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163072806400 = 295271820009
BaseRepresentation
bin1001011111011111100…
…1011000111000000000
3120120220211020212221101
42113313321120320000
510132433114301100
6202525320104144
714532044661310
oct2276771307000
9516824225841
10163072806400
1163182391089
1227730905054
13124baa6316a
147c6da6d440
15439661386a
hex25f7e58e00

163072806400 has 120 divisors (see below), whose sum is σ = 461743817040. Its totient is φ = 55910645760.

The previous prime is 163072806397. The next prime is 163072806431. The reversal of 163072806400 is 4608270361.

163072806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 163072806400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820405 + ... + 999604.

It is an arithmetic number, because the mean of its divisors is an integer number (3847865142).

Almost surely, 2163072806400 is an apocalyptic number.

163072806400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163072806400 is an abundant number, since it is smaller than the sum of its proper divisors (298671010640).

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

163072806400 is an equidigital number, since it uses as much as digits as its factorization.

163072806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820044 (or 1820023 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 163072806400 in words is "one hundred sixty-three billion, seventy-two million, eight hundred six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 1820009 3640018 7280036 9100045 12740063 14560072 18200090 25480126 29120144 36400180 45500225 50960252 58240288 63700315 72800360 91000450 101920504 116480576 127400630 145600720 182000900 203841008 232961152 254801260 291201440 318501575 364001800 407682016 465922304 509602520 582402880 637003150 728003600 815364032 931844608 1019205040 1164805760 1274006300 1456007200 1630728064 2038410080 2329611520 2548012600 2912014400 3261456128 4076820160 4659223040 5096025200 5824028800 6522912256 8153640320 10192050400 11648057600 16307280640 20384100800 23296115200 32614561280 40768201600 81536403200 163072806400