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52523541100 = 225219431933331
BaseRepresentation
bin110000111010101001…
…011010001001101100
312000120110022100020001
4300322221122021230
51330032011303400
640043505434044
73536403506302
oct607251321154
9160513270201
1052523541100
1120303195908
12a21a03b924
134c50822304
14278394c272
1515761c0a6a
hexc3aa5a26c

52523541100 has 144 divisors (see below), whose sum is σ = 123438071680. Its totient is φ = 19334246400.

The previous prime is 52523541061. The next prime is 52523541101. The reversal of 52523541100 is 114532525.

It is not an unprimeable number, because it can be changed into a prime (52523541101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15766435 + ... + 15769765.

Almost surely, 252523541100 is an apocalyptic number.

52523541100 is a gapful number since it is divisible by the number (50) 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 52523541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719035840).

52523541100 is an abundant number, since it is smaller than the sum of its proper divisors (70914530580).

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

52523541100 is a wasteful number, since it uses less digits than its factorization.

52523541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 52523541100 in words is "fifty-two billion, five hundred twenty-three million, five hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 193 215 380 386 430 475 772 817 860 950 965 1075 1634 1900 1930 2150 3268 3331 3667 3860 4085 4300 4825 6662 7334 8170 8299 9650 13324 14668 16340 16598 16655 18335 19300 20425 33196 33310 36670 40850 41495 63289 66620 73340 81700 82990 83275 91675 126578 143233 157681 165980 166550 183350 207475 253156 286466 315362 316445 333100 366700 414950 572932 630724 632890 642883 716165 788405 829900 1265780 1285766 1432330 1576810 1582225 2571532 2721427 2864660 3153620 3164450 3214415 3580825 3942025 5442854 6328900 6428830 7161650 7884050 10885708 12214777 12857660 13607135 14323300 15768100 16072075 24429554 27214270 27643969 32144150 48859108 54428540 55287938 61073885 64288300 68035675 110575876 122147770 136071350 138219845 244295540 272142700 276439690 305369425 525235411 552879380 610738850 691099225 1050470822 1221477700 1382198450 2100941644 2626177055 2764396900 5252354110 10504708220 13130885275 26261770550 52523541100