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5070701200 = 2452197229281
BaseRepresentation
bin1001011100011110…
…01100001010010000
3111002101102022101011
410232033030022100
540341044414300
62155054420304
7236441151265
oct45617141220
914071368334
105070701200
112172307954
12b96201694
1362a6b4616
1436162726c
151ea26eeba
hex12e3cc290

5070701200 has 120 divisors (see below), whose sum is σ = 12341431080. Its totient is φ = 2002022400.

The previous prime is 5070701191. The next prime is 5070701203. The reversal of 5070701200 is 21070705.

It can be written as a sum of positive squares in 12 ways, for example, as 94245264 + 4976455936 = 9708^2 + 70544^2 .

It is not an unprimeable number, because it can be changed into a prime (5070701203) 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, 18045060 + ... + 18045340.

It is an arithmetic number, because the mean of its divisors is an integer number (102845259).

Almost surely, 25070701200 is an apocalyptic number.

5070701200 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 5070701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170715540).

5070701200 is an abundant number, since it is smaller than the sum of its proper divisors (7270729880).

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

5070701200 is a wasteful number, since it uses less digits than its factorization.

5070701200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 5070701200 is about 71208.8561907857. The cubic root of 5070701200 is about 1717.9980764718.

Adding to 5070701200 its reverse (21070705), we get a palindrome (5091771905).

The spelling of 5070701200 in words is "five billion, seventy million, seven hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 197 200 229 281 394 400 458 562 788 916 985 1124 1145 1405 1576 1832 1970 2248 2290 2810 3152 3664 3940 4496 4580 4925 5620 5725 7025 7880 9160 9850 11240 11450 14050 15760 18320 19700 22480 22900 28100 39400 45113 45800 55357 56200 64349 78800 90226 91600 110714 112400 128698 180452 221428 225565 257396 276785 321745 360904 442856 451130 514792 553570 643490 721808 885712 902260 1029584 1107140 1127825 1286980 1383925 1608725 1804520 2214280 2255650 2573960 2767850 3217450 3609040 4428560 4511300 5147920 5535700 6434900 9022600 11071400 12676753 12869800 18045200 22142800 25353506 25739600 50707012 63383765 101414024 126767530 202828048 253535060 316918825 507070120 633837650 1014140240 1267675300 2535350600 5070701200