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70338996225 = 3252176812
BaseRepresentation
bin100000110000010000…
…1111110100000000001
320201120001020020021100
41001200201332200001
52123023240334400
652151400445013
75040031413561
oct1014041764001
9221501206240
1070338996225
1127915590a43
1211770479769
13682c74a134
143593a5ada1
151c6a274100
hex106087e801

70338996225 has 27 divisors (see below), whose sum is σ = 125992083529. Its totient is φ = 37512009600.

The previous prime is 70338996199. The next prime is 70338996229. The reversal of 70338996225 is 52269983307.

It is a happy number.

The square root of 70338996225 is 265215.

It is a perfect power (a square), and thus also a powerful number.

70338996225 is a `hidden beast` number, since 7 + 0 + 3 + 3 + 8 + 9 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9580690161 + 60758306064 = 97881^2 + 246492^2 .

It is a de Polignac number, because none of the positive numbers 2k-70338996225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70338996229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3969385 + ... + 3987065.

Almost surely, 270338996225 is an apocalyptic number.

70338996225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70338996225 is the 265215-th square number.

70338996225 is the 132608-th centered octagonal number.

It is an amenable number.

70338996225 is a deficient number, since it is larger than the sum of its proper divisors (55653087304).

70338996225 is an frugal number, since it uses more digits than its factorization.

70338996225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35378 (or 17689 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 70338996225 in words is "seventy billion, three hundred thirty-eight million, nine hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 17681 53043 88405 159129 265215 442025 795645 1326075 3978225 312617761 937853283 1563088805 2813559849 4689266415 7815444025 14067799245 23446332075 70338996225