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5245415511200 = 255217409943013
BaseRepresentation
bin100110001010100101100…
…1000001101010010100000
3200120110100000200211011222
41030111023020031102200
51141420102332324300
615053413254354212
71050653200121264
oct114251310152240
920513300624158
105245415511200
111742628343497
1270871b05b968
132c0843407097
14141c453780a4
15916a2d0d785
hex4c54b20d4a0

5245415511200 has 144 divisors (see below), whose sum is σ = 13591792803960. Its totient is φ = 1969914347520.

The previous prime is 5245415511181. The next prime is 5245415511209. The reversal of 5245415511200 is 21155145425.

It can be written as a sum of positive squares in 12 ways, for example, as 650274508816 + 4595141002384 = 806396^2 + 2143628^2 .

It is not an unprimeable number, because it can be changed into a prime (5245415511209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5090894 + ... + 6033906.

Almost surely, 25245415511200 is an apocalyptic number.

5245415511200 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 5245415511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795896401980).

5245415511200 is an abundant number, since it is smaller than the sum of its proper divisors (8346377292760).

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

5245415511200 is a wasteful number, since it uses less digits than its factorization.

5245415511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943459 (or 943446 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 35.

The spelling of 5245415511200 in words is "five trillion, two hundred forty-five billion, four hundred fifteen million, five hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 409 425 544 680 800 818 850 1360 1636 1700 2045 2720 3272 3400 4090 6544 6800 6953 8180 10225 13088 13600 13906 16360 20450 27812 32720 34765 40900 55624 65440 69530 81800 111248 139060 163600 173825 222496 278120 327200 347650 556240 695300 943013 1112480 1390600 1886026 2781200 3772052 4715065 5562400 7544104 9430130 15088208 16031221 18860260 23575325 30176416 32062442 37720520 47150650 64124884 75441040 80156105 94301300 128249768 150882080 160312210 188602600 256499536 320624420 377205200 385692317 400780525 512999072 641248840 754410400 771384634 801561050 1282497680 1542769268 1603122100 1928461585 2564995360 3085538536 3206244200 3856923170 6171077072 6412488400 6556769389 7713846340 9642307925 12342154144 12824976800 13113538778 15427692680 19284615850 26227077556 30855385360 32783846945 38569231700 52454155112 61710770720 65567693890 77138463400 104908310224 131135387780 154276926800 163919234725 209816620448 262270775560 308553853600 327838469450 524541551120 655676938900 1049083102240 1311353877800 2622707755600 5245415511200