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5372195040 = 2532521117681
BaseRepresentation
bin1010000000011010…
…10011000011100000
3111212101201210011200
411000031103003200
542000240220130
62245024441200
7250061622132
oct50015230340
914771653150
105372195040
112307511713
12105b179200
13677cb6344
1438d6a9052
15216976760
hex1403530e0

5372195040 has 144 divisors (see below), whose sum is σ = 18420541776. Its totient is φ = 1425715200.

The previous prime is 5372195039. The next prime is 5372195083. The reversal of 5372195040 is 405912735.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5372194986 and 5372195004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295000 + ... + 312680.

It is an arithmetic number, because the mean of its divisors is an integer number (127920429).

Almost surely, 25372195040 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 5372195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210270888).

5372195040 is an abundant number, since it is smaller than the sum of its proper divisors (13048346736).

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

5372195040 is a wasteful number, since it uses less digits than its factorization.

5372195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17913 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5372195040 is about 73295.2593282813. The cubic root of 5372195040 is about 1751.3942673618.

The spelling of 5372195040 in words is "five billion, three hundred seventy-two million, one hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 211 240 288 360 422 480 633 720 844 1055 1266 1440 1688 1899 2110 2532 3165 3376 3798 4220 5064 6330 6752 7596 8440 9495 10128 12660 15192 16880 17681 18990 20256 25320 30384 33760 35362 37980 50640 53043 60768 70724 75960 88405 101280 106086 141448 151920 159129 176810 212172 265215 282896 303840 318258 353620 424344 530430 565792 636516 707240 795645 848688 1060860 1273032 1414480 1591290 1697376 2121720 2546064 2828960 3182580 3730691 4243440 5092128 6365160 7461382 8486880 11192073 12730320 14922764 18653455 22384146 25460640 29845528 33576219 37306910 44768292 55960365 59691056 67152438 74613820 89536584 111920730 119382112 134304876 149227640 167881095 179073168 223841460 268609752 298455280 335762190 358146336 447682920 537219504 596910560 671524380 895365840 1074439008 1343048760 1790731680 2686097520 5372195040