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20009983060480 = 29572609427991
BaseRepresentation
bin1001000110010111011111…
…11011101010101000000000
32121211221021010100112010111
410203023233323222220000
510110320421130413410
6110320243113441104
74133450014442320
oct443135773525000
977757233315114
1020009983060480
116415205862146
1222b209aa10194
13b21c1961cb0a
144d26ba051280
1524a78b4e9b8a
hex1232efeeaa00

20009983060480 has 160 divisors (see below), whose sum is σ = 54852071028480. Its totient is φ = 6857920020480.

The previous prime is 20009983060471. The next prime is 20009983060493. The reversal of 20009983060480 is 8406038990002.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46539285 + ... + 46967275.

It is an arithmetic number, because the mean of its divisors is an integer number (342825443928).

Almost surely, 220009983060480 is an apocalyptic number.

20009983060480 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 20009983060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426035514240).

20009983060480 is an abundant number, since it is smaller than the sum of its proper divisors (34842087968000).

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

20009983060480 is an equidigital number, since it uses as much as digits as its factorization.

20009983060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430630 (or 430614 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 20009983060480 in words is "twenty trillion, nine billion, nine hundred eighty-three million, sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 2609 3584 4480 5218 8960 10436 13045 17920 18263 20872 26090 36526 41744 52180 73052 83488 91315 104360 146104 166976 182630 208720 292208 333952 365260 417440 427991 584416 667904 730520 834880 855982 1168832 1335808 1461040 1669760 1711964 2139955 2337664 2922080 2995937 3339520 3423928 4279910 4675328 5844160 5991874 6679040 6847856 8559820 9350656 11688320 11983748 13695712 14979685 17119640 23376640 23967496 27391424 29959370 34239280 46753280 47934992 54782848 59918740 68478560 95869984 109565696 119837480 136957120 191739968 219131392 239674960 273914240 383479936 479349920 547828480 766959872 958699840 1095656960 1116628519 1533919744 1917399680 2233257038 3834799360 4466514076 5583142595 7669598720 7816399633 8933028152 11166285190 15632799266 17866056304 22332570380 31265598532 35732112608 39081998165 44665140760 62531197064 71464225216 78163996330 89330281520 125062394128 142928450432 156327992660 178660563040 250124788256 285856900864 312655985320 357321126080 500249576512 571713801728 625311970640 714642252160 1000499153024 1250623941280 1429284504320 2000998306048 2501247882560 2858569008640 4001996612096 5002495765120 10004991530240 20009983060480