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20903696800 = 2552731120413
BaseRepresentation
bin10011011101111101…
…010001100110100000
31222221210222211012121
4103131331101212200
5320302321244200
613334130434024
71340004330310
oct233575214640
958853884177
1020903696800
118957656888
124074732914
131c81996b7c
141024325440
15825277e1a
hex4ddf519a0

20903696800 has 144 divisors (see below), whose sum is σ = 60203146752. Its totient is φ = 6935731200.

The previous prime is 20903696761. The next prime is 20903696819. The reversal of 20903696800 is 869630902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113394 + ... + 233806.

It is an arithmetic number, because the mean of its divisors is an integer number (418077408).

Almost surely, 220903696800 is an apocalyptic number.

20903696800 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 20903696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101573376).

20903696800 is an abundant number, since it is smaller than the sum of its proper divisors (39299449952).

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

20903696800 is a wasteful number, since it uses less digits than its factorization.

20903696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120471 (or 120458 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 20903696800 in words is "twenty billion, nine hundred three million, six hundred ninety-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 4960 5425 5600 6200 6944 8680 10850 12400 17360 21700 24800 34720 43400 86800 120413 173600 240826 481652 602065 842891 963304 1204130 1685782 1926608 2408260 3010325 3371564 3732803 3853216 4214455 4816520 6020650 6743128 7465606 8428910 9633040 12041300 13486256 14931212 16857820 18664015 19266080 21072275 24082600 26129621 26972512 29862424 33715640 37328030 42144550 48165200 52259242 59724848 67431280 74656060 84289100 93320075 96330400 104518484 119449696 130648105 134862560 149312120 168578200 186640150 209036968 261296210 298624240 337156400 373280300 418073936 522592420 597248480 653240525 674312800 746560600 836147872 1045184840 1306481050 1493121200 2090369680 2612962100 2986242400 4180739360 5225924200 10451848400 20903696800