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207492172300 = 225271738334549
BaseRepresentation
bin1100000100111101111…
…1110100101000001100
3201211120111010110202101
43001033133310220030
511344420444003200
6235153125204444
720663564235640
oct3011737645014
9654514113671
10207492172300
117aaa6a16136
1234268860724
131674959931a
14a085156c20
1555e60ac26a
hex304f7f4a0c

207492172300 has 144 divisors (see below), whose sum is σ = 545111985600. Its totient is φ = 66923274240.

The previous prime is 207492172271. The next prime is 207492172309. The reversal of 207492172300 is 3271294702.

207492172300 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 207492172300.

It is not an unprimeable number, because it can be changed into a prime (207492172309) 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 47 ways as a sum of consecutive naturals, for example, 45610426 + ... + 45614974.

It is an arithmetic number, because the mean of its divisors is an integer number (3785499900).

Almost surely, 2207492172300 is an apocalyptic number.

207492172300 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 207492172300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272555992800).

207492172300 is an abundant number, since it is smaller than the sum of its proper divisors (337619813300).

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

207492172300 is a wasteful number, since it uses less digits than its factorization.

207492172300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 207492172300 in words is "two hundred seven billion, four hundred ninety-two million, one hundred seventy-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 3833 4549 5950 7666 9098 11900 15332 18196 19165 22745 26831 31843 38330 45490 53662 63686 65161 76660 77333 90980 95825 107324 113725 127372 130322 134155 154666 159215 191650 227450 260644 268310 309332 318430 325805 383300 386665 454900 456127 536620 541331 636860 651610 670775 773330 796075 912254 1082662 1303220 1341550 1546660 1592150 1629025 1824508 1933325 2165324 2280635 2683100 2706655 3184300 3258050 3866650 4561270 5413310 6516100 7733300 9122540 10826620 11403175 13533275 17436317 22806350 27066550 34872634 45612700 54133100 69745268 87181585 122054219 174363170 244108438 296417389 348726340 435907925 488216876 592834778 610271095 871815850 1185669556 1220542190 1482086945 1743631700 2074921723 2441084380 2964173890 3051355475 4149843446 5928347780 6102710950 7410434725 8299686892 10374608615 12205421900 14820869450 20749217230 29641738900 41498434460 51873043075 103746086150 207492172300