648 1123272829 1283740376 1302879256 1925610564 1954318884 2246545658 2567480752 2605758512 3369818487 3851221128 3908637768 4493091316 6739636974 7702442256 7817275536 8986182632 13479273948 17972365264 26958547896 53917095792 62421875783 124843751566 187265627349 249687503132 374531254698 436953130481 499375006264 749062509396 873906260962 998750012528 1310859391443 1498125018792 1747812521924 2621718782886 2996250037584 3495625043848 5243437565772 6991250087696 10486875131544 20973750263088