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70733127200 = 255294032
BaseRepresentation
bin100000111100000000…
…1011101111000100000
320202120111212011022212
41001320001131320200
52124330140032300
652254440221252
75052555442511
oct1017001357040
9222514764285
1070733127200
1127aa800841a
121186046a828
1368932b5228
1435d0134a08
151c8eb78935
hex107805de20

70733127200 has 54 divisors (see below), whose sum is σ = 172695612789. Its totient is φ = 28290241920.

The previous prime is 70733127187. The next prime is 70733127203. The reversal of 70733127200 is 272133707.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 69318464656 + 1414662544 = 263284^2 + 37612^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=188060.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70733127203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7517699 + ... + 7527101.

Almost surely, 270733127200 is an apocalyptic number.

It is an amenable number.

70733127200 is an abundant number, since it is smaller than the sum of its proper divisors (101962485589).

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

70733127200 is an frugal number, since it uses more digits than its factorization.

70733127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

Multiplying 70733127200 by its sum of digits (32), we get a square (2263460070400 = 15044802).

70733127200 divided by its sum of digits (32) gives a square (2210410225 = 470152).

The spelling of 70733127200 in words is "seventy billion, seven hundred thirty-three million, one hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 9403 18806 37612 47015 75224 94030 150448 188060 235075 300896 376120 470150 752240 940300 1504480 1880600 3761200 7522400 88416409 176832818 353665636 442082045 707331272 884164090 1414662544 1768328180 2210410225 2829325088 3536656360 4420820450 7073312720 8841640900 14146625440 17683281800 35366563600 70733127200