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20413721600 = 210521941969
BaseRepresentation
bin10011000000110000…
…001010110000000000
31221200200000111120222
4103000300022300000
5313301403042400
613213344522212
71321604525216
oct230060126000
957620014528
1020413721600
1187260171a8
123b58620368
131c04311a0c
14db921ccb6
157e7240185
hex4c0c0ac00

20413721600 has 132 divisors (see below), whose sum is σ = 53265805800. Its totient is φ = 7735541760.

The previous prime is 20413721597. The next prime is 20413721623. The reversal of 20413721600 is 612731402.

It is a self number, because there is not a number n which added to its sum of digits gives 20413721600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465416 + ... + 507384.

Almost surely, 220413721600 is an apocalyptic number.

20413721600 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 20413721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26632902900).

20413721600 is an abundant number, since it is smaller than the sum of its proper divisors (32852084200).

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

20413721600 is a wasteful number, since it uses less digits than its factorization.

20413721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42018 (or 41995 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 20413721600 in words is "twenty billion, four hundred thirteen million, seven hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 512 608 640 760 800 950 1024 1216 1280 1520 1600 1900 2432 2560 3040 3200 3800 4864 5120 6080 6400 7600 9728 12160 12800 15200 19456 24320 25600 30400 41969 48640 60800 83938 97280 121600 167876 209845 243200 335752 419690 486400 671504 797411 839380 1049225 1343008 1594822 1678760 2098450 2686016 3189644 3357520 3987055 4196900 5372032 6379288 6715040 7974110 8393800 10744064 12758576 13430080 15948220 16787600 19935275 21488128 25517152 26860160 31896440 33575200 39870550 42976256 51034304 53720320 63792880 67150400 79741100 102068608 107440640 127585760 134300800 159482200 204137216 214881280 255171520 268601600 318964400 408274432 510343040 537203200 637928800 816548864 1020686080 1074406400 1275857600 2041372160 2551715200 4082744320 5103430400 10206860800 20413721600