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31873480000 = 26545771381
BaseRepresentation
bin11101101011110011…
…101011010101000000
310001021022120112210021
4131223303223111000
51010234102330000
622350435143224
72205566052445
oct355363532500
9101238515707
1031873480000
111257682630a
126216444b14
13300c57194b
1417851ab9cc
15c6834911a
hex76bceb540

31873480000 has 140 divisors (see below), whose sum is σ = 79230178852. Its totient is φ = 12718080000.

The previous prime is 31873479961. The next prime is 31873480007. The reversal of 31873480000 is 8437813.

It can be written as a sum of positive squares in 10 ways, for example, as 14521214016 + 17352265984 = 120504^2 + 131728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31873480007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23079310 + ... + 23080690.

Almost surely, 231873480000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31873480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615089426).

31873480000 is an abundant number, since it is smaller than the sum of its proper divisors (47356698852).

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

31873480000 is an equidigital number, since it uses as much as digits as its factorization.

31873480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 31873480000 in words is "thirty-one billion, eight hundred seventy-three million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 577 625 800 1000 1154 1250 1381 1600 2000 2308 2500 2762 2885 4000 4616 5000 5524 5770 6905 8000 9232 10000 11048 11540 13810 14425 18464 20000 22096 23080 27620 28850 34525 36928 40000 44192 46160 55240 57700 69050 72125 88384 92320 110480 115400 138100 144250 172625 184640 220960 230800 276200 288500 345250 360625 441920 461600 552400 577000 690500 721250 796837 863125 923200 1104800 1154000 1381000 1442500 1593674 1726250 2209600 2308000 2762000 2885000 3187348 3452500 3984185 4616000 5524000 5770000 6374696 6905000 7968370 11048000 11540000 12749392 13810000 15936740 19920925 23080000 25498784 27620000 31873480 39841850 50997568 55240000 63746960 79683700 99604625 127493920 159367400 199209250 254987840 318734800 398418500 498023125 637469600 796837000 996046250 1274939200 1593674000 1992092500 3187348000 3984185000 6374696000 7968370000 15936740000 31873480000